Numerical Analysis of Gradient Planar Waveguides in Frequency Domain

Developed a numerical method for calculating propagation constants of localized modes of planar waveguides, as well as the solution of the stationary Schrödinger equation. The method is based on the Fourier transform of the wave equation. As a result, we obtain an integral equation in which the integral is replaced by summation. Ultimately, we obtain the problem of linear algebra with eigenvalues and eigenvectors. The method is verified on many examples. It is numerically stable and provides high accuracy of calculation (Abstract)