Research output: Contribution to journal › Article › peer-review
Fast nonlinear Fourier transform algorithm for reconstruction of optical data from nonlinear spectra of the Manakov system. / Medvedev, Sergey; Vaseva, Irina; Fedoruk, Mikhail.
In: Optics Letters, Vol. 49, No. 16, 04.09.2024, p. 4677-4680.Research output: Contribution to journal › Article › peer-review
}
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 -
ID: 61172175