Standard

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.

In: Optoelectronics, Instrumentation and Data Processing, Vol. 55, No. 1, 01.01.2019, p. 32-40.

Research output: Contribution to journal › Article › peer-review

Harvard

Gorbenko, NI, Il’in, VP & Frumin, LL 2019, 'Calculation of Light Scattering on a Bragg Grating by Recursion of Transfer Matrices on a Nonuniform Grid', Optoelectronics, Instrumentation and Data Processing, vol. 55, no. 1, pp. 32-40. https://doi.org/10.3103/S8756699019010060

APA

Gorbenko, N. I., Il’in, V. P., & Frumin, L. L. (2019). Calculation of Light Scattering on a Bragg Grating by Recursion of Transfer Matrices on a Nonuniform Grid. Optoelectronics, Instrumentation and Data Processing, 55(1), 32-40. https://doi.org/10.3103/S8756699019010060

Vancouver

Gorbenko NI, Il’in VP, Frumin LL. Calculation of Light Scattering on a Bragg Grating by Recursion of Transfer Matrices on a Nonuniform Grid. Optoelectronics, Instrumentation and Data Processing. 2019 Jan 1;55(1):32-40. doi: 10.3103/S8756699019010060

Author

Gorbenko, N. I. ; Il’in, V. P. ; Frumin, L. L. / Calculation of Light Scattering on a Bragg Grating by Recursion of Transfer Matrices on a Nonuniform Grid. In: Optoelectronics, Instrumentation and Data Processing. 2019 ; Vol. 55, No. 1. pp. 32-40.

BibTeX

@article{51f53ee465bf404492d1d09db5e2cfb2,
title = "Calculation of Light Scattering on a Bragg Grating by Recursion of Transfer Matrices on a Nonuniform Grid",
abstract = "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.",
keywords = "fiber Bragg grating, nonuniform grid, recursive algorithm, scattering problem, transfer-matrix method",
author = "Gorbenko, {N. I.} and Il{\textquoteright}in, {V. P.} and Frumin, {L. L.}",
year = "2019",
month = jan,
day = "1",
doi = "10.3103/S8756699019010060",
language = "English",
volume = "55",
pages = "32--40",
journal = "Optoelectronics, Instrumentation and Data Processing",
issn = "8756-6990",
publisher = "Allerton Press Inc.",
number = "1",

}

RIS

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