The Implementation of the Symbolic-Numerical Method for Finding the Adiabatic Waveguide Modes of Integrated Optical Waveguides in CAS Maple

Computational problems of electrodynamics require an approximate solution of the system of Maxwell’s vector equations for regions with different geometries. The main methods for solving problems with the Maxwell equations are either finite difference methods or methods based on the Galerkin and Kantorovich expansions, or the finite element method. Each of the classes of methods is characterised by a wide range of permissible objects, but in each of the methods, the solution contains a large number of quantities known only in numerical form.

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