Semiconductor Physics, Quantum Electronics & Optoelectronics, 20 (4), P. 424-429 (2017).
DOI: https://doi.org/10.15407/spqeo20.04.424

Wave equation solution for multilayer planar waveguides in a spatial frequency domain
V.M. Fitio1, A.V. Bendzyak1, I.Y. Yaremchuk1, Y.V. Bobitski1, 2

1Department of Photonics, Lviv Polytechnic National University, Lviv, Ukraine
2Faculty of Mathematics and Natural Sciences, University of Rzeszów, Rzeszów, Poland

Abstract. Possibilities of new numerical method for solving the wave equation of multilayer planar waveguide were investigated. The method is based on the use of Fourier transform to the wave equation and its solution in the frequency domain by using the numerical method. The final task of finding propagation constants and the Fourier images of the fields in discrete form is reduced to the problem on the eigenvalues and eigenvectors. The new method provides highly accurate calculation of propagation constants and their fields and is characterized by high numerical stability.

Keywords: Fourier transform, multilayer planar waveguides, propagation constants.

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