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.
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Russian Text © N.I. Gorbenko, V.P. Il’in, L.L. Frumin, 2019, published in Avtometriya, 2019, Vol. 55, No. 1, pp. 40–50.
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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. Optoelectron.Instrument.Proc. 55, 32–40 (2019). https://doi.org/10.3103/S8756699019010060
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DOI: https://doi.org/10.3103/S8756699019010060