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7 pages, 2196 KiB  
Communication
Temperature Monitoring in PIC Surface
by Sushma Pandey, Antonio Teixeira and Mario Lima
Photonics 2025, 12(1), 54; https://doi.org/10.3390/photonics12010054 - 9 Jan 2025
Viewed by 363
Abstract
In this work we present the extended work of the previously proposed scheme for in-PIC temperature monitoring. This can be used in any photonic integrated circuitry platform, allowing simplified temperature monitoring and improved independence of the interrogating laser wavelength. Theoretically, power sensitivity was [...] Read more.
In this work we present the extended work of the previously proposed scheme for in-PIC temperature monitoring. This can be used in any photonic integrated circuitry platform, allowing simplified temperature monitoring and improved independence of the interrogating laser wavelength. Theoretically, power sensitivity was observed to be 0.77 dB/°C and 0.98 dB/°C for common mode and differential mode, respectively. The experimentally noted sensitivity of common mode and differential mode are 1.45 dB/°C and 0.8 dB/°C, respectively, at 1524 nm. The scheme allows the monitoring of the average temperature on the surface of the chip, which results from the global effect that affects both gratings (common mode) and the monitoring of the difference in temperature between gratings (differential mode). Full article
(This article belongs to the Special Issue Optical Communication Networks: Advancements and Future Directions)
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Figure 1

Figure 1
<p>(<b>a</b>) Example diagram showing electrical connection of a PIC comprising several active or heat-controlled building blocks (BB) (<b>b</b>) Contour of temperature over the surface of exemplary PIC when LD2 is on biased at high current (T<sub>H</sub>: higher temperature; T<sub>L</sub>: lower temperature).</p>
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<p>(<b>a</b>) Transmission spectrum of a grating with Bragg wavelength l<sub>B1</sub> for different temperatures. (<b>b</b>) Two Bragg gratings with Bragg wavelengths <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>λ</mi> </mrow> <mrow> <mi>B</mi> <mn>1</mn> </mrow> </msub> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>λ</mi> </mrow> <mrow> <mi>B</mi> <mn>2</mn> </mrow> </msub> </mrow> </semantics></math>. (<b>c</b>) Block diagram of the scheme. LD—laser diode with wavelength <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>λ</mi> </mrow> <mrow> <mi>L</mi> <mi>D</mi> </mrow> </msub> </mrow> </semantics></math> ∈ [<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>λ</mi> </mrow> <mrow> <mi>B</mi> <mn>1</mn> </mrow> </msub> </mrow> </semantics></math>: <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>λ</mi> </mrow> <mrow> <mi>B</mi> <mn>2</mn> </mrow> </msub> </mrow> </semantics></math>]; MMI—multimode interferometer 1:2 splitter/combiner configuration; PIN—Photodiode.</p>
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<p>Testing assembly and experimental setup for the test chip, featuring physical integration with the InP chip for common mode testing and characterization.</p>
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<p>Transmission signal as a function of the wavelength for different TEC temperatures.</p>
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<p>Power vs. temperature observed at wavelengths of 1524 nm, 1525 nm, and 1526 nm from 26 °C to 46 °C for differential mode.</p>
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<p>Common mode transmission signal vs. temperature response at 1524 nm.</p>
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25 pages, 6767 KiB  
Review
Integrated Photonic Neural Networks for Equalizing Optical Communication Signals: A Review
by Luís C. B. Silva, Pablo R. N. Marciano, Maria J. Pontes, Maxwell E. Monteiro, Paulo S. B. André and Marcelo E. V. Segatto
Photonics 2025, 12(1), 39; https://doi.org/10.3390/photonics12010039 - 4 Jan 2025
Viewed by 670
Abstract
The demand for high-capacity communication systems has grown exponentially in recent decades, constituting a technological field in constant change. Data transmission at high rates, reaching tens of Gb/s, and over distances that can reach hundreds of kilometers, still faces barriers to improvement, such [...] Read more.
The demand for high-capacity communication systems has grown exponentially in recent decades, constituting a technological field in constant change. Data transmission at high rates, reaching tens of Gb/s, and over distances that can reach hundreds of kilometers, still faces barriers to improvement, such as distortions in the transmitted signals. Such distortions include chromatic dispersion, which causes a broadening of the transmitted pulse. Therefore, the development of solutions for the adequate recovery of such signals distorted by the complex dynamics of the transmission channel currently constitutes an open problem since, despite the existence of well-known and efficient equalization techniques, these have limitations in terms of processing time, hardware complexity, and especially energy consumption. In this scenario, this paper discusses the emergence of photonic neural networks as a promising alternative for equalizing optical communication signals. Thus, this review focuses on the applications, challenges, and opportunities of implementing integrated photonic neural networks for the scenario of optical signal equalization. The main work carried out, ongoing investigations, and possibilities for new research directions are also addressed. From this review, it can be concluded that perceptron photonic neural networks perform slightly better in equalizing signals transmitted over greater distances than reservoir computing photonic neural networks, but with signals at lower data rates. It is important to emphasize that photonics research has been growing exponentially in recent years, so it is beyond the scope of this review to address all existing applications of integrated photonic neural networks. Full article
(This article belongs to the Special Issue Neuromorphic Photonics)
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Figure 1
<p>Sketch of the integrated photonic circuit that works as a perceptron. Reproduced without modification from M. Mancinelli et al. [<a href="#B76-photonics-12-00039" class="html-bibr">76</a>], © 2022, licensed under a Creative Commons Attribution International License 4.0 (CC BY 4.0).</p>
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<p>Sketch of integrated photonic reservoir computing. Reproduced without modification from P. Stark et al. [<a href="#B60-photonics-12-00039" class="html-bibr">60</a>], © 2020, licensed under a Creative Commons Attribution International License 4.0 (CC BY 4.0).</p>
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<p>Architecture of integrated photonic reservoir computing for equalizing optical communication signals. Reproduced without modification from A. Argyris et al. [<a href="#B73-photonics-12-00039" class="html-bibr">73</a>], © 2018, licensed under a Creative Commons Attribution International License 4.0 (CC BY 4.0).</p>
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<p>Illustration of a fully integrated photonic neural network based on MXene material with an optical nonlinearity unit. Reproduced without modification from A. Hazan et al. [<a href="#B103-photonics-12-00039" class="html-bibr">103</a>], © 2023, licensed under an Attribution-Noncommercial-Noderivs International License 4.0 (CC BY-NC-ND 4.0).</p>
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<p>MNIST classification performance with the MXene saturable absorber acting as a nonlinear activation function. (<b>a</b>) Structure of the fully connected network. (<b>b</b>) Different MXene-based activation functions. (<b>c</b>) Prediction accuracy of the photonic neural network. (<b>d</b>) Convolutional neural network with all-optical nonlinear activation function operations. (<b>e</b>) Model accuracy comparison. (<b>f</b>) Experimental confusion matrices. Reproduced without modification from A. Hazan et al. [<a href="#B103-photonics-12-00039" class="html-bibr">103</a>], © 2023, licensed under an Attribution-Noncommercial-Noderivs International License 4.0 (CC BY-NC-ND 4.0).</p>
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<p>Matrix multiplication computation methods. Reproduced without modification from H. Zhou et al. [<a href="#B107-photonics-12-00039" class="html-bibr">107</a>], © 2022, licensed under a Creative Commons Attribution International License 4.0 (CC BY 4.0).</p>
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<p>(<b>a</b>–<b>c</b>) Matrix multiplication. (<b>d</b>) Electro-optic blocks. (<b>e</b>) Hardware implementation of a neuron in three phases. (<b>f</b>) Matrix–vector multiplication process. (<b>g</b>) The time–division multiplexing scheme followed during the tiled matrix–vector multiplication process of (<b>f</b>). Reproduced without modification from G. Giamougiannis et al. [<a href="#B109-photonics-12-00039" class="html-bibr">109</a>], © 2023, licensed under a Creative Commons Attribution International License 4.0 (CC BY 4.0).</p>
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<p>BER metric as a function of the transmission distance in the short-reach communication system. Reproduced without modification from A. Argyris et al. [<a href="#B73-photonics-12-00039" class="html-bibr">73</a>], © 2018, licensed under a Creative Commons Attribution International License 4.0 (CC BY 4.0).</p>
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<p>Eye diagrams. (<b>a</b>) Distorted signal. (<b>b</b>,<b>d</b>) Signal after a delay line filter with (<b>b</b>) limited time-offset freedom and (<b>d</b>) full time-offset freedom. (<b>c</b>,<b>e</b>) Similar to (<b>b</b>,<b>d</b>) for the signals after equalization with photonic reservoir computing. Reproduced without modification from S. Sackesyn et al. [<a href="#B75-photonics-12-00039" class="html-bibr">75</a>], © 2021, licensed under the terms of the OSA Open Access Publishing Agreement.</p>
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<p>BER as a function of the target symbol for the binary pattern recognition task. Different colored bars refer to different bit rates. Transparent bars refer to a BER value equal to the statistical limit. Reproduced without modification from M. Mancinelli et al. [<a href="#B76-photonics-12-00039" class="html-bibr">76</a>], © 2022, licensed under a Creative Commons Attribution International License 4.0 (CC BY 4.0).</p>
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<p>Experimental results of the photonic neural network. (<b>a</b>–<b>c</b>) Eye diagrams of (<b>a</b>) the input signal, (<b>b</b>) the transmitted signal without equalization, and (<b>c</b>) the transmitted signal with the optical equalization. (<b>d</b>–<b>f</b>) Histograms of the power levels for (<b>d</b>) the input signal, (<b>e</b>) the transmitted signal without equalization, and (<b>f</b>) the transmitted signal with the optical equalization. (<b>g</b>) Time sequences for the transmitted signal. Reproduced without modification from E. Staffoli et al. [<a href="#B80-photonics-12-00039" class="html-bibr">80</a>], © 2023, licensed under the terms of the OSA Open Access Publishing Agreement.</p>
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<p>BER versus the optical input power with and without equalization with the photonic neural network (PNN) for the OFDM signal at 10 GHz. Reproduced without modification with permission from P. R. N. Marciano et al. [<a href="#B81-photonics-12-00039" class="html-bibr">81</a>].</p>
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<p>(<b>a</b>) Constellation diagram measured of the OFDM signal without equalization. (<b>b</b>) Constellation diagram measured in the same scenario, but with the optical equalization performed by the photonic neural network device. Reproduced without modification with permission from P. R. N. Marciano et al. [<a href="#B81-photonics-12-00039" class="html-bibr">81</a>].</p>
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19 pages, 5615 KiB  
Article
An Approach to Reduce Tuning Sensitivity in the PIC-Based Optoelectronic Oscillator by Controlling the Phase Shift in Its Feedback Loop
by Vladislav Ivanov, Ivan Stepanov, Grigory Voronkov, Ruslan Kutluyarov and Elizaveta Grakhova
Micromachines 2025, 16(1), 32; https://doi.org/10.3390/mi16010032 - 28 Dec 2024
Viewed by 708
Abstract
Radio photonic technologies have emerged as a promising solution for addressing microwave frequency synthesis challenges in current and future communication and sensing systems. One particularly effective approach is the optoelectronic oscillator (OEO), a simple and cost-effective electro-optical system. The OEO can generate microwave [...] Read more.
Radio photonic technologies have emerged as a promising solution for addressing microwave frequency synthesis challenges in current and future communication and sensing systems. One particularly effective approach is the optoelectronic oscillator (OEO), a simple and cost-effective electro-optical system. The OEO can generate microwave signals with low phase noise and high oscillation frequencies, often outperforming traditional electrical methods. However, a notable disadvantage of the OEO compared to conventional signal generation methods is its significant frequency tuning step. This paper presents a novel approach for continuously controlling the output frequency of an optoelectronic oscillator (OEO) based on integrated photonics. This is achieved by tuning an integrated optical delay line within a feedback loop. The analytical model developed in this study calculates the OEO’s output frequency while accounting for nonlinear errors, enabling the consideration of various control schemes. Specifically, this study examines delay lines based on the Mach–Zehnder interferometer and microring resonators, which can be controlled by either the thermo-optic or electro-optic effect. To evaluate the model, we conducted numerical simulations using Ansys Lumerical software. The OEO that utilized an MRR-based electro-optical delay line demonstrated a tuning sensitivity of 174.5 MHz/V. The calculated frequency tuning sensitivity was as low as 6.98 kHz when utilizing the precision digital-to-analog converter with a minimum output voltage step of 40 μV. The proposed approach to controlling the frequency of the OEO can be implemented using discrete optical components; however, this approach restricts the minimum frequency tuning sensitivity. It provides an additional degree of freedom for frequency tuning within the OEO’s operating range, which is ultimately limited by the amplitude-frequency characteristic of the notch filter. Thus, the proposed approach opens up new opportunities for increasing the accuracy and flexibility in generating microwave signals, which can be significant for various communications and radio engineering applications. Full article
(This article belongs to the Special Issue Silicon Photonics–CMOS Integration and Device Applications)
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Figure 1
<p>The circuit diagram of an integrated OEO supplemented with a delay line. Optical signals are displayed in green, while electrical signals are represented in blue.</p>
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<p>A potential implementation of an integrated optical delay line based on the MZI. The waveguides, where the effective refractive index varies, are indicated in red, while the control signal is depicted in blue.</p>
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<p>Microring resonator. Tuning elements are shown in red, and control signals are shown in blue.</p>
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<p>Simulation flow of time delay lines.</p>
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<p>Waveguides used in numerical models (dimensions in micrometers).</p>
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<p>Geometric parameters of a waveguide featuring a heating element (<b>a</b>) and a semiconductor diode (<b>b</b>). The shades of red indicate regions with free carriers of the p-type, while the shades of blue represent n-type regions. All dimensions are measured in µm.</p>
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<p>Relationship between the effective refractive index of the waveguide and the voltage applied to the heater.</p>
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<p>Relationship between the effective refractive index of the waveguide and the voltage applied to the anode.</p>
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<p>Transmission coefficient from a straight waveguide to a ring waveguide vs. the wavelength.</p>
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<p>Relationship between the time delay and the applied voltage for a thermo-optical MZI at sampling frequencies of 1.8 THz (<b>a</b>) and 50 THz (<b>b</b>) and for an electro-optical MZI at frequencies of 1.8 THz (<b>c</b>) and 50 THz (<b>d</b>).</p>
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<p>Coupling ratio of tunable couplers against the voltage applied to the tuning contact for thermo-optical (<b>a</b>) and electro-optical (<b>b</b>) MZIs.</p>
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<p>Introduced time delays against the voltage applied to the tuning contact for thermo-optical (<b>a</b>) and electro-optical (<b>b</b>) MZIs.</p>
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<p>Introduced time delays against the voltage applied to the tuning contact for thermo-optical (<b>a</b>) and electro-optical (<b>b</b>) MRRs. A wavelength of 1550.4 nm was used for the calculation.</p>
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<p>OEO’s output frequency against the introduced time delay (<b>a</b>) and comparison of the results obtained from analytical calculations and simulations (<b>b</b>). The green dashed line represents a section of the frequency curve within the 2π phase incursion.</p>
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<p>Temperature compensation scheme. The red line represents heating, and the blue one represents cooling.</p>
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11 pages, 3003 KiB  
Article
A Compact and Fast Resonant Cavity-Based Encoder in Photonic Crystal Platform
by Mohammad Soroosh, Faris K. AL-Shammri, Mohammad Javad Maleki, Venkatachalam Rajarajan Balaji and Ehsan Adibnia
Crystals 2025, 15(1), 24; https://doi.org/10.3390/cryst15010024 - 28 Dec 2024
Viewed by 681
Abstract
A novel 4-to-2 photonic crystal encoder is proposed by modulating the intensity of four input optical signals, and four distinct output states are achieved. Nonlinear rods are employed to couple input waves into resonant cavities, directing the light to the desired output waveguides. [...] Read more.
A novel 4-to-2 photonic crystal encoder is proposed by modulating the intensity of four input optical signals, and four distinct output states are achieved. Nonlinear rods are employed to couple input waves into resonant cavities, directing the light to the desired output waveguides. The proposed design, with a footprint of 114 µm2, demonstrates efficient encoding operation at a wavelength of 1550 nm and is highly suitable for integrated photonics applications. A comprehensive comparative analysis revealed that the proposed 4-to-2 encoder exhibits a time response 176 fs faster than previously presented encoders. Furthermore, the contrast ratio of the designed structure is as high as 13.78 dB to distinguish between logic 0 and 1. These advancements hold significant potential for enhancing the performance of compact, high-speed digital circuits. Full article
(This article belongs to the Special Issue Metamaterials and Their Devices, Second Edition)
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<p>The schematic of the proposed structure in the xz-plane including input ports I<sub>0</sub> to I<sub>3</sub> and output ports O<sub>0</sub> and O<sub>1</sub>.</p>
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<p>The band diagram of the designed structure. The structure provides two PBGs in TM mode and one PBG in TE mode. Dashed regions represent the photonic band gaps.</p>
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<p>The electric field distribution for working case (<b>a</b>) I<sub>3</sub>I<sub>2</sub>I<sub>1</sub>I<sub>0</sub> = 0001, (<b>b</b>) I<sub>3</sub>I<sub>2</sub>I<sub>1</sub>I<sub>0</sub> = 0010, (<b>c</b>) I<sub>3</sub>I<sub>2</sub>I<sub>1</sub>I<sub>0</sub> = 0100, and (<b>d</b>) I<sub>3</sub>I<sub>2</sub>I<sub>1</sub>I<sub>0</sub> = 1000.</p>
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<p>The normalized power at output ports in terms of time for different working cases (<b>a</b>) 0001, (<b>b</b>) 0010, (<b>c</b>) 0100, and (<b>d</b>) 1000.</p>
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9 pages, 2760 KiB  
Article
Bandwidth-Tunable Optical Amplifier with Narrowband Filtering Function Enabled by Parity-Time Symmetry at Exceptional Points
by Kunpeng Zhu, Xiaoyan Zhou, Yinxin Zhang, Zhanhua Huang and Lin Zhang
Photonics 2024, 11(12), 1188; https://doi.org/10.3390/photonics11121188 - 19 Dec 2024
Viewed by 609
Abstract
Integrated optical amplifiers are the building blocks of on-chip photonic systems, and they are often accompanied by a narrowband filter to limit noise. In this sense, a bandwidth-tunable optical amplifier with narrowband filtering function is crucial for on-chip optical circuits and radio frequency [...] Read more.
Integrated optical amplifiers are the building blocks of on-chip photonic systems, and they are often accompanied by a narrowband filter to limit noise. In this sense, a bandwidth-tunable optical amplifier with narrowband filtering function is crucial for on-chip optical circuits and radio frequency systems. The intrinsic loss and coupling coefficients between resonator and waveguide inherently limit the bandwidth. The parity-time symmetric coupled microresonators operating at exceptional points enable near zero bandwidth. In this study, we propose a parity-time symmetric coupled microresonators system operating near EPs to achieve a bandwidth of 46.4 MHz, significantly narrower than bandwidth of 600.0 MHz and 743.2 MHz achieved by two all-pass resonators with identical gain/loss coefficients. This system also functions as an optical bandwidth-tunable filter. The bandwidth tuning ranges from 175.7 MHz to 7.8 MHz as gain coefficient adjusts from 0.2 dB/cm to 0.4 dB/cm. Our scheme presents a unique method to obtain narrow bandwidth from two broadband resonators and serves as an optical bandwidth-tunable filter, thereby paving a new avenue for exploring non-Hermitian light manipulation in all-optical integrated devices. Full article
(This article belongs to the Special Issue Group IV Photonics: Advances and Applications)
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<p>The schematics of coupled microresonators and all-pass resonators. The red and grey represent structures with gain and loss, respectively. (<b>a</b>) Description of coupled mode theory in time for coupled microresonators. (<b>b</b>) Description of TMM for coupled microresonators. (<b>c</b>) Description of TMM for an all-pass microresonator with gain. (<b>d</b>) Description of TMM for an all-pass microresonator with loss.</p>
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<p>Transmission and phase spectra of output field of through port. (<b>a</b>) Coupled resonator system operating at an EP with a shift to PT symmetry. (<b>b</b>) An all-pass microresonator with the same gain coefficient at the EP with a shift to PT symmetry. (<b>c</b>) An all-pass microresonator with the same loss coefficient at the EP with a shift to PT symmetry.</p>
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<p>Combinations of gain and loss coefficients range from 0.001 dB/cm to 10 dB/cm are scanned to get coupling coefficients meeting the EP condition. Every point represents a parameter set of an EP. Then the parameter sets are put into all-pass resonators to get the Q-factor. (<b>a</b>) Q-factors varying gain and loss. (<b>b</b>) <span class="html-italic">κ<sub>rr</sub></span> varying gain and loss. (<b>c</b>) <span class="html-italic">κ<sub>rb</sub></span> varying gain and loss.</p>
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<p>The bandwidth-tunable optical amplifier based on coupled microresonators. (<b>a</b>) FWHM and group delay varying gain coefficient near the EP. (<b>b</b>) Transmission and group delay spectra when gain coefficient is 0.11 dB/cm. (<b>c</b>) Transmission and group delay spectra when gain coefficient is 0.2 dB/cm. (<b>d</b>) FWHM and group delay when gain coefficient ranges from 0.1 dB/cm to 0.6 dB/cm. (<b>e</b>) Transmission and group delay spectra when gain coefficient is 0.4 dB/cm; (<b>f</b>) Transmission and group delay spectra when gain coefficient is 0.5 dB/cm.</p>
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<p>Transmission and phase spectra of coupled microresonators at different gain coefficients. (<b>a</b>) Gain coefficient is 0.11 dB/cm. (<b>b</b>) Gain coefficient is 0.2 dB/cm. (<b>c</b>) Gain coefficient is 0.4 dB/cm. (<b>d</b>) Gain coefficient is 0.5 dB/cm.</p>
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11 pages, 6735 KiB  
Article
Dual-Wavelength On-Chip Integrated Metalens for Epi-Fluorescence Single-Molecule Sensing
by Elena Barulina, Dang Du Nguyen, Fedor Shuklin, Mikhail Podobrii, Sergey Novikov, Alexander Chernov, Inki Kim and Aleksandr Barulin
Sensors 2024, 24(23), 7781; https://doi.org/10.3390/s24237781 - 5 Dec 2024
Viewed by 716
Abstract
Single-molecule fluorescence spectroscopy offers unique capabilities for the low-concentration sensing and probing of molecular dynmics. However, employing such a methodology for versatile sensing and diagnostics under point-of-care demands device miniaturization to lab-on-a-chip size. In this study, we numerically design metalenses with high numerical [...] Read more.
Single-molecule fluorescence spectroscopy offers unique capabilities for the low-concentration sensing and probing of molecular dynmics. However, employing such a methodology for versatile sensing and diagnostics under point-of-care demands device miniaturization to lab-on-a-chip size. In this study, we numerically design metalenses with high numerical aperture (NA = 1.1), which are composed of silicon nitride nanostructures deposited on a waveguide and can selectively focus guided light into an aqueous solution at two wavelengths of interest in the spectral range of 500–780 nm. Despite the severe chromatic focal shift in the lateral directions owing to the wavelength-dependent propagation constant in a waveguide, segmented on-chip metalenses provide perfectly overlapping focal volumes that meet the requirements for epi-fluorescence light collection. We demonstrate that the molecule detection efficiencies of metalenses designed for the excitation and emission wavelengths of ATTO 490LS, Alexa 555, and APC-Cy7 tandem fluorophores are sufficient to collect several thousand photons per second per molecule at modest excitation rate constants. Such sensitivity provides reliable diffusion fluorescence correlation spectroscopy analysis of single molecules on a chip to extract their concentration and diffusion properties in the nanomolar range. Achromatic on-chip metalenses open new avenues for developing ultra-compact and sensitive devices for precision medicine and environmental monitoring. Full article
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<p>Single-molecule epi-fluorescence sensing by metalens on the chip. (<b>a</b>) Scheme of the epi-fluorescence sensing of diffusing single molecules. The metalens dimensions are designated as follows: metalens size (D<sub>metalens</sub>), taper length (L<sub>taper</sub>), narrow single-mode waveguide width (w<sub>1</sub>), wide waveguide width (w<sub>2</sub>), waveguide height (w<sub>h</sub>), thickness of the upper cladding layer of SOG (h<sub>SOG</sub>). The metalens focal length is approximately 7 µm, while the height and diameter of the cylindrical meta-atoms amount to 500 nm and 200 nm, respectively. The taper shape follows a relation: <math display="inline"><semantics> <mrow> <mi>y</mi> <mo>=</mo> <mi>α</mi> <mo>⋅</mo> <msup> <mrow> <mfenced separators="|"> <mrow> <mstyle scriptlevel="0" displaystyle="true"> <mfrac bevelled="true"> <mrow> <msub> <mrow> <mi>L</mi> </mrow> <mrow> <mi>t</mi> <mi>a</mi> <mi>p</mi> <mi>e</mi> <mi>r</mi> </mrow> </msub> </mrow> <mrow> <mn>2</mn> </mrow> </mfrac> </mstyle> <mo>−</mo> <mi>x</mi> </mrow> </mfenced> </mrow> <mrow> <mi>m</mi> </mrow> </msup> <mo>+</mo> <mstyle scriptlevel="0" displaystyle="true"> <mfrac bevelled="true"> <mrow> <msub> <mrow> <mi>w</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msub> </mrow> <mrow> <mn>2</mn> </mrow> </mfrac> </mstyle> <mo>,</mo> </mrow> </semantics></math> where <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mstyle scriptlevel="0" displaystyle="true"> <mfrac bevelled="true"> <mrow> <msub> <mrow> <mi>w</mi> </mrow> <mrow> <mn>1</mn> </mrow> </msub> <mo>−</mo> <msub> <mrow> <mi>w</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msub> </mrow> <mrow> <mn>2</mn> <msubsup> <mrow> <mi>L</mi> </mrow> <mrow> <mi>t</mi> <mi>a</mi> <mi>p</mi> <mi>e</mi> <mi>r</mi> </mrow> <mrow> <mi>m</mi> </mrow> </msubsup> </mrow> </mfrac> </mstyle> </mrow> </semantics></math>, with <span class="html-italic">m</span> being 1.15 and <span class="html-italic">x</span> belonging to the range from −<span class="html-italic">L<sub>taper</sub></span>/2 to <span class="html-italic">L<sub>taper</sub></span>/2. (<b>b</b>) The meta-atom position produces a phase map focusing on two wavelengths. The phase profiles of the metalenses are represented along the propagation direction of light in the waveguide. (<b>c</b>) Segmentation of the metalens into two zones to generate foci at two wavelengths. (<b>d</b>) Coupling strength of modes of meta-atom and waveguide in a broad wavelength range. (<b>e</b>) Near-field transmission of the meta-atoms. The white line corresponds to the meta-atom height selected for designing integrated metalenses.</p>
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<p>Focal point overlap comparison of the dual-wavelength and chromatic metalenses on the waveguide. (<b>a</b>) Point spread function (PSF) of segmented metalens for ATTO 490LS fluorescence detection at 500 and 660 nm. (<b>b</b>) PSF of single-wavelength metalens at 500 and 660 nm. (<b>c</b>) PSF of segmented metalens for Alexa 555 fluorescence detection at 520 and 570 nm. (<b>d</b>) PSF of single-wavelength metalens at 520 and 570 nm. (<b>e</b>) PSF of segmented metalens for APC-Cy7 fluorescence detection at 650 and 780 nm. (<b>f</b>) PSF of single-wavelength metalens at 650 and 780 nm. The color bars depict optical field intensity.</p>
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<p>Lateral PSF and linear intensity profiles of dual-wavelength metalenses on the chip. (<b>a</b>) Lateral PSF of metalens for ATTO 490LS fluorescence detection at 500 and 660 nm. (<b>b</b>) Horizontal cut of the images in (<b>a</b>). (<b>c</b>) Axial intensity profiles of the metalens for ATTO 490LS fluorescence detection at 500 and 660 nm. (<b>d</b>) Lateral PSF of metalens for Alexa 555 fluorescence detection at 520 and 570 nm. (<b>e</b>) Horizontal cut of the images in (<b>d</b>). (<b>f</b>) Axial intensity profiles of the metalens for Alexa 555 fluorescence detection at 520 and 570 nm. (<b>g</b>) Lateral PSF of metalens for APC-Cy7 fluorescence detection at 650 and 780 nm. (<b>h</b>) Horizontal cutoff of the images in (<b>g</b>). (<b>i</b>) Axial intensity profiles of the metalens for APC-Cy7 fluorescence detection at 650 and 780 nm.</p>
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<p>Molecule detection efficiency under epi-fluorescence configuration. Absorbance and fluorescence spectra of (<b>a</b>) ATTO 490 LS, (<b>b</b>) Alexa 555, and (<b>c</b>) APC-Cy7. The spectral data are adopted from [<a href="#B40-sensors-24-07781" class="html-bibr">40</a>]. The solid line spectra denote absorbance, whereas the dashed line spectra refer to emission. In addition, the solid lines denote the design excitation wavelength, and the shading indicates the simulated collection band by the metalens. The spectra-computed molecule detection efficiency with dual-wavelength metalenses designed for (<b>d</b>) ATTO 490 LS, (<b>e</b>) Alexa 555, and (<b>f</b>) APC-Cy7.</p>
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<p>Metalens-based diffusion autocorrelation functions for molecules of interest. Simulated FCS data with fitting curves are represented for (<b>a</b>) ATTO 490 LS, (<b>b</b>) Alexa 555, and (<b>c</b>) APC-Cy7. The fit functions correspond to a 3D diffusion FCS model.</p>
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12 pages, 3361 KiB  
Article
Ultra-Low Loss and Ultra-Compact Polarization-Insensitive SOI Multimode Waveguide Crossing Based on an Inverse Design Method
by Lu Wang, Hongquan Zhou, Hao Shi, Chengqiang Zhao, Chuanqi Ma, Yanqing Wu and Renzhong Tai
Photonics 2024, 11(12), 1137; https://doi.org/10.3390/photonics11121137 - 3 Dec 2024
Viewed by 845
Abstract
Polarization-insensitive waveguide crossings are indispensable components of photonic integrated circuits (PICs), enabling the concurrent computing of optical signals from diverse waveguides inside the limits of a restricted spatial footprint. Leveraging mirror symmetry direct binary search, we successfully demonstrate an ultra-compact and ultra-low loss [...] Read more.
Polarization-insensitive waveguide crossings are indispensable components of photonic integrated circuits (PICs), enabling the concurrent computing of optical signals from diverse waveguides inside the limits of a restricted spatial footprint. Leveraging mirror symmetry direct binary search, we successfully demonstrate an ultra-compact and ultra-low loss polarization-insensitive waveguide crossing that achieves insertion losses below −0.11 dB and crosstalk levels beneath −22.6 dB for transverse electric (TE) mode, as well as insertion losses below 0.05 dB and crosstalk levels beneath −24.5 dB for transverse magnetic (TM) mode across the C-band with a footprint of 3 × 4 μm2. The results confirm that this mirror symmetry optimization method yields high-efficiency devices while reducing computational time. We believe this high-efficiency polarization-insensitive waveguide crossing can have potential applications in dense PIC systems. Full article
(This article belongs to the Special Issue Progress in Integrated Photonics and Future Prospects)
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<p>(<b>a</b>) Calculated effective index of the fundamental modes as a function of waveguide width. (<b>b</b>) The basic TE mode profile at a waveguide width of 500 nm. (<b>c</b>) The basic TM mode profile at a waveguide width of 500 nm.</p>
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<p>Schematic diagram of the structure of a 2 × 2 waveguide crossing.</p>
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<p>(<b>a</b>) The design area optimization process and (<b>b</b>) the inverse design algorithm optimization process.</p>
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<p>(<b>a</b>) The change in the TE mode and TM mode transmission through the iteration of the mirror—symmetric DBS optimization; (<b>b</b>) The change in the TE mode and TM mode transmission through the iteration of the non-symmetric DBS optimization.</p>
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<p>The refractive index distribution of the designed waveguide crossing device.</p>
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<p>(<b>a</b>) The electromagnetic field distribution of TM mode at a wavelength of 1550 nm; (<b>b</b>) The electromagnetic field configuration of TE mode at a wavelength of 1550 nm.</p>
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<p>(<b>a</b>) The insertion loss and crosstalk simulation results of TM mode of the proposed polarization—insensitive waveguide crossing; (<b>b</b>) The insertion loss and crosstalk simulation results of TE mode of the proposed polarization—insensitive waveguide crossing.</p>
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<p>Visualization of fabrication imperfections on the waveguide crossing pattern. (<b>a</b>) The ideal pattern layout. (<b>b</b>) Illustration of a contraction of 2 nm or 5 nm, where the silicon regions (in red) are slightly reduced. (<b>c</b>) Illustration of an expansion of 2 nm or 5 nm, where the silicon regions (in red) are slightly increased.</p>
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<p>Fabrication error analysis in the silicon polarization−insensitive waveguide crossing for the (<b>a</b>) TM and (<b>b</b>) TE modes.</p>
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13 pages, 1729 KiB  
Article
Reducing Avalanche Build-Up Time by Integrating a Single-Photon Avalanche Diode with a BiCMOS Gating Circuit
by Bernhard Goll, Mehran Saadi Nejad, Kerstin Schneider-Hornstein and Horst Zimmermann
Sensors 2024, 24(23), 7598; https://doi.org/10.3390/s24237598 - 28 Nov 2024
Viewed by 439
Abstract
It is shown that the integration of a single-photon avalanche diode (SPAD) together with a BiCMOS gating circuit on one chip reduces the parasitic capacitance a lot and therefore reduces the avalanche build-up time. The capacitance of two bondpads, which are necessary for [...] Read more.
It is shown that the integration of a single-photon avalanche diode (SPAD) together with a BiCMOS gating circuit on one chip reduces the parasitic capacitance a lot and therefore reduces the avalanche build-up time. The capacitance of two bondpads, which are necessary for the connection of an SPAD chip and a gating chip, are eliminated by the integration. The gating voltage transients of the SPAD are measured using an integrated mini-pad and a picoprobe. Furthermore, the gating voltage transients of a CMOS gating circuit and of the BiCMOS gating circuit are compared for the same integrated SPAD. The extension of the 0.35 μm CMOS process by an NPN transistor process module enabled the BiCMOS gating circuit. The avalanche build-up time of the SPAD is reduced to 1.6 ns due to the integration compared to about 3 ns for a wire-bonded off-chip SPAD using the same n+ and p-well as well as the same 0.35 μm technology. Full article
(This article belongs to the Special Issue Advanced CMOS Integrated Circuit Design and Application III)
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<p>Circuit diagram of BiCMOS receiver with integrated SPAD.</p>
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<p>Circuit diagram of CMOS gating circuit.</p>
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<p>Post-layout simulated transients of 6.6 V gating pulses.</p>
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<p>Chip photo of BiCMOS SPAD receiver.</p>
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<p>Schematic cross section of integrated SPAD.</p>
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<p>Measured cathode voltage transient at 500 MHz.</p>
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<p>Measured and overlaid self-discharging transients from dark counts.</p>
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<p>Transients of measured voltage at the CAT node (<b>blue</b>) and derived avalanche current (<b>red</b>) by dependence on time.</p>
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<p>Peak current during avalanche of SPAD vs. substrate voltage.</p>
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<p>Time of occurrence of the avalanche current maximum of the SPAD vs. substrate voltage.</p>
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<p>Extracted mean fall times and their standard deviations over substrate voltage.</p>
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10 pages, 3262 KiB  
Article
High-Tolerance Grating Couplers for Vertical Backside Coupling
by Jui-Hung Chen, Arthur D. Bouamra, Chia-Ling Wu, Andrea Fiore and Shuo-Yen Tseng
Appl. Sci. 2024, 14(23), 11015; https://doi.org/10.3390/app142311015 - 27 Nov 2024
Viewed by 827
Abstract
To facilitate convenient packaging of photonic integrated circuits on a fiber tip, a silicon grating coupler designed for vertical backside coupling has been developed. In order to comply with foundry capabilities and streamline the fabrication processes, the grating coupler features a minimum feature [...] Read more.
To facilitate convenient packaging of photonic integrated circuits on a fiber tip, a silicon grating coupler designed for vertical backside coupling has been developed. In order to comply with foundry capabilities and streamline the fabrication processes, the grating coupler features a minimum feature size larger than 200 nm and a single-etched structure on silicon. By inverse design-based optimization, the vertical backside grating coupler achieves a coupling efficiency of nearly 40% (−3.97 dB), while showcasing high fabrication and misalignment tolerance. Full article
(This article belongs to the Special Issue Advanced Research in Optical Waveguides)
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<p>A 3D example sketch of a mechanically transferred PIC on the facet of a multicore fiber. Vertical backside GCs are used for -in and -out coupling of the light.</p>
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<p>Side view of the 2D GC coupled perfectly vertically from the backside.</p>
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<p>Scheme of the transferred PIC including the two GCs, on top of a four-core fiber-tip.</p>
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<p>(<b>a</b>) A 2D simulated electric field profile within the GC, for a fiber-to-chip coupling from the backside. (<b>b</b>) Transmission spectra for each direction of the diffracted light from the GC, (which can be interpreted as diffraction efficiency).</p>
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<p>(<b>a</b>) Sketch of the 3D-focusing GC structure. (<b>b</b>) The top-view E-field profile of a 3D-focusing GC from the 3D-FDTD simulation. (<b>c</b>) Directionality of transmission in the 3D-focusing GC.</p>
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<p>(<b>a</b>) Schematic representation of fabrication error parameters considered in the analysis. (<b>b</b>) Fabrication tolerance to etching depth deviations (Δd). (<b>c</b>) Width deviation tolerance of each sub-grating in the focusing GC (ΔP1~ΔP4). (<b>d</b>) CE vs grating period size deviations. All figures are generated for an incident light at 1550 nm.</p>
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<p>(<b>a</b>) Fiber core misalignment tolerance with the designed GC. (<b>b</b>) Impact on the CE of angular misalignment between fiber’s core and GC.</p>
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16 pages, 4014 KiB  
Article
Radio Front-End for Frequency Agile Microwave Photonic Radars
by Aljaž Blatnik, Luka Zmrzlak and Boštjan Batagelj
Electronics 2024, 13(23), 4662; https://doi.org/10.3390/electronics13234662 - 26 Nov 2024
Viewed by 968
Abstract
Recent advancements in photonic integrated circuits (PICs) have paved the way for a new era of frequency-agile coherent radar systems. Unlike traditional all-electronic RF radar techniques, fully photonic systems offer superior performance, overcoming bandwidth limitations and noise degradation when operating across S (2–4 [...] Read more.
Recent advancements in photonic integrated circuits (PICs) have paved the way for a new era of frequency-agile coherent radar systems. Unlike traditional all-electronic RF radar techniques, fully photonic systems offer superior performance, overcoming bandwidth limitations and noise degradation when operating across S (2–4 GHz), X (8–12 GHz), and K-band (12–40 GHz) frequencies. They also exhibit excellent phase noise performance, even at frequencies exceeding 20 GHz. However, current state-of-the-art PICs still suffer from high processing losses in the optical domain, necessitating careful design of the electrical RF domain. This study delves into the critical challenges of designing RF front-ends for microwave photonic radars, including stability, noise minimization, and intermodulation distortion reduction. To demonstrate the feasibility of the proposed design, a functional prototype is constructed, achieving a total power gain of 107 dB (radar system at 10 GHz) while minimizing signal noise degradation. Furthermore, a comprehensive demonstration of the RF front-end, encompassing both optical RF signal generation and experimental measurements of a rotor blade’s Doppler fingerprint with 0.5 Hz resolution, validates the proposed system’s performance. Full article
(This article belongs to the Special Issue Radar System and Radar Signal Processing)
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<p>(<b>a</b>) The optical and electrical domains in signal production in a simplified dual-band radar configuration [<a href="#B15-electronics-13-04662" class="html-bibr">15</a>]; DDS: Direct digital synthesis, MLL: Mode-locked laser, ADC: Analog-to-digital converter, MZM: Mach–Zehnder modulator. (<b>b</b>) Signal generation in different stages: (A)—MLL spectrum, (B)—modulated optical spectrum, (C)—PD output RF spectrum.</p>
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<p>Radar and lidar architecture on a single integrated photonic circuit; DAC: Digital-to-analog converter, TX: Transmitter, RX: Receiver, ADC: Analog-to-digital converter.</p>
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<p>Schematic diagram of the output and input RF chains. The values indicated on the transmitting and receiving stages represent worst-case scenarios. The transmitter power is set to enable measurements within a range of several hundred meters, adhering to ISM band limitations. The receiver power is the maximum input power that the amplifier chain can tolerate without incurring significant intermodulation distortion, which would degrade radar measurement performance.</p>
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<p>Experimental setup for generating stable X-band RF signals using optical heterodyne mixing.</p>
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<p>Schematic diagram of the RF front-end architecture.</p>
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<p>(<b>a</b>) S-parameters of a transmitter amplifier chain; (<b>b</b>) S-parameters of the directional couples; (<b>c</b>) S-parameters of the circulator; (<b>d</b>) 1-dB compression point of output amplifiers.</p>
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<p>Experimental setup for RF front-end evaluation.</p>
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<p>Antenna visualization: (<b>a</b>) simulated model; (<b>b</b>) experimental prototype.</p>
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<p>Schematic of a half-patch antenna group, with dimensions in millimeters.</p>
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<p>Comparison of simulated and measured antenna reflection coefficient (S11 parameter).</p>
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<p>Comparison of simulated and measured radiation patterns. (<b>a</b>) Horizontal plane, Directivity: 18.18 dBi; (<b>b</b>) Vertical plane, Directivity: 8.71 dBi.</p>
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<p>(<b>a</b>) Servo motor with a rectangular rotor blade attached to its shaft, serving as a known radar cross-section target. (<b>b</b>) Frequency domain reflection of the target at a constant speed of 26 revolutions per second.</p>
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<p>(<b>a</b>) FFT waterfall illustrating the response as rotor speed increases; (<b>b</b>) A detailed view of the primary frequency response used for UAV classification.</p>
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<p>RF front-end amplifier block diagram. The complex impedance is denoted in the figure by <math display="inline"><semantics> <mrow> <msub> <mi>Z</mi> <mi>x</mi> </msub> </mrow> </semantics></math> (<a href="#electronics-13-04662-t0A1" class="html-table">Table A1</a>).</p>
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<p>(<b>a</b>) Manufactured circuit board without enclosure. (<b>b</b>) PCB layout.</p>
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7 pages, 557 KiB  
Proceeding Paper
Generation of Entangled Photon Pairs from High-Quality-Factor Silicon Microring Resonator at Near-Zero Anomalous Dispersion
by Muneeb Farooq, Francisco Soares and Francisco Diaz
Phys. Sci. Forum 2024, 10(1), 2; https://doi.org/10.3390/psf2024010002 - 21 Nov 2024
Viewed by 307
Abstract
The intrinsic third-order nonlinearity in silicon has proven it to be quite useful in the field of quantum optics. Silicon is suitable for producing time-correlated photon pairs that are sources of heralded single-photon states for quantum integrated circuits. A quantum signal source in [...] Read more.
The intrinsic third-order nonlinearity in silicon has proven it to be quite useful in the field of quantum optics. Silicon is suitable for producing time-correlated photon pairs that are sources of heralded single-photon states for quantum integrated circuits. A quantum signal source in the form of single photons is an inherent requirement for the principles of quantum key distribution technology for secure communications. Here, we present numerical simulations of a silicon ring with a 6 μ m radius side-coupled with a bus waveguide as the source for the generation of single photons. The photon pairs are generated by exploring the process of degenerate spontaneous four-wave mixing (SFWM). The free spectral range (FSR) of the ring is quite large, simplifying the extraction of the signal/idler pairs. The phase-matching condition is considered by studying relevant parameters like the dispersion and nonlinearity. We optimize the ring for a high quality factor by varying the gap between the bus and the ring waveguide. This is the smallest ring studied for photon pair generation with a quality factor in the order of 10 5 . The width of the waveguides is chosen such that the phase-matching condition is satisfied, allowing for the propagation of fundamental modes only. The bus waveguide is pumped at one of the ring resonances with the minimum dispersion (1543.5 nm in our case) to satisfy the principle of energy conservation. The photon pair generation rate achieved is comparable to the state of the art. The photon pair sources exploiting nonlinear frequency conversion/generation processes is a promising alternative to atom-like single-photon emitters in the field of integrated photonics. Such miniaturized structures will benefit future on-chip architectures where multiple single-photon source devices are required on the same chip. Full article
(This article belongs to the Proceedings of The 1st International Online Conference on Photonics)
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<p>Mode characteristics: (<b>a</b>) Silicon ring and bus percolated inside silicon dioxide cladding (cross-section). <math display="inline"><semantics> <mrow> <mi>H</mi> <mo>=</mo> <mn>0.5</mn> <mspace width="3.33333pt"/> <mi mathvariant="sans-serif">μ</mi> </mrow> </semantics></math>m. (<b>b</b>) Optical mode profile (magnitude) for a transverse electric (TE) mode in a typical single-mode bent SOI waveguide. The waveguide cross-section is <math display="inline"><semantics> <mrow> <mi>h</mi> <mo>=</mo> <mn>220</mn> </mrow> </semantics></math> nm thick and <math display="inline"><semantics> <mrow> <mi>w</mi> <mo>=</mo> <mn>405</mn> </mrow> </semantics></math> nm wide, with a bent radius <math display="inline"><semantics> <mrow> <mi>r</mi> <mo>=</mo> <mn>6</mn> <mspace width="3.33333pt"/> <mi mathvariant="sans-serif">μ</mi> </mrow> </semantics></math>m.</p>
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<p>Ring characteristics: (<b>a</b>) Variation in dispersion for ring cross-section with different waveguide widths. (<b>b</b>) Transmission spectrum at <math display="inline"><semantics> <mrow> <mi>w</mi> <mo>=</mo> <mn>405</mn> </mrow> </semantics></math> nm and gap of 270 nm.</p>
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<p>Nonlinear response: (<b>a</b>) Normalized power spectrum from the varFDTD analysis showing the emergence of idler/converted. (<b>b</b>) Variation in <math display="inline"><semantics> <mi mathvariant="script">R</mi> </semantics></math> with pump power (logarithmic scale).</p>
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11 pages, 9793 KiB  
Article
High-Extinction Photonic Filters by Cascaded Mach–Zehnder Interferometer-Coupled Resonators
by Hao-Zhong Chen, Kung-Lin Ho and Pei-Hsun Wang
Photonics 2024, 11(11), 1055; https://doi.org/10.3390/photonics11111055 - 10 Nov 2024
Viewed by 1521
Abstract
In this study, we demonstrate high-extinction stop-band photonic filters based on Mach–Zehnder interferometer (MZI)-coupled silicon nitride (Si3N4) resonators fabricated using I-line lithography technology. Leveraging the low-loss silicon nitride waveguide, our approach enables the creation of stable, high-performance filters suitable [...] Read more.
In this study, we demonstrate high-extinction stop-band photonic filters based on Mach–Zehnder interferometer (MZI)-coupled silicon nitride (Si3N4) resonators fabricated using I-line lithography technology. Leveraging the low-loss silicon nitride waveguide, our approach enables the creation of stable, high-performance filters suitable for applications in quantum and nonlinear photonics. With destructive interference at the feedback loop, photonic filters with an extinction ratio of 35 dB are demonstrated with four cascaded MZI-coupled resonators. This cascading design not only enhances the filter’s extinction but also improves its spectral sharpness, providing a more selective stop-band profile. Experimental results agree well with the theoretical results, showing linear scaling of extinction ratios with the number of cascaded MZI-coupled resonators. The scalability of this architecture opens the possibility for further integration and optimization in complex photonic circuits, where high extinction ratios and precise wavelength selectivity are critical for advanced signal processing and quantum information applications. Full article
(This article belongs to the Special Issue Silicon Photonics Devices and Integrated Circuits)
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<p>Schematic diagram of MZI-coupled resonator structure.</p>
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<p>(<b>a</b>) Simulation modal of the Si<sub>3</sub>N<sub>4</sub> waveguides; (<b>b</b>) simulated mode profiles of TE modes with the waveguide width of 1 μm and 3 μm, respectively.</p>
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<p>Exemplary schematics of (<b>a</b>) single-ring and (<b>b</b>) 4-cascaded MZI-coupled resonators.</p>
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<p>Simulated transmission spectra of (<b>a</b>) single-ring and (<b>b</b>) 2-, (<b>c</b>) 3-, and (<b>d</b>) 4-cascaded MZI-coupled resonators. (<b>e</b>) The zoom-in spectrum of a resonance in (<b>d</b>).</p>
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<p>Simulated transmission spectrum of a single-ring MZI-coupled resonator.</p>
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<p>Simulated transmission spectra of a single-ring MZI-coupled resonator by tuning the parameters of the feedback loop with (<b>a</b>) effective index = 1.68 and (<b>b</b>) feedback length = 2πR.</p>
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<p>The fabrication process of cascaded MZI-coupled resonators.</p>
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<p>Layout designs of (<b>a</b>) single-ring and (<b>b</b>) 4-cascaded MZI-coupled resonators.</p>
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<p>OM images of (<b>a</b>) single-ring and (<b>b</b>) 4-cascaded MZI-coupled resonators.</p>
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<p>Experimental setup for optical characterization.</p>
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<p>(<b>a</b>) OM image of the single-ring resonator; (<b>b</b>) measured transmission spectra of the single-ring resonator; (<b>c</b>) zoomed-in spectrum and fitted curve.</p>
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<p>Transmission spectra and zoomed-in spectra of (<b>a</b>) single-ring and (<b>b</b>) 4-cascaded MZI-coupled resonators.</p>
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<p>Simulated transmission and the zoomed-in spectra of 4-cascaded MZI resonators with difference effective indices.</p>
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14 pages, 4021 KiB  
Article
Analysis of SiNx Waveguide-Integrated Liquid Crystal Platform for Wideband Optical Phase Shifters and Modulators
by Pawaphat Jaturaphagorn, Nattaporn Chattham, Worawat Traiwattanapong and Papichaya Chaisakul
Appl. Sci. 2024, 14(22), 10319; https://doi.org/10.3390/app142210319 - 9 Nov 2024
Viewed by 1212
Abstract
In this study, the potential of employing SiNx (silicon nitride) waveguide platforms to enable the use of liquid-crystal-based phase shifters for on-chip optical modulators was thoroughly investigated using 3D-FDTD (3D finite-difference time-domain) simulations. The entire structure of liquid-crystal-based Mach–Zehnder interferometer (MZI) optical [...] Read more.
In this study, the potential of employing SiNx (silicon nitride) waveguide platforms to enable the use of liquid-crystal-based phase shifters for on-chip optical modulators was thoroughly investigated using 3D-FDTD (3D finite-difference time-domain) simulations. The entire structure of liquid-crystal-based Mach–Zehnder interferometer (MZI) optical modulators, consisting of multi-mode interferometer splitters, different tapering sections, and liquid-crystal-based phase shifters, was systematically and holistically investigated with a view to developing a compact, wideband, and CMOS-compatible (complementary metal-oxide semiconductor) bias voltage optical modulator with competitive modulation efficiency, good fabrication tolerance, and single-mode operation using the same SiNx waveguide layer for the entire device. The trade-off between several important parameters is critically discussed in order to reach a conclusion on the possible optimized parameter sets. Contrary to previous demonstrations, this investigation focused on the potential of achieving such an optical device using the same SiNx waveguide layer for the entire device, including both the passive and active regions. Significantly, we show that it is necessary to carefully select the phase shifter length of the LC-based (liquid crystal) MZI optical modulator, as the phase shifter length required to obtain a π phase shift could be as low as a few tens of microns; therefore, a phase shifter length that is too long can contradictorily worsen the optical modulation. Full article
(This article belongs to the Section Optics and Lasers)
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<p>First half of a Mach–Zehnder interferometer (MZI) optical modulator consisting of a liquid-crystal-based phase shifter integrated on a SiN<sub>x</sub> waveguide, a multi-mode interferometer (MMI) for a compact optical modulator, and a linear tapering of the liquid crystal (LC) section. In total, 11 parameters are holistically investigated to achieve a competitive LC-based MZI optical modulator with good modulation efficiency over the C-band optical wavelength region. The output part of the MZI is a mirror copy of the first half in order to combine the two arms of the MZI back into a single output waveguide. Contrary to Ref. [<a href="#B9-applsci-14-10319" class="html-bibr">9</a>], our investigation focuses on using the same SiN<sub>x</sub> waveguide layer for the entire device.</p>
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<p>(<b>a</b>) A cross-sectional schematic view of the liquid-crystal-based phase shifter section comprising the liquid-crystal-filled trench and SiN<sub>x</sub> waveguide. To thoroughly investigate the structure, the SiN<sub>x</sub> waveguide width (<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>W</mi> </mrow> <mrow> <mi>S</mi> <mi>i</mi> <mi>N</mi> <mi>x</mi> </mrow> </msub> </mrow> </semantics></math>), SiN<sub>x</sub> waveguide thickness (<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>H</mi> </mrow> <mrow> <mi>S</mi> <mi>i</mi> <mi>N</mi> <mi>x</mi> </mrow> </msub> </mrow> </semantics></math>), liquid-crystal-filled trench width (<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>W</mi> </mrow> <mrow> <mi>L</mi> <mi>C</mi> </mrow> </msub> </mrow> </semantics></math>), liquid-crystal-filled trench height (<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>H</mi> </mrow> <mrow> <mi>L</mi> <mi>C</mi> </mrow> </msub> </mrow> </semantics></math>), vertical gap between the liquid-crystal-filled trench and SiN<sub>x</sub> (<math display="inline"><semantics> <mrow> <mi>D</mi> </mrow> </semantics></math>), SiN<sub>x</sub> refractive index (<math display="inline"><semantics> <mrow> <mi>n</mi> </mrow> </semantics></math>), and optical wavelength (λ) in the C-band region are studied, allowing for an understanding of the potential and limitations of the phase-shifting performance at a given shifter length to be obtained. The optical guided fundamental quasi-TE mode in the liquid-crystal-based phase shifter when the liquid crystal molecules are aligned (<b>b</b>) perpendicular (90°) and (<b>c</b>) parallel (0°) to the SiN<sub>x</sub> waveguide propagation direction.</p>
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<p>Phase-shifting performance of the liquid-crystal-based phase shifter integrated on a SiN<sub>x</sub> waveguide structure with respect to (<b>a</b>) SiN<sub>x</sub> waveguide width, (<b>b</b>) SiN<sub>x</sub> waveguide thickness, (<b>c</b>) liquid-crystal-filled trench width, (<b>d</b>) liquid-crystal-filled trench height, (<b>e</b>) SiO<sub>2</sub> vertical gap between the liquid-crystal-filled trench and SiN<sub>x</sub>, (<b>f</b>) SiN<sub>x</sub> refractive index, and (<b>g</b>) optical wavelength in the C-band region.</p>
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<p>(<b>a</b>) Intensity profile of the optical propagation inside the 200 nm thick SiN<sub>x</sub> MMI (the same thickness value obtained in <a href="#applsci-14-10319-f003" class="html-fig">Figure 3</a>b) at an optical wavelength of 1.55 µm. The MMI can maintain a high optical power transmission of around 98% (~0.09 dB optical loss) over the entire C-band wavelength range. (<b>b</b>) Optical power transmission from a 3 µm wide SiN<sub>x</sub> waveguide at the MMI outputs to a narrower SiN<sub>x</sub> waveguide necessary at the phase shifter section at different linear SiN<sub>x</sub> taper length (<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>L</mi> </mrow> <mrow> <mi>t</mi> <mi>a</mi> <mi>p</mi> <mi>e</mi> <mi>r</mi> <mo>,</mo> <mo> </mo> <mi>S</mi> <mi>i</mi> <mi>N</mi> <mi>x</mi> </mrow> </msub> </mrow> </semantics></math>) values. To obtain ~100% optical power transmission together with a relatively compact taper (<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>L</mi> </mrow> <mrow> <mi>t</mi> <mi>a</mi> <mi>p</mi> <mi>e</mi> <mi>r</mi> <mo>,</mo> <mo> </mo> <mi>S</mi> <mi>i</mi> <mi>N</mi> <mi>x</mi> </mrow> </msub> </mrow> </semantics></math> ≤ 50 µm), the value of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>W</mi> </mrow> <mrow> <mi>S</mi> <mi>i</mi> <mi>N</mi> <mi>x</mi> </mrow> </msub> </mrow> </semantics></math> cannot be lower than 900 nm (light blue upward-pointing triangle).</p>
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<p>The optical power transmission efficiency from the SiN<sub>x</sub> waveguide to the LC-based phase shifter structure at different LC-filled trench taper length (<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>L</mi> </mrow> <mrow> <mi>t</mi> <mi>a</mi> <mi>p</mi> <mi>e</mi> <mi>r</mi> <mo>,</mo> <mi>L</mi> <mi>C</mi> </mrow> </msub> </mrow> </semantics></math>) values and a taper tip width (<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>t</mi> </mrow> <mrow> <mi>L</mi> <mi>C</mi> </mrow> </msub> </mrow> </semantics></math>) of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>t</mi> </mrow> <mrow> <mi>L</mi> <mi>C</mi> </mrow> </msub> </mrow> </semantics></math> = (<b>a</b>) 50 nm, (<b>b</b>) 100 nm, (<b>c</b>) 200 nm, and (<b>d</b>) 300 nm. According to the inset of <a href="#applsci-14-10319-f005" class="html-fig">Figure 5</a>b, an additional optical loss of &lt;0.5 dB can be maintained as long as the length of the air void does not exceed 5 µm.</p>
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<p>(<b>a</b>) A cross-sectional schematic view of the investigated liquid-crystal-based phase shifter section (from <a href="#applsci-14-10319-f002" class="html-fig">Figure 2</a>a) between the two aluminum (Al) contacts with a distance <math display="inline"><semantics> <mrow> <mi>S</mi> </mrow> </semantics></math> between the Al contact and the trench. (<b>b</b>) The minimum electric field obtained in the LC-filled trench region with different reverse bias voltage values. (<b>c</b>) An electric field can be effectively and uniformly applied across the LC-filled trench region with 1 V (<math display="inline"><semantics> <mrow> <mi>S</mi> </mrow> </semantics></math> = 0.5 µm). (<b>d</b>) Projected modulation efficiency, <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>V</mi> </mrow> <mrow> <mi>π</mi> </mrow> </msub> <msub> <mrow> <mi>L</mi> </mrow> <mrow> <mi>π</mi> </mrow> </msub> </mrow> </semantics></math>, of the modulator over the entire C-band optical wavelength range.</p>
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<p>FDTD simulation of the entire structure from the SiN<sub>x</sub> input to the SiN<sub>x</sub> output waveguide, including two MMIs, the linear tapering of the LC section, and the two arms of the LC-based phase shifter for (<b>a</b>) ON-mode and (<b>b</b>) OFF-mode operations at an optical wavelength of 1.55 µm. (<b>c</b>) ER and IL of the LC-based MZI optical modulators with LC section lengths (<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>L</mi> </mrow> <mrow> <mi>L</mi> <mi>C</mi> </mrow> </msub> </mrow> </semantics></math>) of 30 and 50 µm at different wavelength values over the C-band region. Significantly, a longer phase shifter length (50 µm) can contradictorily worsen the ER value, as the phase shifter length required to obtain a π phase shift could be as low as a few tens of microns; therefore, it is necessary to carefully select the phase shifter length of the LC-based MZI optical modulator.</p>
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11 pages, 607 KiB  
Article
Vertical Electric-Field-Induced Switching from Strong to Asymmetric Strong–Weak Confinement in GaAs Cone-Shell Quantum Dots Using Transparent Al-Doped ZnO Gates
by Ahmed Alshaikh, Jun Peng, Robert Zierold, Robert H. Blick and Christian Heyn
Nanomaterials 2024, 14(21), 1712; https://doi.org/10.3390/nano14211712 - 27 Oct 2024
Viewed by 720
Abstract
The first part of this work evaluates Al-doped ZnO (AZO) as an optically transparent top-gate material for studies on semiconductor quantum dots. In comparison with conventional Ti gates, samples with AZO gates demonstrate a more than three times higher intensity in the quantum [...] Read more.
The first part of this work evaluates Al-doped ZnO (AZO) as an optically transparent top-gate material for studies on semiconductor quantum dots. In comparison with conventional Ti gates, samples with AZO gates demonstrate a more than three times higher intensity in the quantum dot emission under comparable excitation conditions. On the other hand, charges inside a process-induced oxide layer at the interface to the semiconductor cause artifacts at gate voltages above U 1 V. The second part describes an optical and simulation study of a vertical electric-field (F)-induced switching from a strong to an asymmetric strong–weak confinement in GaAs cone-shell quantum dots (CSQDs), where the charge carrier probability densities are localized on the surface of a cone. These experiments are performed at low U and show no indications of an influence of interface charges. For a large F, the measured radiative lifetimes are substantially shorter compared with simulation results. We attribute this discrepancy to an F-induced transformation of the shape of the hole probability density. In detail, an increasing F pushes the hole into the wing part of a CSQD, where it forms a quantum ring. Accordingly, the confinement of the hole is changed from strong, which is assumed in the simulations, to weak, where the local radius is larger than the bulk exciton Bohr radius. In contrast to the hole, an increasing F pushes the electron into the CSQD tip, where it remains in a strong confinement. This means the radiative lifetime for large F is given by an asymmetric confinement with a strongly confined electron and a hole in a weak confinement. To our knowledge, this asymmetric strong–weak confinement represents a novel kind of quantum mechanical confinement and has not been observed so far. Furthermore, the observed weak confinement for the hole represents a confirmation of the theoretically predicted transformation of the hole probability density from a quantum dot into a quantum ring. For such quantum rings, application as storage for photo-excited charge carriers is predicted, which can be interesting for future quantum photonic integrated circuits. Full article
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Figure 1

Figure 1
<p>(<b>a</b>) Cross-sectional scheme of a rotationally symmetric CSQD with characteristic lengths <math display="inline"><semantics> <msub> <mi>r</mi> <mrow> <mi>Q</mi> <mi>D</mi> </mrow> </msub> </semantics></math>, <math display="inline"><semantics> <msub> <mi>d</mi> <mrow> <mi>Q</mi> <mi>D</mi> </mrow> </msub> </semantics></math>, and <math display="inline"><semantics> <msub> <mi>h</mi> <mrow> <mi>Q</mi> <mi>D</mi> </mrow> </msub> </semantics></math>. (<b>b</b>) Measured current density between top and back gate as function of the gate voltage <span class="html-italic">U</span>. The respective top-gate material (AZO or Ti) and the usage of a HCl dip are indicated. The inset shows a cross-sectional scheme of the geometry with the metallic top gate and the epitaxial n<sup>++</sup>-doped back gate. (<b>c</b>) PL spectra from QD1 with AZO top-gate at an excitation power of <span class="html-italic">P</span> = 209 nW and varied <span class="html-italic">U</span>, as indicated. The exciton(X) peak is marked. For <span class="html-italic">U</span> = 0 V, the intensity is multiplied by a factor of 10.</p>
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<p>(<b>a</b>) Measured exciton energy <math display="inline"><semantics> <msub> <mi>E</mi> <mi>X</mi> </msub> </semantics></math> as function of <span class="html-italic">U</span> for several QDs. The respective top-gate material (AZO or Ti) and the usage of a HCl dip are indicated. (<b>b</b>) Comparison of measured <math display="inline"><semantics> <msub> <mi>E</mi> <mi>X</mi> </msub> </semantics></math> (symbols) with simulation results (lines) as function of <math display="inline"><semantics> <mrow> <mi>F</mi> <mo>=</mo> <mo>−</mo> <mo>(</mo> <mi>U</mi> <mo>−</mo> <msub> <mi>U</mi> <mn>0</mn> </msub> <mo>)</mo> <mo>/</mo> <mi>d</mi> </mrow> </semantics></math>. In the simulations, the value of <math display="inline"><semantics> <msub> <mi>U</mi> <mn>0</mn> </msub> </semantics></math> as well as the QD size-related parameters <math display="inline"><semantics> <msub> <mi>r</mi> <mrow> <mi>Q</mi> <mi>D</mi> </mrow> </msub> </semantics></math>, <math display="inline"><semantics> <msub> <mi>d</mi> <mrow> <mi>Q</mi> <mi>D</mi> </mrow> </msub> </semantics></math>, and <math display="inline"><semantics> <msub> <mi>h</mi> <mrow> <mi>Q</mi> <mi>D</mi> </mrow> </msub> </semantics></math> are determined by a comparison with the experimental data for <math display="inline"><semantics> <mrow> <mi>U</mi> <mo>≤</mo> <msub> <mi>U</mi> <mn>0</mn> </msub> </mrow> </semantics></math>. The resulting values are given in <a href="#nanomaterials-14-01712-t001" class="html-table">Table 1</a>.</p>
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<p>(<b>a</b>) PL spectra from QD1 taken using a pulsed laser at excitation powers <span class="html-italic">P</span> = 18 nW and 353 nW. The exciton (X) peak is marked. (<b>b</b>) Normalized time-dependent exciton peak intensity at varied <span class="html-italic">P</span>. All spectra are taken at <span class="html-italic">U</span> = 0.9 V.</p>
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<p>Measured bright lifetime <math display="inline"><semantics> <msub> <mi>τ</mi> <mi>B</mi> </msub> </semantics></math> as function of <span class="html-italic">F</span> for several QDs.</p>
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<p>Comparison of measured and simulated lifetimes of QD1. Different simulation models are used assuming the strong confinement regime (Sim. strong), the weak confinement regime for a spherical QD (Sim. weak), and an empirical approach combining strong and weak confinement (Sim. strong–weak).</p>
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<p>(<b>a</b>) 35 × 25 nm color-coded cross sections through simulated electron probability densities at varied <span class="html-italic">F</span>. The green lines indicate the shape of QD1. (<b>b</b>) Cross-sections through simulated hole probability densities at varied <span class="html-italic">F</span>. (<b>c</b>) z-position of the electron <math display="inline"><semantics> <msub> <mi>z</mi> <mi>e</mi> </msub> </semantics></math> and hole <math display="inline"><semantics> <msub> <mi>z</mi> <mi>h</mi> </msub> </semantics></math> probability density barycenters as function of <span class="html-italic">F</span>. (<b>d</b>) Radius of the electron <math display="inline"><semantics> <msub> <mi>r</mi> <mi>e</mi> </msub> </semantics></math> and hole <math display="inline"><semantics> <msub> <mi>r</mi> <mi>h</mi> </msub> </semantics></math> probability densities as function of <span class="html-italic">F</span>. For the radius, the point of the reduction in the probability density to 1/e is taken.</p>
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<p>Comparison of measured and simulated oscillator strength <span class="html-italic">f</span> of QD1. Different simulation models are used assuming the strong confinement regime (Sim. strong) and an empirical approach combining strong and weak confinement (Sim. strong–weak). The inset shows <math display="inline"><semantics> <mrow> <msub> <mi>f</mi> <mi>W</mi> </msub> <mo>=</mo> <msub> <mi>f</mi> <mrow> <mi>P</mi> <mi>L</mi> </mrow> </msub> <mo>/</mo> <msub> <mi>f</mi> <mi>S</mi> </msub> </mrow> </semantics></math> as function of <math display="inline"><semantics> <msub> <mi>r</mi> <mi>H</mi> </msub> </semantics></math>.</p>
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