Отрывок: The coefficients c(m), ĉ(m), d(m), d̂(m) are determined uses the main properties of the first and last block rows of the inverse matrix. Namely, multiplying the first row by the system matrix G results in the first row, and multiplying the last row, respectively, gives the last row of the block identity matrix. The result is the following system of equations for the block coefficients c and d: (...
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Поле DC | Значение | Язык |
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dc.contributor.author | Chernyavsky, A.E. | - |
dc.contributor.author | Frumin, L.L. | - |
dc.date.accessioned | 2024-06-18 10:45:06 | - |
dc.date.available | 2024-06-18 10:45:06 | - |
dc.date.issued | 2023-12 | - |
dc.identifier | Dspace\SGAU\20240507\109368 | ru |
dc.identifier.citation | Chernyavsky AE, Frumin LL. Inverse scattering transform algorithm for the Manakov system. Computer Optics 2023; 47(6): 856-862. DOI: 10.18287/2412-6179-CO-1298. | ru |
dc.identifier.uri | https://dx.doi.org/10.18287/2412-6179-CO-1298 | - |
dc.identifier.uri | http://repo.ssau.ru/handle/Zhurnal-Komputernaya-optika/Inverse-scattering-transform-algorithm-for-the-Manakov-system-109368 | - |
dc.description.abstract | A numerical algorithm is described for solving the inverse spectral scattering problem associated with the Manakov model of the vector nonlinear Schrödinger equation. This model of wave processes simultaneously considers dispersion, nonlinearity and polarization effects. It is in demand in nonlinear physical optics and is especially perspective for describing optical radiation propagation through the fiber communication lines. In the presented algorithm, the solution to the inverse scattering problem based on the inversion of a set of nested matrices of the discretized system of Gelfand–Levitan–Marchenko integral equations, using a block version of the Levinson-type Toeplitz bordering algorithm. Numerical tests carried out by comparing calculations with known exact analytical solutions confirm the stability and second order of accuracy of the proposed algorithm. We also give an example of the algorithm application to simulate the collision of a differently polarized pair of Manakov optical vector solitons. | ru |
dc.description.sponsorship | This work was supported by the Russian Science Foundation (RSF Grant No. 22-22-00653). | ru |
dc.language.iso | en | ru |
dc.publisher | Самарский национальный исследовательский университет | ru |
dc.relation.ispartofseries | 47;6 | - |
dc.subject | Manakov system | ru |
dc.subject | polarization | ru |
dc.subject | dispersion | ru |
dc.subject | inverse scattering problem | ru |
dc.subject | algorithm | ru |
dc.title | Inverse scattering transform algorithm for the Manakov system | ru |
dc.type | Article | ru |
dc.textpart | The coefficients c(m), ĉ(m), d(m), d̂(m) are determined uses the main properties of the first and last block rows of the inverse matrix. Namely, multiplying the first row by the system matrix G results in the first row, and multiplying the last row, respectively, gives the last row of the block identity matrix. The result is the following system of equations for the block coefficients c and d: (... | - |
dc.classindex.scsti | 29.33.25, 27.41.19 | - |
Располагается в коллекциях: | Журнал "Компьютерная оптика" |
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2412-6179_2023_47_6_856-862.pdf | 1.18 MB | Adobe PDF | Просмотреть/Открыть |
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