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10 pages, 3672 KiB  
Article
Random Plasmonic Laser Based on Bismuth/Aluminum/Yttria/Silver Co-Doped Silica Fiber with Microcavity Shaped Tip
by José Augusto de la Fuente León, Ma. Alejandrina Martínez Gámez, José Luis Lucio Martinez, Alexander V. Kir’yanov, Karim Gibrán Hernández Chahín and Mukul Chandra Paul
Fibers 2025, 13(2), 17; https://doi.org/10.3390/fib13020017 - 5 Feb 2025
Viewed by 406
Abstract
In this study, we demonstrate a proof of principle of an all-fiber random laser due to the plasmonic effect. This was achieved with a fiber co-doped with bismuth/aluminum/yttria/silver in which a microsphere (microcavity) at the fiber’s tip was made using a splicing machine. [...] Read more.
In this study, we demonstrate a proof of principle of an all-fiber random laser due to the plasmonic effect. This was achieved with a fiber co-doped with bismuth/aluminum/yttria/silver in which a microsphere (microcavity) at the fiber’s tip was made using a splicing machine. The presence of bismuth and silver nanoparticles in the fiber along with bismuth–aluminum phototropic centers stands behind the observed phenomenon. The effect can be attributed to the in-pair functioning of this unit as an active medium and volumetric plasmonic feedback, resulting in lasing at 807 nm under 532 nm pumping with a notably low (~2 mW) threshold. Full article
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<p>(<b>a</b>) Absorption and (<b>b</b>) fluorescence spectra of BAYAg fiber. Inset in (<b>a</b>)—microphotograph of its cleaved end at WL illumination.</p>
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<p>(<b>a</b>) X-ray ED spectrum for BAYAg fiber and (<b>b</b>) its Raman spectrum.</p>
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<p>Programming a make-up of microsphere-on-fiber-tip structure using FSM.</p>
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<p>(<b>a</b>) Lateral view of the optical microscopy image of the microcavity on BAYAg fiber tip; (<b>b</b>) scheme of the plasmonic RFL based on microcavity-tipped BAYAg fiber; (<b>c</b>) fluorescence image of the fiber (without a microsphere on tip), pumped by 532 nm LD.</p>
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<p>Transience from fluorescence (orange curve) to lasing (blue curve) around the threshold.</p>
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<p>Plasmonic RL-emission at 807 nm: optical spectra recorded at variable pump power, launched into BAYAg fiber: on (<b>left</b>)—“3D” view of the laser line (linear scaling); on (<b>right</b>)—‘common’ “2D” spectra (logarithmic scaling), extended for showing the pump-light.</p>
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<p>Power (right axis) and line FWHM (left axis): 807 nm lasing in function of 532 nm pump power.</p>
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13 pages, 1059 KiB  
Article
Multiple Sessions of Antimicrobial Photodynamic Therapy Improve Periodontal Outcomes in Patients with Down Syndrome: A 12-Month Randomized Clinical Trial
by Rafael Ferreira, Sebastião Luiz Aguiar Greghi, Adriana Campos Passanezi Sant’Ana, Mariana Schutzer Ragghianti Zangrando and Carla Andreotti Damante
Dent. J. 2025, 13(1), 33; https://doi.org/10.3390/dj13010033 - 15 Jan 2025
Viewed by 951
Abstract
Background/Objectives: Individuals with Down syndrome (DS) often present with severe periodontal disease at a young age. Adjuvant treatments to scaling and root planing (SRP), such as antimicrobial photodynamic therapy (aPDT), may benefit this population. This study evaluated the effectiveness of aPDT as an [...] Read more.
Background/Objectives: Individuals with Down syndrome (DS) often present with severe periodontal disease at a young age. Adjuvant treatments to scaling and root planing (SRP), such as antimicrobial photodynamic therapy (aPDT), may benefit this population. This study evaluated the effectiveness of aPDT as an adjunct to SRP in individuals with DS. A randomized, double-blind, parallel trial was conducted with 37 individuals with DS. Methods: The test group (aPDT; n = 18) received SRP + aPDT, while the control group (C group; n = 19) received SRP only. For aPDT, a red laser (658 nm; 0.1 W; 2229 J/cm2; 40 s sweeping with optical fiber) combined with methylene blue (MB) (100 µg/mL) was applied across repeated sessions (on days 3, 7, and 14). Clinical parameters, such as plaque index (PI), clinical attachment level (CAL), probing depth (PD), and bleeding on probing (BOP), were recorded at baseline and after 3, 6, and 12 months of treatment. Statistical analyses were performed using parametric and non-parametric tests (p < 0.05). Results: Both treatments promoted improvements in all clinical periodontal parameters (p < 0.05). The aPDT group showed a statistically significant reduction in CAL at 3 months (aPDT = 4.58 mm vs. C = 4.72 mm; p < 0.05) and 12 months (aPDT = 4.59 mm vs. C = 4.84 mm; p < 0.05). Conclusions: aPDT improved periodontal health in the long term through a stable gain in attachment. Full article
(This article belongs to the Special Issue Laser Dentistry: The Current Status and Developments)
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<p>Study design timeline.</p>
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<p>CONSORT flow diagram of the study showing randomization, allocation, and interventions. C—control group: scaling and root planing; aPDT—scaling and root planing + antimicrobial photodynamic therapy.</p>
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20 pages, 1163 KiB  
Review
The Challenges and Opportunities for Performance Enhancement in Resonant Fiber Optic Gyroscopes
by Sumathi Mahudapathi, Sumukh Nandan R, Gowrishankar R and Balaji Srinivasan
Sensors 2025, 25(1), 223; https://doi.org/10.3390/s25010223 - 3 Jan 2025
Viewed by 3107
Abstract
In the last decade, substantial progress has been made to improve the performance of optical gyroscopes for inertial navigation applications in terms of critical parameters such as bias stability, scale factor stability, and angular random walk (ARW). Specifically, resonant fiber optic gyroscopes (RFOGs) [...] Read more.
In the last decade, substantial progress has been made to improve the performance of optical gyroscopes for inertial navigation applications in terms of critical parameters such as bias stability, scale factor stability, and angular random walk (ARW). Specifically, resonant fiber optic gyroscopes (RFOGs) have emerged as a viable alternative to widely popular interferometric fiber optic gyroscopes (IFOGs). In a conventional RFOG, a single-wavelength laser source is used to generate counter-propagating waves in a ring resonator, for which the phase difference is measured in terms of the resonant frequency shift to obtain the rotation rate. However, the primary limitation of RFOG performance is the bias drift, which can be attributed to nonreciprocal effects such as Rayleigh backscattering, back-reflections, polarization instabilities, Kerr nonlinearity, and environmental fluctuations. In this paper, we review the challenges and opportunities of achieving performance enhancement in RFOGs. Full article
(This article belongs to the Special Issue Advances in Optical Fiber Sensors and Fiber Lasers)
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<p>Performance comparison of various gyroscope technologies used for inertial/tactical/ control grades; adopted from [<a href="#B4-sensors-25-00223" class="html-bibr">4</a>].</p>
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<p>A schematic diagram illustrating the working principle of resonant fiber optic gyroscopes (RFOGs). Any rotation experienced by the fiber ring resonator (FRR) will result in an upward or downward shift in the resonance frequency for the two counter-propagating waves (CW and CCW, respectively). This frequency shift may be demodulated into an intensity change by typically locking the source frequency with respect to the FRR resonance.</p>
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<p>A typical lock-in detection-based readout system for RFOGs (reproduced from [<a href="#B26-sensors-25-00223" class="html-bibr">26</a>]). The input CW and CCW light beams are either phase or frequency-modulated to enable lock-in detection. One of the output signals (CCW in the above figure) is used to keep the source laser locked to the FRR resonance, whereas the other (CW) is used to read out the rotation rate.</p>
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<p>Schematic diagram illustrating the various algorithmic blocks implemented in an FPGA for signal detection [<a href="#B20-sensors-25-00223" class="html-bibr">20</a>].</p>
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<p>Bar graph showing the improvement in bias stability of RFOGs over the past three decades.</p>
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<p>Schematic diagram of a single-coupler resonator with reflector (SCRWR) gyroscope configuration with an intensity-based readout [<a href="#B80-sensors-25-00223" class="html-bibr">80</a>].</p>
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<p>Beat frequency for different rotation induced phase changes [<a href="#B11-sensors-25-00223" class="html-bibr">11</a>].</p>
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<p>Change in beat frequency vs. rotational bias for different values of reflectivity [<a href="#B11-sensors-25-00223" class="html-bibr">11</a>].</p>
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<p>Schematic diagram of a frequency comb source-based RFOG. Two mode-locked lasers are used to generate a separate comb of frequencies for the CW and CCW light beams. The rotation rate is measured by beating the two frequency combs as they are modulated by using FRR resonance shift through closed-loop feedback.</p>
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<p>A simulated frequency comb from which a set of frequencies are carved out in the central region.</p>
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<p>Comparison of (<b>a</b>) HC-PBGF, (<b>b</b>) NANF structures [<a href="#B75-sensors-25-00223" class="html-bibr">75</a>] (<b>c</b>), and CTF structures [<a href="#B95-sensors-25-00223" class="html-bibr">95</a>].</p>
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<p>Schematic diagram of an RFOG using an ASE source in a reflected resonator open-loop configuration [<a href="#B76-sensors-25-00223" class="html-bibr">76</a>].</p>
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11 pages, 2763 KiB  
Article
Random Emission and Control of Whispering Gallery Mode Using Flexible Optical Fiber
by Bingyang Cao, Zhen He and Weili Zhang
Photonics 2025, 12(1), 29; https://doi.org/10.3390/photonics12010029 - 1 Jan 2025
Viewed by 616
Abstract
Axially uniform optical fibers provide a low-cost, scalable platform for the emission of whispering gallery mode (WGM) lasers. This paper proposes a method for generating and controlling WGM lasers based on the design of a flexible optical fiber array structure. By adjusting the [...] Read more.
Axially uniform optical fibers provide a low-cost, scalable platform for the emission of whispering gallery mode (WGM) lasers. This paper proposes a method for generating and controlling WGM lasers based on the design of a flexible optical fiber array structure. By adjusting the spacing between the flexible fibers, the coupling relationship between different WGM modes is modulated, achieving a transition from regular to random WGM (R-WGM) mechanisms. Additionally, the application of this laser in information security encryption is demonstrated and explored. Full article
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<p>Schematic of the experimental setup. BS, beam splitter. PM, power meter. OBJ, objective. The green lines represent the pump light trajectory, while the portion of the laser output received by the spectrometer (the upper half of the inset within the red box is the actual image of the sample, and the lower half is a schematic diagram for sample).</p>
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<p>Output of sample I, the regular WGM laser. (<b>a</b>) Output spectra at different pump intensity (the inset shows experimental image of sample I with an average spacing of 150 μm between neighbor fibers); (<b>b</b>) output power (orange) and linewidth (purple) of the WGM lasing versus pump intensity (solid circles represent experimental data, and the solid line indicates the fitting result); (<b>c</b>) output spectrum when pump intensity is 3.7 mJ/cm<sup>2</sup> (the purple bidirectional arrow represents FSR, and the orange dashed lines represents FWHM); (<b>d</b>) PFT diagram of the WGM laser (the vertical axis is on a normalized logarithmic scale).</p>
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<p>Output of sample II, the random WGM laser. (<b>a</b>) Output spectra at different pump intensity (the inset shows experimental image of sample II with an average spacing of less than 10 μm, as indicated by the dashed box); (<b>b</b>) output power (orange) and linewidth (purple) of the R-WGM lasing versus pump intensity (solid circles represent experimental data, and the solid line indicates the fitting result); (<b>c</b>) output spectrum when pump intensity is 3.55 mJ/cm<sup>2</sup>; (<b>d</b>) PFT diagram of the R-WGM laser (the vertical axis is on a normalized logarithmic scale).</p>
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<p>Stability analysis of the output spectra in different pulse periods. (<b>a</b>) Regular WGM emission of different shots of pulses; (<b>b</b>) R-WGM output of different shot of pulses; (<b>c</b>) detailed comparison of regular WGM output between different shots of pulses (mode-overlap positions are marked by dashed lines); (<b>d</b>) detailed comparison of R-WGM output between different shots of pulses (mode-overlap positions are marked by dashed lines, deviations by triangles, and mode splitting by elliptical dashed lines).</p>
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<p>The PFT of two specific spectra of the R-WGM output (the vertical axis is on a normalized logarithmic scale). (<b>c</b>) and (<b>d</b>) represent two different random WGM states, while (<b>a</b>,<b>b</b>) are magnified views of the orange dashed portions of (<b>c</b>,<b>d</b>), respectively. The green dashed line indicates the region where the peaks are collectively concentrated.</p>
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<p>RSA authentication application based on the R-WGM.</p>
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20 pages, 15996 KiB  
Article
Erbium-Doped Fibers Designed for Random Single-Frequency Lasers Operating in the Extended L-Band
by Denis Lipatov, Alexey Abramov, Alexey Lobanov, Denis Burmistrov, Sergei Popov, Dmitry Ryakhovsky, Yuriy Chamorovskiy, Alexey Bazakutsa, Liudmila Iskhakova, Olga Egorova and Andrey Rybaltovsky
Photonics 2024, 11(12), 1175; https://doi.org/10.3390/photonics11121175 - 13 Dec 2024
Viewed by 785
Abstract
The paper presents the results of developing Er-doped optical fibers for creating random single-frequency lasers in the wavelength range of 1570–1610 nm. The possibility of broadening the luminescence band of Er3+ ions in silicate glasses in the long-wavelength region of the spectrum [...] Read more.
The paper presents the results of developing Er-doped optical fibers for creating random single-frequency lasers in the wavelength range of 1570–1610 nm. The possibility of broadening the luminescence band of Er3+ ions in silicate glasses in the long-wavelength region of the spectrum by introducing a high concentration of P2O5, as well as by additional doping with Sb2O3, is investigated. It is found that both approaches do not improve the dynamics of luminescence decay in the L-band. In addition, Er2O3-GeO2-Al2O3-SiO2 and Er2O3-GeO2-Al2O3-P2O5-SiO2 glasses were studied as the core material for L-band optical fibers. The developed fibers exhibited high photosensitivity and a high gain of 5 and 7.2 dB/m, respectively. In these fibers, homogeneous arrays of extended weakly reflecting Bragg gratings were recorded directly during the fiber drawing process. Samples of arrays 5 m long and with a narrow reflection maximum at ~1590 nm were used as the base for laser resonators. Narrow-band random laser generation in the wavelength region of 1590 nm was recorded for the first time. At a temperature of 295 K, the laser mode was strictly continuous wave and stable in terms of output power. The maximal power exceeded 16 mW with an efficiency of 16%. Full article
(This article belongs to the Section Lasers, Light Sources and Sensors)
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<p>Schematic diagram of the setup for recording the reflection spectra of optical fibers with FBG arrays recorded in them. 1—sample under study, 2—50/50 Y-type fiber splitter, 3—superluminescent diode, and 4—optical spectrum analyzer.</p>
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<p>Schematic diagram of the setup for studying the laser characteristics of the developed random resonators. 1—sample under study, 2—fiber multiplexers (WDM) “980/1600”, 3—pump diode, and 4—optical isolators.</p>
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<p>Refractive index profile of the LD666 preform (<b>a</b>), core glass composition (<b>b</b>), and optical loss spectrum (<b>c</b>) in a multimode fiber drawn from this preform.</p>
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<p>Spectral dependence of the small-signal gain in LD663-1 and LD663-2 optical fibers.</p>
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<p>Frequency reflectogram and reflection spectrum of 1-meter-long arrays drawn from LD663-1 (<b>left</b>) and LD666 (<b>right</b>) preforms.</p>
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<p>Luminescence spectra of Er-GPS fibers, normalized to the maximum intensity at a wavelength of 1535 nm.</p>
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<p>Dependence of the change in the refractive index on the content of antimony in quartz glass.</p>
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<p>Optical loss spectrum in a multimode optical fiber with a core doped with 2 mol% Sb<sub>2</sub>O<sub>3</sub>.</p>
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<p>Refractive index profiles of LD677 (<b>a</b>) and LD663-1 (<b>b</b>) preforms and the spectrum of “background” optical losses in fibers drawn from these preforms (<b>c</b>).</p>
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<p>Spectral dependence of the small-signal gain in LD663-1 and LD677 optical fibers.</p>
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<p>The refractive index profile in the LD678 preform (<b>a</b>) and the full spectrum of optical losses in the single-mode fiber drawn from the preform (<b>b</b>).</p>
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<p>Refractive index profiles in LD681 and LD682 preforms (<b>a</b>,<b>c</b>), and optical loss spectra in the corresponding single-mode optical fibers drawn from these preforms (<b>b</b>,<b>d</b>).</p>
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<p>Reflectance spectra of 5-meter-long optical fibers, 100% filled with arrays of identical low-reflective FBGs.</p>
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<p>Optical spectrum of the output laser radiation of the LD682 random resonator.</p>
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<p>Interferograms of the LD682 random resonator measured without using a polarizer at the output (<b>a</b>) and measured with using a polarizer (<b>b</b>).</p>
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<p>Dependence of laser radiation power on pump radiation power for random resonators LD681 (<b>a</b>) and LD682 (<b>b</b>).</p>
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11 pages, 4528 KiB  
Article
Random Raman Lasing in Diode-Pumped Multi-Mode Graded-Index Fiber with Femtosecond Laser-Inscribed Random Refractive Index Structures of Various Shapes
by Alexey G. Kuznetsov, Zhibzema E. Munkueva, Alexandr V. Dostovalov, Alexey Y. Kokhanovskiy, Polina A. Elizarova, Ilya N. Nemov, Alexandr A. Revyakin, Denis S. Kharenko and Sergey A. Babin
Photonics 2024, 11(10), 981; https://doi.org/10.3390/photonics11100981 - 18 Oct 2024
Viewed by 883
Abstract
Diode-pumped multi-mode graded-index (GRIN) fiber Raman lasers provide prominent brightness enhancement both in linear and half-open cavities with random distributed feedback via natural Rayleigh backscattering. Femtosecond laser-inscribed random refractive index structures allow for the sufficient reduction in the Raman threshold by means of [...] Read more.
Diode-pumped multi-mode graded-index (GRIN) fiber Raman lasers provide prominent brightness enhancement both in linear and half-open cavities with random distributed feedback via natural Rayleigh backscattering. Femtosecond laser-inscribed random refractive index structures allow for the sufficient reduction in the Raman threshold by means of Rayleigh backscattering signal enhancement by +50 + 66 dB relative to the intrinsic fiber level. At the same time, they offer an opportunity to generate Stokes beams with a shape close to fundamental transverse mode (LP01), as well as to select higher-order modes such as LP11 with a near-1D longitudinal random structure shifted off the fiber axis. Further development of the inscription technology includes the fabrication of 3D ring-shaped random structures using a spatial light modulator (SLM) in a 100/140 μm GRIN multi-mode fiber. This allows for the generation of a multi-mode diode-pumped GRIN fiber random Raman laser at 976 nm with a ring-shaped output beam at a relatively low pumping threshold (~160 W), demonstrated for the first time to our knowledge. Full article
(This article belongs to the Special Issue Advancements in Fiber Lasers and Their Applications)
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<p>Artificial random reflectors of different types fs-inscribed inside the GRIN fiber core: (<b>a</b>) 1D in-line point reflector written along the fiber axis by the direct P-b-P technique, (<b>b</b>) similar 1D in-line reflector shifted off the axis; (<b>c</b>) 3D ring reflector written by SLM-assisted L-b-L technique, meaning that circular lines of overlapping points are inscribed in different planes with the average distance between the planes Δ<span class="html-italic">L</span> and integral length of the structure <span class="html-italic">L</span>.</p>
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<p>Optical scheme for SLM-assisted writing of random reflective structures using a 4f system with a focus length of 20 cm.</p>
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<p>Rayleigh backscattering level (<b>a</b>) and reflection spectrum (<b>b</b>) of ring-shaped random structure with length <span class="html-italic">L</span> = 2 mm inscribed in GRIN fiber.</p>
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<p>Scheme of the Raman fiber laser with a random distributed reflector.</p>
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<p>Output Stokes power together with a residual pump (<b>a</b>), spectra at different input pump powers (<b>b</b>) and output beam quality and intensity profile (color corresponds to intensity) in the waist shown in the inset, (<b>c</b>) of the MM RFL with an OC in-line random reflector (<span class="html-italic">L</span> = 120 mm, Δ<span class="html-italic">L</span> = 25 µm).</p>
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<p>Output Stokes power together with a residual pump (<b>a</b>), spectra at different input pump powers (<b>b</b>) and output beam quality and intensity profile (color corresponds to intensity) in the waist shown in the inset (<b>c</b>) of the MM RFL with an OC in-line random reflector (<span class="html-italic">L</span> = 60 mm, Δ<span class="html-italic">L</span> = 50 µm).</p>
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<p>Output Stokes power together with a residual pump (<b>a</b>), spectra at different input pump powers (<b>b</b>) and output beam quality and intensity profile (color corresponds to intensity) in the waist shown in the inset (<b>c</b>) of the MM RFL with an OC in-line random reflector (<span class="html-italic">L</span> = 2 × 120 mm, Δ<span class="html-italic">L</span> = 25 µm) with a relative shift Δ<span class="html-italic">y</span> ~ 3 μm.</p>
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<p>(<b>a</b>) Output power of laser with different samples of 3D random distributed reflectors (OC). (<b>b</b>) Generated Stokes power shown in larger scale.</p>
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<p>Output laser spectra in comparison with HR FBG reflectance spectra for different 3D random reflectors.</p>
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<p>Measured beam quality parameter M<sup>2</sup> for lasers with different random reflectors at maximum RFL power (from left to right): 2.75, 3, 3.2 μJ. Inset: beam intensity (marked by different colors) profile in the waist.</p>
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<p>Beam intensity profile at 5.3 W output power captured in the plane of the fiber end face (OC 3.2 μJ).</p>
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10 pages, 3327 KiB  
Article
A Theoretical and Experimental Analysis of the Time-Domain Characteristics of a PRBS Phase-Modulated Laser System
by Yun Zhu, Ying Li, Dong Li, Lin Dong, Xuesheng Liu, Anru Yan, Youqiang Liu and Zhiyong Wang
Appl. Sci. 2024, 14(20), 9198; https://doi.org/10.3390/app14209198 - 10 Oct 2024
Viewed by 911
Abstract
Pseudo-Random Binary Sequence (PRBS) phase modulation is an effective method for suppressing the stimulated Brillouin scattering (SBS) effect generated by narrow-linewidth fiber lasers during amplification. We noticed that backward time-domain pulses were generated when using PRBS modulation signals in fiber amplification. In this [...] Read more.
Pseudo-Random Binary Sequence (PRBS) phase modulation is an effective method for suppressing the stimulated Brillouin scattering (SBS) effect generated by narrow-linewidth fiber lasers during amplification. We noticed that backward time-domain pulses were generated when using PRBS modulation signals in fiber amplification. In this paper, the time-domain dynamic characteristics of the forward output laser and the backward Stokes light after PRBS phase modulation were studied theoretically. Through analyzing the transient SBS three-wave coupling theory and combining it with the SBS accumulation time constant, we knew that the forward and backward high-intensity pulses were caused by the long dwell time of the PRBS. For this purpose, we provided a new method for suppressing high-intensity pulses caused by a long dwell time; namely, we modified the maximum length sequence (MLS) of PRBS signals to eliminate the long dwell time, took the PRBS-9 signal at 1 GHz as an example, and then used MLS1 modulation and MLS2 modulation to compare them with unoptimized PRBS modulation. The output laser peaks of the MLS1 and MLS2 signals were reduced from ±55% to ±25% and ±10% relative to the original PRBSs, respectively, and the peaks of Stokes light were reduced from 39% to 19% and 11%, respectively. Additionally, we experimentally verified that the rational optimization of the sequence did not reduce the SBS threshold. The results provided a new method for suppressing high-intensity pulses during the amplification of a PRBS phase-modulated laser, which played an important role in the output stability of high-power narrow-linewidth fiber amplifiers. Full article
(This article belongs to the Special Issue Smart Fiber Lasers)
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<p>Schematic diagram of signal phase modulation and passive fiber structure (we studied time-domain characteristics of output light and Stokes light in passive fiber after phase modulation).</p>
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<p>Sequence diagram of PRBS-9 with <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>f</mi> </mrow> <mrow> <mi>c</mi> <mi>r</mi> </mrow> </msub> </mrow> </semantics></math> = 1 GHz.</p>
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<p>(<b>a</b>) PRBS signal; (<b>b</b>) output laser; (<b>c</b>) time waveform of backward Stokes light injected by 1 GHz, PRBS-9 phase-modulated laser.</p>
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<p>Time-domain waveforms of the output laser and backward Stokes light at (<b>a</b>) original PRBS-9; (<b>b</b>) MLS1, PRBS-9; (<b>c</b>) MLS2, PRBS-9.</p>
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<p>Experimental setup of narrow-linewidth fiber laser based on spectrum broadening.</p>
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<p>The output power and backward power varied with the pump power using different sequence modulation: (<b>a</b>) the original sequence; (<b>b</b>) MLS1; (<b>c</b>) MLS2; (<b>d</b>) MLS3.</p>
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<p>(<b>a</b>) Forward spectrum at output power of 2.844 W and (<b>b</b>) filtered PRBS modulated output spectrum after pre-amplification.</p>
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<p>Beam quality at an output power of 2.844 W.</p>
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12 pages, 5941 KiB  
Article
Boundary Feedback Fiber Random Microcavity Laser Based on Disordered Cladding Structures
by Hongyang Zhu, Bingquan Zhao, Zhi Liu, Zhen He, Lihong Dong, Hongyu Gao and Xiaoming Zhao
Photonics 2024, 11(5), 467; https://doi.org/10.3390/photonics11050467 - 16 May 2024
Viewed by 1396
Abstract
The cavity form of complex microcavity lasers predominantly relies on disordered structures, whether found in nature or artificially prepared. These structures, characterized by disorder, facilitate random lasing through the feedback effect of the cavity boundary and the internal scattering medium via various mechanisms. [...] Read more.
The cavity form of complex microcavity lasers predominantly relies on disordered structures, whether found in nature or artificially prepared. These structures, characterized by disorder, facilitate random lasing through the feedback effect of the cavity boundary and the internal scattering medium via various mechanisms. In this paper, we report on a random fiber laser employing a disordered scattering cladding medium affixed to the inner cladding of a hollow-core fiber. The internal flowing liquid gain establishes a stable liquid-core waveguide environment, enabling long-term directional coupling output for random laser emission. Through theoretical analysis and experimental validation, we demonstrate that controlling the disorder at the cavity boundary allows liquid-core fiber random microcavities to exhibit random lasing output with different mechanisms. This provides a broad platform for in-depth research into the generation and control of complex microcavity lasers, as well as the detection of scattered matter within micro- and nanostructures. Full article
(This article belongs to the Special Issue Advancements in Fiber Lasers and Their Applications)
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<p>Configuration and basic features of the fiber random microcavity. (<b>a</b>) The axial microscopic image of HCF filled with suspension. (<b>b</b>) The axial microscopic images of optical fiber random microcavities with different degrees of disorder formed by airflow modification. (<b>c</b>,<b>d</b>) Two random microcavity cross-sections of fiber random microcavities with different degrees of disorder. (<b>e</b>) Sketch of the basic experimental setup. P, polarizer. PBS, polarization beam splitter. BS, beam splitter. PM, power meter. OBJ, microscope objective. M, mirror. AD, Adjustable diaphragm. CCD, charge-coupled device, S, spectrometer. MC, microfluidic controller. The inset is a microscopic image of the end surface of the sample. From outside to inside, there are walls of HCF, disordered inner cladding, and the gain region.</p>
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<p>The spectral properties produced by a coherent random laser based on a localized regime. (<b>a</b>) The spectra of random laser with different pump energy densities. (<b>b</b>) The average photon counts at the peaks as the pump energy density changes. (<b>c</b>) The excitation spectrum of five consecutive pulses during long-term segmental measurement. (<b>d</b>) The changing trend of the average peak photon counts of five consecutive pulses collected at different periods.</p>
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<p>The spectral properties of random laser based on diffusion and partially coherent random lasers. (<b>a</b>) The variation of incoherent random laser spectrum generated with pump power density at position 2. (<b>b</b>) The average photon counts at the peaks as the pump energy density changes. (<b>c</b>) The spectrum of partially coherent random laser excited with pump power density increasing. (<b>d</b>) The corresponding average photon counts at the peaks.</p>
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<p>The PFT properties of random lasers based on strong localization and diffusive random lasers. (<b>a</b>) Power Fourier transform of the output spectrum produced by pumping position 1. The inset is the corresponding spectral information of a coherent random laser. (<b>b</b>) Power Fourier transform of the output spectrum produced by pumping position 2. The inset is the corresponding spectral information of a diffusive random laser. (<b>c</b>,<b>d</b>) The statistical characteristics of resonance peak intensity and equivalent optical cavity length in PFT, the red represents position 1 and the blue represents position 2.</p>
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<p>The cold cavity theory analysis of boundary feedback fiber random microcavity. (<b>a</b>) The radial simulation structure of optical fiber random microcavity. The color scale represents the refractive index. (<b>b</b>,<b>c</b>) The change in optical power distribution in the radial section with the number of scattering particles <span class="html-italic">n</span>. The color scale represents the optical power. (<b>b</b>) <span class="html-italic">n</span> = 100. (<b>c</b>) <span class="html-italic">n</span> = 3000. (<b>d</b>) The axial simulation structure of optical fiber random microcavity. (<b>e</b>,<b>f</b>) The change in optical power distribution in the axial section with the number of scattering particles <span class="html-italic">n</span>, (<b>e</b>) <span class="html-italic">n</span> = 100. (<b>f</b>) <span class="html-italic">n</span> = 3000.</p>
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<p>The theoretical spectral analysis of boundary feedback fiber random microcavity laser. (<b>a</b>–<b>c</b>) Spectral changes monitored from the fiber core to near the scattering boundary in the radial 2D model. (<b>d</b>) Radial section structure of optical fiber microcavity with regular boundary feedback. The color scale represents the refractive index. (<b>e</b>,<b>f</b>) Spectral changes monitored from the fiber core to near the scattering boundary in the radial 2D model.</p>
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18 pages, 4605 KiB  
Article
Predicting and Enhancing the Multiple Output Qualities in Curved Laser Cutting of Thin Electrical Steel Sheets Using an Artificial Intelligence Approach
by Muhamad Nur Rohman, Jeng-Rong Ho, Chin-Te Lin, Pi-Cheng Tung and Chih-Kuang Lin
Mathematics 2024, 12(7), 937; https://doi.org/10.3390/math12070937 - 22 Mar 2024
Cited by 2 | Viewed by 1308
Abstract
This study focused on the efficacy of employing a pulsed fiber laser in the curved cutting of thin, non-oriented electrical steel sheets. Experiments were conducted in paraffinic oil by adjusting the input process parameters, including laser power, pulse frequency, cutting speed, and curvature [...] Read more.
This study focused on the efficacy of employing a pulsed fiber laser in the curved cutting of thin, non-oriented electrical steel sheets. Experiments were conducted in paraffinic oil by adjusting the input process parameters, including laser power, pulse frequency, cutting speed, and curvature radius. The multiple output quality metrics included kerf width, inner and outer heat-affected zones, and re-welded portions. Analyses of the Random Forest Method and Response Surface Method indicated that laser pulse frequency was the most important variable affecting the cut quality, followed by laser power, curvature radius, and cutting speed. To improve cut quality, an innovative artificial intelligence (AI) approach incorporating a deep neural network (DNN) model and a modified equilibrium optimizer (M-EO) was proposed. Initially, the DNN model established correlations between input parameters and cut quality aspects, followed by M-EO pinpointing optimal cut qualities. Such an approach successfully identified an optimal set of laser process parameters, even beyond the specified process window from the initial experiments on curved cuts, resulting in significant enhancements confirmed by validation experiments. A comparative analysis showcased the developed models’ superior performance over prior studies. Notably, while the models were initially developed based on the results from curved cuts, they proved adaptable and capable of yielding comparable outcomes for straight cuts as well. Full article
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<p>Schematic of the experimental setup for curved laser cutting of thin non-oriented silicon steel sheets.</p>
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<p>Diagram illustrating the (<b>a</b>) curved cut profile and the locations for measuring <span class="html-italic">Kw</span>, <span class="html-italic">HAZ<sub>in</sub></span>, and <span class="html-italic">HAZ<sub>out</sub></span> (left), explanation of <span class="html-italic">Kw</span>, <span class="html-italic">HAZ<sub>in</sub></span>, and <span class="html-italic">HAZ<sub>out</sub></span> (right) and (<b>b</b>) definition of <span class="html-italic">Rp</span> and α°.</p>
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<p>Images of (<b>a</b>) the best cut quality, (<b>b</b>) the average cut quality, and (<b>c</b>) the worst cut quality.</p>
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<p>Interval plots for <span class="html-italic">HAZ<sub>in</sub></span> and <span class="html-italic">HAZ<sub>out</sub></span>.</p>
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<p>Percentage of variable importance calculated by RFM.</p>
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<p>Response surface plots of NCQ for various pairs of variables: (<b>a</b>) <span class="html-italic">R</span> and <span class="html-italic">P</span>, (<b>b</b>) <span class="html-italic">R</span> and <span class="html-italic">f</span>, (<b>c</b>) <span class="html-italic">R</span> and <span class="html-italic">v</span>, (<b>d</b>) <span class="html-italic">P</span> and <span class="html-italic">f</span>, (<b>e</b>) <span class="html-italic">P</span> and <span class="html-italic">v</span>, and (<b>f</b>) <span class="html-italic">f</span> and <span class="html-italic">v</span>.</p>
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<p>Response surface plots of NCQ for various pairs of variables: (<b>a</b>) <span class="html-italic">R</span> and <span class="html-italic">P</span>, (<b>b</b>) <span class="html-italic">R</span> and <span class="html-italic">f</span>, (<b>c</b>) <span class="html-italic">R</span> and <span class="html-italic">v</span>, (<b>d</b>) <span class="html-italic">P</span> and <span class="html-italic">f</span>, (<b>e</b>) <span class="html-italic">P</span> and <span class="html-italic">v</span>, and (<b>f</b>) <span class="html-italic">f</span> and <span class="html-italic">v</span>.</p>
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<p>General workflow in AI-based modeling.</p>
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<p>Schematic of (<b>a</b>) an SNN model and (<b>b</b>) a DNN model.</p>
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<p>Scores obtained by the SNN and DNNs with varying numbers of hidden layers following fine-tuning.</p>
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<p>The best fitness and average fitness obtained by M-EO and EO.</p>
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<p>Interval plots illustrating (<b>a</b>) <span class="html-italic">Kw</span> and (<b>b</b>) HAZ for curved and straight cuts in laser cutting employing the optimal process parameters.</p>
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11 pages, 7221 KiB  
Article
A Theoretical Investigation of an Ultrawide S-, C- and L-Band-Tunable Random Fiber Laser Based on the Combination of Tellurite Fiber and Erbium-Doped Fiber
by Lu Chen, Yang Li, Houkun Liang and Han Wu
Photonics 2024, 11(3), 247; https://doi.org/10.3390/photonics11030247 - 11 Mar 2024
Viewed by 1395
Abstract
In this paper, we present a new scheme to generate ultrawide tunable random fiber lasers (RFLs) covering the S-, C- and L-band by combining the broadband Raman gain in tellurite fibers and the active gain in erbium-doped fibers. A numerical simulation based on [...] Read more.
In this paper, we present a new scheme to generate ultrawide tunable random fiber lasers (RFLs) covering the S-, C- and L-band by combining the broadband Raman gain in tellurite fibers and the active gain in erbium-doped fibers. A numerical simulation based on the power-balance model is conducted to verify the feasibility of the ultrawide tunable random fiber lasing generation. Pumped by a 1450 nm laser, the tunable random Raman fiber laser in the ranges of 1480–1560 nm and 1590–1640 nm can only be realized with a tellurite fiber. To further fill in the emission gap in the range of 1560–1590 nm, the erbium-doped fiber is incorporated in the cavity, which can provide efficient erbium-doped gain in the C- and L-band. By combining a 100 m long tellurite fiber and an 8 m long erbium-doped fiber, an ultrawide tunable RFL based on hybrid erbium–Raman gain can be realized with a wavelength tuning range (1480 nm–1640 nm) covering the S-, C- and L-band at 3.5 W pump power. Such a widely tunable RFL is of great importance in applications such as optical communication, sensing and imaging. Full article
(This article belongs to the Special Issue Advanced Lasers and Their Applications)
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<p>(<b>a</b>) Proposed scheme of the tunable RFL. WDM, wavelength-division multiplexer; EDF, erbium-doped fiber; TF, tellurite fiber; (<b>b</b>) Raman gain coefficients of the tellurite fiber used in the simulation; (<b>c</b>) Rayleigh scattering coefficient and transmission loss of the tellurite fiber used in the simulation.</p>
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<p>Output power as a function of pump power (<b>a</b>) for the lasing wavelengths of 1480 nm, 1550 nm, 1580 nm and 1640 nm and (<b>b</b>) for the TFs of length 100 m and 150 m. (<b>c</b>) Tunable lasing spectra when the pump power is fixed at 3.5 W. (<b>d</b>) Output powers as a function of lasing wavelength at pump powers of 2.0 W, 2.5 W, 3.0 W and 3.5 W.</p>
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<p>(<b>a</b>) Emission spectra of the tunable RFL with the combination of EDFs and TFs when the pump power is fixed at 3.5 W. (<b>b</b>) Output powers as a function of pump powers for the lasing wavelengths of 1480 nm, 1550 nm, 1580 nm and 1640 nm. (<b>c</b>) Output powers as a function of lasing wavelengths at pump powers of 2.0 W, 2.5 W, 3.0 W and 3.5 W.</p>
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<p>(<b>a</b>) Output powers as a function of lasing wavelengths for the cases of the EDFs of length 4 m, 8 m and 12 m (<b>b</b>) Output powers of 1580 nm lasing as a function of pump powers for the cases of the EDFs of length 4 m, 8 m and 12 m.</p>
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<p>Output power as a function of pump power (<b>a</b>) for the lasing wavelengths of 1480 nm, 1550 nm, 1580 nm and 1640 nm and (<b>b</b>) for the TFs with lengths 10 m, 20 m and 30 m. (<b>c</b>) Tunable lasing spectra when the pump power is fixed at 22 W. (<b>d</b>) Output powers as a function of lasing wavelength at pump powers of 16 W, 18 W, 20 W and 22 W.</p>
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<p>Emission spectra of tunable RFLs with the combination of EDFs and TFs when the pump power is fixed at 22 W.</p>
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22 pages, 8228 KiB  
Article
Comparative Study of Vibration Response in Steel and Braided-Carbon-Fiber Bicycle Handlebars: A Numerical-Experimental Approach with Various Sensors
by Javier Abad, Luis Castejon, Jesus Cuartero and Roberto Palacin
Sensors 2024, 24(6), 1767; https://doi.org/10.3390/s24061767 - 8 Mar 2024
Cited by 1 | Viewed by 1651
Abstract
The comfort and safety of a cyclist are directly influenced by the vibrational behavior of the handlebar. Hence, the objective of this article is to comparatively assess the vibrational characteristics of two bicycle handlebars: one made of steel and the other made of [...] Read more.
The comfort and safety of a cyclist are directly influenced by the vibrational behavior of the handlebar. Hence, the objective of this article is to comparatively assess the vibrational characteristics of two bicycle handlebars: one made of steel and the other made of braided composite material. The transmissibility function represents the relationship between the excitation applied to both handlebars through their stems and the corresponding response in the handle area, which was experimentally obtained by applying a random vibrating signal (constant amplitude of 0.01 g2/Hz) using a shaker. This signal was applied in a frequency range between 100 Hz and 1200 Hz, and the response was measured at one of the two cantilevered ends of the handlebar. Different sensors, including a laser vibrometer and a control accelerometer in the shaker, were utilized. The transmissibility, natural frequencies and damping functions were obtained. Subsequently, another experimental analysis was carried out with the instrumented handlebars mounted on a bicycle, placing three accelerometers and a GPS meter and traveling through a real test circuit, with a rough surface, speed bumps and areas with shaped warning bands. Power Spectral Density (PSD) curves were obtained for the steel and carbon-fiber-composite handlebars in order to quantify the signal intensity. Finally, a fatigue analysis was carried out in order to evaluate the expected life of both handlebars under the experimentally applied load, which is considered the reference cycle. This study offers a comparative analysis of the vibration behavior exhibited by steel and carbon-fiber-composite bicycle handlebars under experimentally applied load. In conclusion, data on natural frequencies, damping functions and fatigue life expectancy for both handlebar materials were obtained. Our study provides valuable insights into the vibrational behavior and performance characteristics of steel and carbon-fiber-composite bicycle handlebars, contributing to the understanding of their comfort and safety implications for cyclists. Full article
(This article belongs to the Section Physical Sensors)
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<p>Steel handlebar (dimensions in mm).</p>
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<p>Layer zones of composite handlebar. Four layers of braiding at central part (red color) and three layers of braiding throughout rest of handlebar (blue color).</p>
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<p>Manufacturing of braided-carbon handlebar.</p>
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<p>Final braided-carbon handlebar.</p>
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<p>Natural frequency and vibration natural mode for the steel handlebar (<b>a</b>) and the braided-carbon handlebar (<b>b</b>).</p>
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<p>Testing arrangement for natural frequencies and damping determination.</p>
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<p>Equipment used for the Experimental Modal Analysis (EMA).</p>
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<p>Transfer functions for steel and braided-carbon-fiber handlebars.</p>
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<p>One-third-octave-frequency-weighted R.M.S. acceleration spectrum. (<b>Left</b>): Steel handlebar. (<b>Right</b>): Carbon-fiber handlebar.</p>
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<p>Layout and location of test track. The test circuit is marked in red color.</p>
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<p>Images of track and details of obstacles.</p>
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<p>Images of track and details of obstacles.</p>
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<p>Bicycle rider equipped with backpack to carry LMS SCADAS RECORDER equipment and detailed view of three accelerometers strategically positioned on bicycle handlebar.</p>
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<p>Vertical acceleration measured at points 1, 2 and 3, corresponding to the locations of the applied accelerometers and the speed versus time for the steel handlebars. (B) Location of the 7 speed bumps and (W) location of the 15 warning strips.</p>
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<p>Vertical acceleration measured at points 1, 2 and 3, corresponding to the locations of the applied accelerometers and the speed versus time for the braided-carbon-fiber-composite handlebar. (B) Location of the 7 speed bumps and (W) location of the 15 warning strips.</p>
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<p>PSD (Power Spectral Density) (g<sup>2</sup>/Hz) vs. frequency (Hz) obtained for the steel handlebar at three acceleration measurement points on the handlebar.</p>
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<p>PSD (Power Spectral Density) (g<sup>2</sup>/Hz) vs. frequency (Hz) obtained for the braided-carbon-fiber-composite handlebar at three acceleration measurement points on the handlebar.</p>
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<p>Points corresponding to cycles measured between extreme acceleration values, for the steel handlebar, at the three measurement points at which accelerometers were applied.</p>
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<p>A histogram counting the vibration cycles for the steel handlebar at each of the three acceleration measurement points on the handlebar. Y-axis: Range of acceleration variation (g) vs. X-axis: Sum of cycles.</p>
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<p>S-N curve used for S355 steel obtained from Testlab Neo Durability database.</p>
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<p>Points corresponding to cycles measured between extreme acceleration values, for the braided-carbon-fiber-composite handlebar, in the three measurement points in which accelerometers were applied.</p>
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<p>A histogram counting the vibration cycles for the braided-carbon-composite handlebar at each of the three acceleration measurement points on the handlebar. Y-axis: Range of acceleration variation (g) vs. X-axis: Sum of cycles.</p>
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<p>S-N curve used for braided carbon and epoxy resin composite [<a href="#B18-sensors-24-01767" class="html-bibr">18</a>].</p>
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9 pages, 8519 KiB  
Communication
Single-Frequency Ring Fiber Laser with Random Distributed Feedback Provided by Artificial Rayleigh Scattering
by Mikhail I. Skvortsov, Kseniya V. Proskurina, Evgeniy V. Golikov, Alexander V. Dostovalov, Alexey A. Wolf, Zhibzema E. Munkueva, Sofia R. Abdullina, Vadim S. Terentyev, Olga N. Egorova, Sergey L. Semjonov and Sergey A. Babin
Photonics 2024, 11(2), 103; https://doi.org/10.3390/photonics11020103 - 23 Jan 2024
Cited by 2 | Viewed by 1774
Abstract
Femtosecond (fs) laser inscription technology allows for the production of in-fiber disordered structures with an enhanced level of Rayleigh backscattering with relatively few induced losses. These properties enable the application of these structures as reflectors in fiber lasers. In this study, a narrow-linewidth [...] Read more.
Femtosecond (fs) laser inscription technology allows for the production of in-fiber disordered structures with an enhanced level of Rayleigh backscattering with relatively few induced losses. These properties enable the application of these structures as reflectors in fiber lasers. In this study, a narrow-linewidth erbium fiber laser with random distributed feedback provided by a fs-induced random structure in a ring cavity configuration was developed. A single-frequency regime was observed over the entire lasing power range. At a maximum output power of 7.8 mW, the linewidth did not exceed 0.75 kHz. Full article
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<p>(<b>a</b>) Reflectogram and (<b>b</b>) reflection spectrum of RDFB structure.</p>
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<p>Experimental setup.</p>
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<p>(<b>a</b>) The measured output power as a function of pump power; (<b>b</b>) RF spectrum at threshold and maximum output power.</p>
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<p>(<b>a</b>) Generation spectrum at maximum output power; (<b>b</b>) RF beating spectra obtained via heterodyne technique.</p>
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<p>(<b>a</b>) Oscillogram of output radiation; (<b>b</b>) relative intensity noise measured at the maximum output power.</p>
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<p>Simulated interference patterns of the proposed random fiber laser depending on the number of roundtrips.</p>
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<p>Schematic demonstration of longitudinal mode distribution in an RDFB laser cavity: (<b>a</b>) four modes and (<b>b</b>) only one mode exceeding the lasing threshold.</p>
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10 pages, 1583 KiB  
Article
Generation of Narrow Modes in Random Raman Fiber Laser Based on Multimode Fiber
by Ilya D. Vatnik, Oleg A. Gorbunov and Dmitry V. Churkin
Photonics 2024, 11(1), 2; https://doi.org/10.3390/photonics11010002 - 19 Dec 2023
Viewed by 1489
Abstract
We present a new design of a random Raman fiber laser based on a graded-index multimode fiber as the media composing the cavity that allows the generation of narrow spectral lines. We carried out spectral measurements using an optical heterodyning technique by projecting [...] Read more.
We present a new design of a random Raman fiber laser based on a graded-index multimode fiber as the media composing the cavity that allows the generation of narrow spectral lines. We carried out spectral measurements using an optical heterodyning technique by projecting multimode radiation onto the fundamental mode of a standard single-mode fiber. The measurements confirmed the presence of localized ultra-narrow short-lived modes. We measured the powers of the modes and found it to be significantly higher (up to 25 mW) compared with those in a random Raman laser based on a single-mode fiber (<2 mW), while preserving the same typical lifetimes of a few milliseconds. Full article
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<p>(<b>a</b>) The experimental setup. FBG—fiber Bragg grating, WDM—wavelength-division multiplexer, ISO—isolator, LO—local oscillator, BPD—balanced photodetector, PM—power meter, OSA—grating-based single-pixel spectrometer. (<b>b</b>) Total output power versus the pump power. A green square indicates the output power range supporting narrow-mode generation.</p>
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<p>(<b>a</b>) Generation spectra measured with the grating-based single-pixel spectrometer. (<b>b</b>) An example of the time dynamics of the small part of the output generation spectrum measured with optical heterodyning, presenting a rise in the spectral mode. The pump power is 3.1 W.</p>
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<p>(<b>a</b>) Probability density for the maximum power of the narrow spectral modes, appearing in the MM-fiber-based random laser for two different pump powers. (<b>b</b>) Probability density of the output powers measured for narrow spectral modes in the laser based on 32 km of standard single-mode SMF-28 fiber.</p>
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<p>Lifetimes of narrow modes measured in (<b>a</b>) the MM-fiber-based random laser for two pump powers and (<b>b</b>) the laser based on the standard single-mode SMF-28 fiber.</p>
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<p>Distribution of mode lifetime depending on the maximum generation power in the mode for different pump powers: (<b>a</b>) 3.1 W; (<b>b</b>) 4 W.</p>
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<p>Probability distribution function of the narrow spectral mode’s power for different eccentricities between MM and SMF-28 fibers in the output splice.</p>
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15 pages, 5334 KiB  
Technical Note
The Design and Performance Evaluation of a 1550 nm All-Fiber Dual-Polarization Coherent Doppler Lidar for Atmospheric Aerosol Measurements
by Ronghua Yu, Qichao Wang, Guangyao Dai, Xiangcheng Chen, Chao Ren, Jintao Liu, Dongrui Li, Xitao Wang, Haishuai Cao, Shengguang Qin and Songhua Wu
Remote Sens. 2023, 15(22), 5336; https://doi.org/10.3390/rs15225336 - 13 Nov 2023
Cited by 2 | Viewed by 1969
Abstract
A 1550 nm all-fiber dual-polarization coherent Doppler lidar (DPCDL) was constructed to measure the depolarization ratio of atmospheric aerosols. In lidar systems, the polarization state of the laser source is typically required to be that of linearly parallel polarization. However, due to the [...] Read more.
A 1550 nm all-fiber dual-polarization coherent Doppler lidar (DPCDL) was constructed to measure the depolarization ratio of atmospheric aerosols. In lidar systems, the polarization state of the laser source is typically required to be that of linearly parallel polarization. However, due to the influence of the fiber-optical transmission and the large-mode field output of the telescope, the laser polarization state changes. Hence, a polarizer was mounted to the emitting channel of the telescope to eliminate the depolarization effect. A fiber-optical polarization beam splitter divided the backscattered light into components with parallel and perpendicular polarization. The DPCDL used two coherent channels to receive each of these two polarization components. A calibration procedure was designed for the depolarization ratio to determine the differences in gain and non-responsiveness in the two polarization channels. The calibration factor was found to be 1.13. Additionally, the systematic error and the measured random error of the DPCDL were estimated to evaluate the performance of the system. The DPCDL’s systematic error was found to be about 0.0024, and the standard deviation was lower than 0.0048. The Allan deviations of a 1-min averaging window with a low SNR of 19 dB and a high SNR of 27 dB were 0.0104 and 0.0031, respectively. The random errors at different measured heights were mainly distributed below 0.015. To confirm the authenticity of the atmospheric depolarization ratio measured with the DPCDL, two field observations were conducted with the use of a co-located DPCDL and micro-pulse polarization lidar to perform a comparison. The results showed that the correlation coefficients of the aerosol depolarization ratios were 0.73 and 0.77, respectively. Moreover, the two continuous observations demonstrated the robustness and stability of the DPCDL. The depolarization ratios were detected in different weather conditions. Full article
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<p>Optical layout of the all-fiber dual-polarization coherent Doppler lidar. RF cable, radio-frequency cable; AOM, acousto-optic modulator; LO, local oscillator; FBS, fiber beam splitter; FPBS, fiber polarization beam splitter; BD, balanced detector; ADC, analog–digital converter; FFT, fast Fourier transform; FPGA, field-programmable gate array.</p>
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<p>Channel calibration data with a mean of 1.13 and a standard deviation of 0.017.</p>
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<p>Systematic error of the DPCDL: systematic error with a mean value of 0.0024 and a standard deviation of 0.0009. There was a fluctuation below 0.0048 with a 1 min averaging window.</p>
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<p>Allan deviation of the measurements that were recorded with a low SNR of 19 dB and a high SNR of 27 dB on the 20th of March. The Allan deviation gradually decreased with the increase in the integration time, and the Allan deviation with the low SNR was higher than that with the high SNR. The Allan deviations with a 1 min averaging window at the low SNR and the high SNR were 0.0104 and 0.0031, respectively.</p>
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<p>The modeled random error and the random error of observations on (<b>a</b>) March 20, (<b>b</b>) March 21, (<b>c</b>) March 28, and (<b>d</b>) March 29.</p>
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<p>The first 31-h observations with the co-located DPCDL and MPL: (<b>a</b>) The time series of the depolarization ratios from the DPCDL with a time resolution of 2.4 s. (<b>b</b>) The time series of the depolarization ratios from the MPL with a time resolution of 15 min.</p>
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<p>The first 31-h observations with the co-located DPCDL and MPL: (<b>a</b>) A scatter diagram of the depolarization ratio measurements of the DPCDL and MPL with a correlation coefficient of 0.73 and a slope of 0.42. (<b>b</b>) The depolarization ratio profile from the DPCDL and MPL. The data from the period of 16:00 to 18:00 on the 11th of March are used.</p>
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<p>The second 11-h observations with the co-located DPCDL and MPL: (<b>a</b>) The time series of the depolarization ratios measured with the DPCDL. (<b>b</b>) The time series of the depolarization ratios measured with the MPL.</p>
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<p>The second 11-h observations with the co-located DPCDL and MPL: (<b>a</b>) A scatter diagram of the depolarization ratio measurements with the DPCDL and MPL, with a correlation coefficient of 0.77 and a slope of 0.93. (<b>b</b>) The depolarization ratio profiles from the DPCDL and MPL. The data from the period of 06:15 to 17:00 on the 15th of March are used.</p>
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<p>Time plot of the DPCDL’s integral power of the noise spectrum with a 1 min averaging window.</p>
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<p>The first-observation line plots of the depolarization ratios obtained with the DPCDL and MPL at 400 m, 600 m, and 800 m: (<b>a</b>) The line plot at 400 m. (<b>b</b>) The line plot at 600 m. (<b>c</b>) The line plot at 800 m.</p>
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<p>The second-observation line plots of the depolarization ratios obtained with the DPCDL and MPL at 400 m, 600 m, and 800 m: (<b>a</b>) The line plot at 400 m. (<b>b</b>) The line plot at 600 m. (<b>c</b>) The line plot at 800 m.</p>
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13 pages, 3463 KiB  
Article
Characterization of Laser Frequency Stability by Using Phase-Sensitive Optical Time-Domain Reflectometry
by Danil M. Bengalskii, Danil R. Kharasov, Edgard A. Fomiryakov, Sergei P. Nikitin, Oleg E. Nanii and Vladimir N. Treshchikov
Photonics 2023, 10(11), 1234; https://doi.org/10.3390/photonics10111234 - 4 Nov 2023
Cited by 2 | Viewed by 2261
Abstract
A new method to measure laser phase noise and frequency stability based on the phase-sensitive optical time-domain reflectometry is proposed. In this method, the laser under test is utilized in a phase-sensitive optical time-domain reflectometer, which employs phase-modulated dual pulses and acts as [...] Read more.
A new method to measure laser phase noise and frequency stability based on the phase-sensitive optical time-domain reflectometry is proposed. In this method, the laser under test is utilized in a phase-sensitive optical time-domain reflectometer, which employs phase-modulated dual pulses and acts as an optical frequency discriminator: laser frequency fluctuations are deduced from the analysis of the reflectometer data corresponded to phase fluctuations along the vibration-damped and thermally insulated fiber spool. The measurement results were validated by comparison with direct optical heterodyning of the tested and more coherent reference lasers. The use of dual pulses generated by an acousto-optic modulator makes it easy to adjust the time delay during measurements, which distinguishes favorably the proposed method from standard optical frequency discriminators. The method is suitable for testing highly coherent lasers and qualifying their parameters such as linear drift rate, random frequency walk rate, white frequency noise (which is directly related to laser instantaneous linewidth), and flicker noise level. Full article
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Figure 1

Figure 1
<p>Schematic of an experimental setup for testing the concept of measuring the frequency variation in single-frequency lasers.</p>
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<p>(<b>a</b>–<b>c</b>): Waterfalls of the serial phase differences in rad, obtained by DP-φOTDR with RIO as a laser source for different values of pulse duration <math display="inline"><semantics> <mrow> <msub> <mi>τ</mi> <mi>p</mi> </msub> </mrow> </semantics></math> and time delay <math display="inline"><semantics> <mrow> <msub> <mi>τ</mi> <mi>d</mi> </msub> </mrow> </semantics></math>, where the horizontal axes correspond to coordinates along the fiber and the vertical axes correspond to time. (<b>d</b>–<b>f</b>): Corresponded averages along the fiber phase differences (left <span class="html-italic">Y</span>-axis), white phase noise (purple lines, left <span class="html-italic">Y</span>-axis) calculated by applying high-pass filter with 10 Hz cut-off frequency to phase difference data, and the laser frequency drift in MHz (black lines, right <span class="html-italic">Y</span>-axis) calculated using (7) and additionally applying low-pass filter with 10 Hz cut-off frequency. Notice that in (<b>d</b>–<b>f</b>), left <span class="html-italic">Y</span>-axes are fixed; meanwhile, right <span class="html-italic">Y</span>-axes are different because of the division by <math display="inline"><semantics> <mrow> <msub> <mi>τ</mi> <mi>d</mi> </msub> </mrow> </semantics></math> in conversion Formula (7).</p>
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<p>The dependencies of RMS of white phase noise for different combinations of pulse duration and time delay <math display="inline"><semantics> <mrow> <msub> <mi>s</mi> <mi>Φ</mi> </msub> <mo>=</mo> <msub> <mi>s</mi> <mi>Φ</mi> </msub> <mo stretchy="false">(</mo> <msub> <mi>τ</mi> <mi>p</mi> </msub> <mo>,</mo> <msub> <mi>τ</mi> <mi>d</mi> </msub> <mo stretchy="false">)</mo> </mrow> </semantics></math>: (<b>a</b>) for different <math display="inline"><semantics> <mrow> <msub> <mi>τ</mi> <mi>p</mi> </msub> </mrow> </semantics></math> and fixed <math display="inline"><semantics> <mrow> <msub> <mi>τ</mi> <mi>d</mi> </msub> </mrow> </semantics></math> = 1200 ns; and (<b>b</b>) for different <math display="inline"><semantics> <mrow> <msub> <mi>τ</mi> <mi>d</mi> </msub> </mrow> </semantics></math> and fixed <math display="inline"><semantics> <mrow> <msub> <mi>τ</mi> <mi>p</mi> </msub> </mrow> </semantics></math> = 200 ns. Red rectangles correspond to the experimental data, black dots correspond to the simulation results, and blue lines fit <math display="inline"><semantics> <mrow> <msub> <mi>s</mi> <mi>Φ</mi> </msub> <mo>=</mo> <msqrt> <mrow> <mn>2</mn> <mi>π</mi> <mi mathvariant="sans-serif">Δ</mi> <msub> <mi>ν</mi> <mi>L</mi> </msub> <mrow> <mrow> <msub> <mi>τ</mi> <mi>d</mi> </msub> <msup> <mrow/> <mn>2</mn> </msup> </mrow> <mo>/</mo> <mrow> <mfenced> <mrow> <msub> <mi>τ</mi> <mi>d</mi> </msub> <mo>+</mo> <msub> <mi>τ</mi> <mi>p</mi> </msub> <mo>/</mo> <mn>2</mn> </mrow> </mfenced> </mrow> </mrow> </mrow> </msqrt> </mrow> </semantics></math>.</p>
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<p>The DP-φOTDR Allan deviations for the RIO laser at different delay times <math display="inline"><semantics> <mrow> <msub> <mi>τ</mi> <mi>d</mi> </msub> </mrow> </semantics></math> and probing frequencies <span class="html-italic">f<sub>p</sub></span>. The dots correspond to the experimental data, and the solid and dashed curves correspond to the data obtained from the numerical simulations. The black dotted lines correspond to Formula (9) for different combinations <math display="inline"><semantics> <mrow> <msub> <mi>τ</mi> <mi>d</mi> </msub> </mrow> </semantics></math> and <span class="html-italic"><span class="underline">f<sub>p</sub></span></span> at <math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">Δ</mi> <msub> <mi>ν</mi> <mi>L</mi> </msub> </mrow> </semantics></math> = 2 kHz, and black dashed line describes linear frequency drift with a rate of a = 70 kHz/s.</p>
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<p>(<b>a</b>) Waterfall of the phase difference obtained by DP-φOTDR with ITLA as a laser source; the horizontal axis corresponds to coordinates along the fiber, and the vertical axis corresponds to time; (<b>b</b>) the laser carrier frequency drift measured with DP-φOTDR (purple line) and optical heterodyning with RIO as the reference laser (black line); (<b>c</b>) Allan deviations of laser carrier frequency measured with DP-φOTDR (purple line) and optical heterodyning method (black line); and the dashed line marks the Allan deviation of the random frequency walk with the level <span class="html-italic">S</span><sub>−</sub><sub>2</sub> = 1.2 × 10<sup>12</sup> Hz<sup>3</sup>.</p>
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<p>The DP-φOTDR Allan deviations for different lasers for probe pulse rates <span class="html-italic">f<sub>p</sub></span> = 1 and 8 kHz (right and left sides, respectively): <span class="html-italic">f<sub>p</sub></span> = 1 kHz was used to estimate linear drift rates and random walk levels, and <span class="html-italic">f<sub>p</sub></span> <sub>=</sub> 8 kHz was used to estimate Lorentzian linewidths and flicker noise levels. Approximations: linear drift (dashed lines), random walk (dash-dotted lines), and Lorentzian linewidth with flicker noise (dotted curves).</p>
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