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Calculation of Light Scattering on a Bragg Grating by Recursion of Transfer Matrices on a Nonuniform Grid. / Gorbenko, N. I.; Il’in, V. P.; Frumin, L. L.
в: Optoelectronics, Instrumentation and Data Processing, Том 55, № 1, 01.01.2019, стр. 32-40.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Calculation of Light Scattering on a Bragg Grating by Recursion of Transfer Matrices on a Nonuniform Grid
AU - Gorbenko, N. I.
AU - Il’in, V. P.
AU - Frumin, L. L.
PY - 2019/1/1
Y1 - 2019/1/1
N2 - The direct problem of light scattering for a fiber optic Bragg grating is considered. The formulation and solution of the problem based on the transfer-matrix method are discussed. A modification of the method is proposed which reduces it to a computationally convenient universal recursive algorithm similar to the Thomas algorithm. Using the finite volume method in the coupled-mode approximation, the elements of transfer matrices were calculated with local third-order accuracy in coordinate on a nonuniform computational grid. Numerical calculations for the direct scattering problem for a Bragg grating with apodization and nonlinear chirp were performed using the recursive algorithm. Numerical simulations confirmed the significant increase in the accuracy of calculations when solving the scattering problem on a nonuniform grid.
AB - The direct problem of light scattering for a fiber optic Bragg grating is considered. The formulation and solution of the problem based on the transfer-matrix method are discussed. A modification of the method is proposed which reduces it to a computationally convenient universal recursive algorithm similar to the Thomas algorithm. Using the finite volume method in the coupled-mode approximation, the elements of transfer matrices were calculated with local third-order accuracy in coordinate on a nonuniform computational grid. Numerical calculations for the direct scattering problem for a Bragg grating with apodization and nonlinear chirp were performed using the recursive algorithm. Numerical simulations confirmed the significant increase in the accuracy of calculations when solving the scattering problem on a nonuniform grid.
KW - fiber Bragg grating
KW - nonuniform grid
KW - recursive algorithm
KW - scattering problem
KW - transfer-matrix method
UR - http://www.scopus.com/inward/record.url?scp=85063985025&partnerID=8YFLogxK
U2 - 10.3103/S8756699019010060
DO - 10.3103/S8756699019010060
M3 - Article
AN - SCOPUS:85063985025
VL - 55
SP - 32
EP - 40
JO - Optoelectronics, Instrumentation and Data Processing
JF - Optoelectronics, Instrumentation and Data Processing
SN - 8756-6990
IS - 1
ER -
ID: 19354938