TY - JOUR

T1 - Fast nonlinear Fourier transform algorithm for reconstruction of optical data from nonlinear spectra of the Manakov system

AU - Medvedev, Sergey

AU - Vaseva, Irina

AU - Fedoruk, Mikhail

N1 - Russian Science Foundation (22-11-00287).

PY - 2024/9/4

Y1 - 2024/9/4

N2 - We propose a high-precision algorithm for solving the three-component Gelfand–Levitan–Marchenko equations (GLME) associated with the Manakov system, which describes the behavior of light waves through the optical fibers. The algorithm generalizes the high-order generalized Toeplitz inner-bordering method for solving the two-component GLME associated with the nonlinear Schrödinger equation. Numerical experiments have shown that the proposed algorithm makes it possible to increase the accuracy of solving the GLME associated with Manakov system up to the sixth order.

AB - We propose a high-precision algorithm for solving the three-component Gelfand–Levitan–Marchenko equations (GLME) associated with the Manakov system, which describes the behavior of light waves through the optical fibers. The algorithm generalizes the high-order generalized Toeplitz inner-bordering method for solving the two-component GLME associated with the nonlinear Schrödinger equation. Numerical experiments have shown that the proposed algorithm makes it possible to increase the accuracy of solving the GLME associated with Manakov system up to the sixth order.

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:001300973400007

UR - https://www.mendeley.com/catalogue/f3731dfa-11f7-3243-a509-799776a00a67/

U2 - 10.1364/ol.531316

DO - 10.1364/ol.531316

M3 - Article

C2 - 39146133

VL - 49

SP - 4677

EP - 4680

JO - Optics Letters

JF - Optics Letters

SN - 0146-9592

IS - 16

ER -