CALCULATION OF LIGHT SCATTERING ON A BRAGG GRATING USING RECURSION OF TRANSFER MATRICES ON A NONUNIFORM GRID
N. I. Gorbenko1,2, V. P. Il'in1,2, L. L. Frumin2,3
1Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, prosp. Akademika Lavrent'eva 6, Novosibirsk, 630090
2Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090
3Institute of Automation and Electrometry, Siberian Branch, Russian Academy of Sciences, prosp. Akademika Koptyuga 1, Novosibirsk, 630090
Keywords: волоконная брэгговская решётка, задача рассеяния, метод трансфер- матриц, рекуррентный алгоритм, неравномерная сетка, fiber Bragg grating, scattering problem, transfer matrix method, recurrent algorithm, nonuniform grid
Abstract
The direct problem of light scattering for a fiber optic Bragg grating is considered.яThe formulation and solution of the problem based on the transfer matrix method are discussed.яA variant of the method is proposed which reduces to a a universal recurrent algorithm similar to the sweep algorithm and convenient for computing.яThe elements of transfer matrices were calculated with the third local order of accuracy on an uneven computational grid along the coordinate in the approximation of coupled modes using the finite volume method.яThe recurrent algorithm was used in numerical calculations for the direct scattering problem for a Bragg grating with apodization and nonlinear chirp.яNumerical simulations confirmed the significant increase in the accuracy of calculations for solving the scattering problem on the nonuniform grid
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