CN110445534B - Method, system and equipment for determining crosstalk value of multi-core optical fiber - Google Patents
Method, system and equipment for determining crosstalk value of multi-core optical fiber Download PDFInfo
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Abstract
The application discloses a method for determining a crosstalk value of a multi-core optical fiber, which comprises the following steps: acquiring a parameter value of the multi-core optical fiber; calculating the coupling coefficient between the fiber cores of the multi-core optical fiber according to the parameter values; dividing the multi-core optical fiber into optical fiber sections with preset lengths; calculating a first crosstalk value of each optical fiber section according to the coupling coefficient and the parameter value; a first crosstalk value of the multi-core optical fiber is determined according to the first crosstalk value of each optical fiber section. Compared with the crosstalk value calculation by using a discrete variation model, the crosstalk value does not need to be regarded as a random variable, but is regarded as a value linearly accumulated along the length of the optical fiber, the crosstalk value only increases in a phase matching area, the crosstalk value hardly changes at a non-phase matching point, and the accuracy of crosstalk value calculation is greatly improved when the multicore fiber with a non-constant bending rate and bending radius is faced. The application also provides a system, equipment and readable storage medium for determining the crosstalk value of the multi-core optical fiber, and the system, the equipment and the readable storage medium have the beneficial effects.
Description
Technical Field
The present application relates to the field of optical fibers, and in particular, to a method, a system, a device, and a readable storage medium for determining a crosstalk value of a multi-core optical fiber.
Background
With the rapid growth of data services such as cloud computing, online games, internet of things and the like, the internet traffic is continuously increasing at a rate of 23% per year, and the global IP traffic is expected to reach 3.3ZB per year by 2021. The growing trend of optical networks as backbone transport networks of the internet puts higher demands on their transmission bandwidth.
However, in an optical network environment using an optical Fiber as a main propagation medium, with the modern communication technology making full use of physical dimensions such as time, frequency, wavelength, polarization and the like in an optical Fiber communication system, the experimental transmission capacity of a Single Mode Fiber (SMF) has gradually approached the nonlinear shannon theoretical limit of 100 Tbit/s. A multi-core optical fiber technology based on Space Division Multiplexing (SDM) can greatly expand communication capacity by using the last remaining physical dimension (spatial dimension) in optical fiber communication, and has been widely studied.
So-called multicore fibers are fibers having a plurality of cores in a common cladding, and various Space Division Multiplexing (SDM) fibers, such as weak-coupling multicore fibers (WC-MCF), strong-coupling multicore fibers (SC-MCF), few-mode multicore fibers (FM-MCF), and the like, have been proposed. In the multi-core optical fiber, since the spatial physical distance of the fiber cores is very small, optical signals in different fiber cores affect each other to generate coupling crosstalk, which seriously affects the optical communication quality.
The coupling mode theory provides a theoretical basis for researching the coupling crosstalk among the fiber cores, and finds that the power coupling among the fiber cores in the ideal multi-core fiber is in a periodic oscillation characteristic, but the random longitudinal disturbance caused by bending and twisting of the fiber should be considered in the actual multi-core fiber.
Therefore, how to accurately determine the crosstalk value of the multi-core optical fiber is a technical problem that needs to be solved by those skilled in the art at present.
Disclosure of Invention
The application aims to provide a method, a system, equipment and a readable storage medium for determining a crosstalk value of a multi-core optical fiber, which are used for accurately determining the crosstalk value of the multi-core optical fiber.
In order to solve the above technical problem, the present application provides a method for determining a crosstalk value of a multi-core optical fiber, including:
acquiring a parameter value of the multi-core optical fiber;
calculating the coupling coefficient between the fiber cores of the multi-core optical fiber according to the parameter value;
dividing the multi-core optical fiber into optical fiber sections with preset lengths;
calculating a first crosstalk value of each optical fiber section according to the coupling coefficient and the parameter value;
and determining a first crosstalk value of the multi-core optical fiber according to the first crosstalk value of each optical fiber section.
Optionally, calculating a first crosstalk value of each optical fiber segment according to the coupling coefficient and the parameter value includes:
Wherein, PmiFor the power of the i-th coupled core segment, AmiIs the amplitude of the i-th coupled core segment, k is the coupling coefficient, q isiFor the corrected coupling coefficient, d is the predetermined length, AniAmplitude of the i-th incident core segment, PniIs the power of the ith incident core segment.
Optionally, determining the first crosstalk value of the multi-core optical fiber according to the first crosstalk value of each optical fiber segment includes:
and XT is a first crosstalk value of the multi-core optical fiber, and N is the total number of the optical fiber sections.
Optionally, before dividing the multi-core fiber into fiber segments of preset lengths, the method further includes:
receiving input set values and second crosstalk values corresponding to the set values;
calculating a third crosstalk value by using a discrete transformation model;
and selecting a second crosstalk value with the minimum difference value with the third crosstalk value as an optimal crosstalk value, and taking a set value corresponding to the optimal crosstalk value as the preset length.
The present application further provides a system for determining a crosstalk value of a multi-core optical fiber, including:
the acquisition module is used for acquiring the parameter value of the multi-core optical fiber;
the first calculation module is used for calculating the coupling coefficient between the fiber cores of the multi-core optical fiber according to the parameter value;
the dividing module is used for dividing the multi-core optical fiber into optical fiber sections with preset lengths;
the second calculation module is used for calculating a first crosstalk value of each optical fiber section according to the coupling coefficient and the parameter value;
and the determining module is used for determining a first crosstalk value of the multi-core optical fiber according to the first crosstalk value of each optical fiber section.
Optionally, the second computing module includes:
a first calculation submodule for calculating according to a formulaCalculating the power P of the ith coupled core segmentmi;
A second calculation submodule for calculating according to a formulaCalculating a first crosstalk value XT of an ith optical fiber sectioni;
Wherein, PmiFor the power of the i-th coupled core segment, AmiIs the amplitude of the i-th coupled core segment, k is the coupling coefficient, q isiFor the corrected coupling coefficient, d is the predetermined length, AniAmplitude of the i-th incident core segment, PniIs the power of the ith incident core segment.
Optionally, the determining module includes:
a third calculation submodule for calculating according to a formulaCalculating a first crosstalk value of the multi-core optical fiber;
and XT is a first crosstalk value of the multi-core optical fiber, and N is the total number of the optical fiber sections.
Optionally, the method further includes:
the receiving module is used for receiving input set values and second crosstalk values corresponding to the set values;
the third calculation module is used for calculating a third crosstalk value by utilizing the discrete transformation model;
and the selecting module is used for selecting the second crosstalk value with the minimum difference value with the third crosstalk value as the optimal crosstalk value and taking the set value corresponding to the optimal crosstalk value as the preset length.
The present application further provides a multicore fiber crosstalk value determining device, including:
a memory for storing a computer program;
a processor for implementing the steps of the method for determining the crosstalk value of the multi-core optical fiber according to any one of the above embodiments when executing the computer program.
The present application further provides a readable storage medium having stored thereon a computer program which, when being executed by a processor, implements the steps of the method for determining a crosstalk value of a multi-core optical fiber according to any of the above-mentioned methods.
The method for determining the crosstalk value of the multi-core optical fiber comprises the following steps: acquiring a parameter value of the multi-core optical fiber; calculating the coupling coefficient between the fiber cores of the multi-core optical fiber according to the parameter values; dividing the multi-core optical fiber into optical fiber sections with preset lengths; calculating a first crosstalk value of each optical fiber section according to the coupling coefficient and the parameter value; and determining a first crosstalk value of the multi-core optical fiber according to the first crosstalk value of each optical fiber section.
According to the technical scheme, the multi-core optical fiber is divided into optical fiber sections with preset lengths, then the first crosstalk value of each optical fiber section is calculated according to the coupling coefficient and the parameter value, and finally the first crosstalk value of the multi-core optical fiber is determined according to the first crosstalk value of each optical fiber section. The application also provides a system, equipment and a readable storage medium for determining the crosstalk value of the multi-core optical fiber, which have the beneficial effects and are not repeated herein.
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In order to more clearly illustrate the embodiments of the present application or the technical solutions in the prior art, the drawings needed to be used in the description of the embodiments or the prior art will be briefly introduced below, it is obvious that the drawings in the following description are only embodiments of the present application, and for those skilled in the art, other drawings can be obtained according to the provided drawings without creative efforts.
Fig. 1 is a flowchart of a method for determining a crosstalk value of a multi-core optical fiber according to an embodiment of the present application;
fig. 2 is a flowchart of another method for determining a crosstalk value of a multi-core optical fiber according to an embodiment of the present application;
fig. 3 is a block diagram of a system for determining crosstalk values of a multi-core optical fiber according to an embodiment of the present disclosure;
fig. 4 is a block diagram of another system for determining crosstalk values of multi-core optical fibers according to an embodiment of the present application;
fig. 5 is a structural diagram of a device for determining a crosstalk value of a multi-core optical fiber according to an embodiment of the present application.
Detailed Description
The core of the application is to provide a method, a system, equipment and a readable storage medium for determining a crosstalk value of a multi-core optical fiber, which are used for accurately determining the crosstalk value of the multi-core optical fiber.
In order to make the objects, technical solutions and advantages of the embodiments of the present application clearer, the technical solutions in the embodiments of the present application will be clearly and completely described below with reference to the drawings in the embodiments of the present application, and it is obvious that the described embodiments are some embodiments of the present application, but not all embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present application.
Referring to fig. 1, fig. 1 is a flowchart of a method for determining a crosstalk value of a multi-core optical fiber according to an embodiment of the present disclosure.
The method specifically comprises the following steps:
s101: acquiring a parameter value of the multi-core optical fiber;
based on the prior art, because the space physical distance of the fiber cores is very small, the optical signals in different fiber cores influence each other to generate coupling crosstalk, which can seriously affect the optical communication quality; although the coupling mode theory provides a theoretical basis for researching the coupling crosstalk among the fiber cores and finds that the power coupling among the fiber cores in the ideal multi-core fiber is in a periodic oscillation characteristic, the random longitudinal disturbance caused by bending and twisting of the fiber should be considered in the actual multi-core fiber; therefore, the present application provides a method for determining a crosstalk value of a multi-core optical fiber, which is used to solve the above problems;
alternatively, the parameter values of the multi-core optical fiber mentioned herein may specifically include, but are not limited to, the amplitude of the electric field in the core, the transmission distance, the undisturbed propagation constant, the effective refractive index of the fundamental mode, the bending radius, the core pitch, the phase, the twist rate, and the like.
S102: calculating the coupling coefficient between the fiber cores of the multi-core optical fiber according to the parameter values;
s103: dividing the multi-core optical fiber into optical fiber sections with preset lengths;
after calculating the coupling coefficient between the fiber cores of the multi-core fiber according to the parameter values, a corrected coupling mode equation can be obtained:
wherein A isnAnd AmRespectively representing the amplitude of an electric field in an incident fiber core n and a coupling fiber core m, wherein z is a transmission distance, and k is a coupling coefficient between the fiber cores;
βeq,nand betaeq,mEquivalent propagation constants, beta, of the incident core n and the coupling core m, respectivelyeq,nCan be according to the formulaCalculating beta in the formulanIs a propagation constant, beta, of no disturbancen=neff2π/λ。neffIs the effective refractive index of the fundamental mode, RbIs a bending radius, DnmIs the core pitch. Thetan(z) is the transmission distance z of the incident core nGamma is the twist rate; beta is aeq,mAnd betaeq,nThe calculation methods are consistent and are not described in detail.
The method divides the optical fiber into N sections by using the segmentation idea, wherein N is z/d, the length of each section is a preset length d, and when the preset length d is sufficiently small, the difference value delta beta of equivalent propagation constants of the coupling fiber core and the incident fiber core on the section can be considered to benm=βeq,n-βeq,mIs constant, so the above modified coupling mode equation (1) can be simplified as:
s104: calculating a first crosstalk value of each optical fiber section according to the coupling coefficient and the parameter value;
on the basis of the simplified coupling mode equation (2), it can be determined that the coupling mode equation corresponding to the ith fiber core segment is:
on this basis, the first crosstalk value of each optical fiber segment is calculated according to the coupling coefficient and the parameter value, which may specifically be:
wherein, PmiFor the power of the i-th coupled core segment, AmiIs the amplitude of the ith coupled core segment, k is the coupling coefficient, qiFor the corrected coupling coefficient, d is a predetermined length, AniAmplitude of the i-th incident core segment, PniIs the ith incidenceThe power of the core segment;
a as referred to hereinmiCan be according to the formulaPerforming a calculation of qiCan be according to the formulaPerforming a calculation of wherei=(βeq,m,i-βeq,n,i)/2,βeq,n,iIs the equivalent propagation constant, β, of the i-th incident core segment neq,m,iIs the equivalent propagation constant of the ith coupled core segment m.
S105: a first crosstalk value of the multi-core optical fiber is determined according to the first crosstalk value of each optical fiber section.
Optionally, the first crosstalk value of the multi-core fiber is determined according to the first crosstalk value of each fiber segment, which may specifically be:
wherein XT is a first crosstalk value of the multi-core fiber, and N is the total number of the fiber segments.
Based on the technical scheme, according to the method for determining the crosstalk value of the multi-core optical fiber, the multi-core optical fiber is divided into optical fiber sections with preset lengths, then the first crosstalk value of each optical fiber section is calculated according to the coupling coefficient and the parameter value, and finally the first crosstalk value of the multi-core optical fiber is determined according to the first crosstalk value of each optical fiber section.
The crosstalk value calculated by the method is related to the value of the preset length d, so that the optimal related length can be found according to the crosstalk value obtained by actual measurement, and an optimal crosstalk calculation model is further established. With respect to step S103 of the previous embodiment, before dividing the multi-core fiber into fiber segments of preset lengths, a step shown in fig. 2 may be further included, which is described below with reference to fig. 2.
Referring to fig. 2, fig. 2 is a flowchart of another method for determining a crosstalk value of a multi-core optical fiber according to an embodiment of the present application.
The method specifically comprises the following steps:
s201: receiving input set values and second crosstalk values corresponding to the set values;
s202: calculating a third crosstalk value by using a discrete transformation model;
s203: and selecting the second crosstalk value with the minimum difference value with the third crosstalk value as an optimal crosstalk value, and taking a set value corresponding to the optimal crosstalk value as a preset length.
Based on the technical scheme, the third crosstalk value calculated by using the discrete transformation model is used as a standard value, then the second crosstalk value with the minimum difference value with the third crosstalk value is selected as the optimal crosstalk value, and the set value corresponding to the optimal crosstalk value is used as the preset length, so that the calculation of the first crosstalk value is more accurate.
Referring to fig. 3, fig. 3 is a structural diagram of a system for determining a crosstalk value of a multi-core optical fiber according to an embodiment of the present disclosure.
The system may include:
an obtaining module 100, configured to obtain a parameter value of a multi-core optical fiber;
a first calculating module 200, configured to calculate a coupling coefficient between cores of the multicore fiber according to the parameter value;
a dividing module 300, configured to divide the multi-core fiber into fiber segments of preset lengths;
a second calculating module 400, configured to calculate a first crosstalk value of each optical fiber segment according to the coupling coefficient and the parameter value;
a determining module 500 configured to determine a first crosstalk value of the multi-core optical fiber according to the first crosstalk value of each optical fiber segment.
Referring to fig. 4, fig. 4 is a structural diagram of another system for determining a crosstalk value of a multi-core optical fiber according to an embodiment of the present application.
The second calculation module 400 may include:
a first calculation submodule for calculating according to a formulaCalculating the power P of the ith coupled core segmentmi;
A second calculation submodule for calculating according to a formulaCalculating a first crosstalk value of the ith optical fiber section;
wherein, PmiFor the power of the ith coupled core segment, AmiIs the amplitude of the ith coupled core segment, k is the coupling coefficient, qiFor the corrected coupling coefficient, d is a predetermined length, AniAmplitude, P, of the ith incident core segmentniThe power of the ith incident core segment.
The determining module 500 may include:
a third calculation submodule for calculating according to a formulaCalculating a first crosstalk value of the multi-core optical fiber;
wherein XT is a first crosstalk value of the multi-core fiber, and N is the total number of the fiber segments.
The system may further comprise:
the receiving module is used for receiving input set values and second crosstalk values corresponding to the set values;
the third calculation module is used for calculating a third crosstalk value by utilizing the discrete transformation model;
and the selection module is used for selecting the second crosstalk value with the minimum difference value with the third crosstalk value as the optimal crosstalk value and taking the set value corresponding to the optimal crosstalk value as the preset length.
Since the embodiment of the system part and the embodiment of the method part correspond to each other, please refer to the description of the embodiment of the method part for the embodiment of the system part, and details are not repeated here.
Referring to fig. 5, fig. 5 is a structural diagram of a multi-core optical fiber crosstalk value determining apparatus according to an embodiment of the present application.
The multicore fiber crosstalk value determining apparatus 600 may generate relatively large differences due to different configurations or performances, and may include one or more processors (CPUs) 622 (e.g., one or more processors) and a memory 632, one or more storage media 630 (e.g., one or more mass storage devices) storing applications 642 or data 644. Memory 632 and storage medium 630 may be, among other things, transient or persistent storage. The program stored on the storage medium 630 may include one or more modules (not shown), each of which may include a sequence of instructions operating on the device. Still further, the central processor 622 may be configured to communicate with the storage medium 630, and execute a series of instruction operations in the storage medium 630 on the multi-core optical fiber crosstalk value determining apparatus 600.
The multi-core fiber crosstalk value determining apparatus 600 may further include one or more power supplies 626, one or more wired or wireless network interfaces 650, one or more input-output interfaces 658, and/or one or more operating systems 641, such as Windows Server, Mac OS XTM, UnixTM, LinuxTM, FreeBSDTM, etc.
The steps in the method for determining a multicore fiber crosstalk value described in fig. 1 to 2 above are implemented by a multicore fiber crosstalk value determination device based on the structure shown in fig. 5.
It can be clearly understood by those skilled in the art that, for convenience and simplicity of description, the specific working processes of the system, the apparatus, and the module described above may refer to the corresponding processes in the foregoing method embodiments, and are not described herein again.
In the several embodiments provided in the present application, it should be understood that the disclosed apparatus, device and method may be implemented in other ways. For example, the above-described apparatus embodiments are merely illustrative, and for example, a division of modules is merely a division of logical functions, and an actual implementation may have another division, for example, a plurality of modules or components may be combined or integrated into another system, or some features may be omitted, or not executed. In addition, the shown or discussed mutual coupling or direct coupling or communication connection may be an indirect coupling or communication connection through some interfaces, devices or modules, and may be in an electrical, mechanical or other form.
Modules described as separate parts may or may not be physically separate, and parts displayed as modules may or may not be physical modules, may be located in one place, or may be distributed on a plurality of network modules. Some or all of the modules may be selected according to actual needs to achieve the purpose of the solution of this embodiment.
In addition, functional modules in the embodiments of the present application may be integrated into one processing module, or each of the modules may exist alone physically, or two or more modules are integrated into one module. The integrated module can be realized in a hardware mode, and can also be realized in a software functional module mode.
The integrated module, if implemented in the form of a software functional module and sold or used as a separate product, may be stored in a computer readable storage medium. Based on such understanding, the technical solution of the present application may be substantially implemented or contributed to by the prior art, or all or part of the technical solution may be embodied in a software product, which is stored in a storage medium and includes instructions for causing a computer device (which may be a personal computer, a function calling device, or a network device) to execute all or part of the steps of the method of the embodiments of the present application. And the aforementioned storage medium includes: various media capable of storing program codes, such as a usb disk, a removable hard disk, a Read-Only Memory (ROM), a Random Access Memory (RAM), a magnetic disk, or an optical disk.
The method, the system, the device and the readable storage medium for determining the crosstalk value of the multi-core optical fiber provided by the present application are described in detail above. The principles and embodiments of the present application are explained herein using specific examples, which are provided only to help understand the method and the core idea of the present application. It should be noted that, for those skilled in the art, without departing from the principle of the present application, the present application can also make several improvements and modifications, and those improvements and modifications also fall into the protection scope of the claims of the present application.
It is further noted that, in the present specification, relational terms such as first and second, and the like are used solely to distinguish one entity or action from another entity or action without necessarily requiring or implying any actual such relationship or order between such entities or actions. Also, the terms "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or apparatus. Without further limitation, an element defined by the phrase "comprising an … …" does not exclude the presence of other identical elements in a process, method, article, or apparatus that comprises the element.
Claims (6)
1. A method for determining a crosstalk value of a multi-core optical fiber is characterized by comprising the following steps:
acquiring a parameter value of the multi-core optical fiber;
calculating the coupling coefficient between the fiber cores of the multi-core optical fiber according to the parameter value;
dividing the multi-core optical fiber into optical fiber sections with preset lengths;
calculating a first crosstalk value of each optical fiber section according to the coupling coefficient and the parameter value;
determining a first crosstalk value of the multi-core optical fiber according to the first crosstalk value of each optical fiber section;
wherein, the calculating the first crosstalk value of each optical fiber section according to the coupling coefficient and the parameter value comprises:
Wherein, PmiFor the power of the i-th coupled core segment, AmiIs the amplitude of the i-th coupled core segment, k is the coupling coefficient, q isiFor the corrected coupling coefficient, d is the predetermined length, AniAmplitude of the i-th incident core segment, PniThe power of the ith incident core segment;
wherein the determining a first crosstalk value of the multi-core optical fiber according to the first crosstalk value of each optical fiber segment includes:
and XT is a first crosstalk value of the multi-core optical fiber, and N is the total number of the optical fiber sections.
2. The method of claim 1, further comprising, prior to dividing the multi-core optical fiber into preset length fiber segments:
receiving input set values and second crosstalk values corresponding to the set values;
calculating a third crosstalk value by using a discrete transformation model;
and selecting a second crosstalk value with the minimum difference value with the third crosstalk value as an optimal crosstalk value, and taking a set value corresponding to the optimal crosstalk value as the preset length.
3. A system for multi-core fiber crosstalk value determination, comprising:
the acquisition module is used for acquiring the parameter value of the multi-core optical fiber;
the first calculation module is used for calculating the coupling coefficient between the fiber cores of the multi-core optical fiber according to the parameter value;
the dividing module is used for dividing the multi-core optical fiber into optical fiber sections with preset lengths;
the second calculation module is used for calculating a first crosstalk value of each optical fiber section according to the coupling coefficient and the parameter value;
a determining module, configured to determine a first crosstalk value of the multi-core optical fiber according to the first crosstalk value of each optical fiber segment;
wherein the second computing module comprises:
a first calculation submodule for calculating according to a formulaCalculating the power P of the ith coupled core segmentmi;
A second calculation submodule for calculating according to a formulaCalculating a first crosstalk value XT of an ith optical fiber sectioni;
Wherein, PmiFor the power of the i-th coupled core segment, AmiIs the amplitude of the i-th coupled core segment, k is the coupling coefficient, q isiFor the corrected coupling coefficient, d is the predetermined length, AniAmplitude of the i-th incident core segment, PniThe power of the ith incident core segment;
wherein the determining module comprises:
third calculation submoduleBlock for use according to a formulaCalculating a first crosstalk value of the multi-core optical fiber;
and XT is a first crosstalk value of the multi-core optical fiber, and N is the total number of the optical fiber sections.
4. The system of claim 3, further comprising:
the receiving module is used for receiving input set values and second crosstalk values corresponding to the set values;
the third calculation module is used for calculating a third crosstalk value by utilizing the discrete transformation model;
and the selecting module is used for selecting the second crosstalk value with the minimum difference value with the third crosstalk value as the optimal crosstalk value and taking the set value corresponding to the optimal crosstalk value as the preset length.
5. A multicore optical fiber crosstalk value determination apparatus, comprising:
a memory for storing a computer program;
a processor for implementing the steps of the method for multicore fiber crosstalk value determination as claimed in any one of claims 1 to 2 when executing the computer program.
6. A computer-readable storage medium, having stored thereon a computer program which, when being executed by a processor, carries out the steps of the method for multicore fiber crosstalk value determination as claimed in any one of claims 1 to 2.
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CN112733073A (en) * | 2020-12-30 | 2021-04-30 | 中天通信技术有限公司 | Multi-core optical fiber crosstalk detection method based on coupling power theory |
CN112859329A (en) * | 2021-01-25 | 2021-05-28 | 苏州大学 | Weak-coupling multi-core optical fiber crosstalk calculation method based on segmentation idea |
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CN114647924B (en) * | 2021-12-28 | 2023-03-24 | 苏州大学 | Actual multi-core fiber nonlinear crosstalk calculation model based on segmentation idea |
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