Zobrazeno 1 - 10
of 139
pro vyhledávání: '"Fedoruk, Mikhail"'
Nonlinear signal distortions are one of the primary factors limiting the capacity and reach of optical transmission systems. Currently, several approaches exist for compensating nonlinear distortions, but for practical implementation, algorithms must
Externí odkaz:
http://arxiv.org/abs/2409.20023
We propose a high precision algorithm for solving the Gelfand-Levitan-Marchenko equation. The algorithm is based on the block version of the Toeplitz Inner-Bordering algorithm of Levinson's type. To approximate integrals, we use the high-precision on
Externí odkaz:
http://arxiv.org/abs/2405.00529
We propose a new method for solving the Gelfand-Levitan-Marchenko equation (GLME) based on the block version of the Toeplitz Inner-Bordering (TIB) with an arbitrary point to start the calculation. This makes it possible to find solutions of the GLME
Externí odkaz:
http://arxiv.org/abs/2111.12537
Publikováno v:
In Optical Fiber Technology May 2024 84
Based on the generalized Cayley transform, a family of conservative one-step schemes of the sixth order of accuracy for the Zakharov-Shabat system is constructed. The exponential integrator is a special case. Schemes based on rational approximation a
Externí odkaz:
http://arxiv.org/abs/2011.11380
We propose a new method for finding discrete eigenvalues for the direct Zakharov-Shabat problem, based on moving in the complex plane along the argument jumps of the function $a(\zeta)$, the localization of which does not require great accuracy. It a
Externí odkaz:
http://arxiv.org/abs/2003.02215
A fourth-order multi-exponential scheme is proposed for the Zakharov-Shabat system. The scheme represents a product of 13 exponential operators. The construction of the scheme is based on a fourth-order three-exponential scheme, which contains only o
Externí odkaz:
http://arxiv.org/abs/1909.13228
We propose two finite-difference algorithms of fourth order of accuracy for solving the initial problem of the Zakharov-Shabat system. Both schemes have the exponential form and conserve quadratic invariant of Zakharov-Shabat system. The second schem
Externí odkaz:
http://arxiv.org/abs/1908.11725
In this paper, we numerically investigate the process of beam self-cleaning in a graded-index multimode optical fiber, by using the coupled-mode model. We introduce various models of random linear coupling between spatial modes, including coupling be
Externí odkaz:
http://arxiv.org/abs/1908.07745
We propose a new high-precision algorithm for solving the initial problem for the Zakharov-Shabat system. This method has the fourth order of accuracy and is a generalization of the second order Boffetta-Osborne scheme. It is allowed by our method to
Externí odkaz:
http://arxiv.org/abs/1902.09736