Analysis of the incomplete Galerkin method for modelling of smoothly-irregular transition between planar waveguides

5th International Conference on "Problems of Mathematical and Theoretical Physics and Mathematical Modelling"

物理学;数学

Divakov, D.^1 ; Sevastianov, L.^1,2 ; Nikolaev, N.^1

RUDN University, Moscow, Russia^1

Joint Institute for Nuclear Research, Moscow region, Dubna, Russia^2

关键词: Boundary problems;    Computer algebra systems;    Irregular transition;    Kantorovich method;    Numerical solution;    Regular waveguides;    System of differential equations;    Waveguide propagation;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/788/1/012010/pdf
DOI  :  10.1088/1742-6596/788/1/012010

来源: IOP

【 摘 要 】

The paper deals with a numerical solution of the problem of waveguide propagation of polarized light in smoothly-irregular transition between closed regular waveguides using the incomplete Galerkin method. This method consists in replacement of variables in the problem of reduction of the Helmholtz equation to the system of differential equations by the Kantorovich method and in formulation of the boundary conditions for the resulting system. The formulation of the boundary problem for the ODE system is realized in computer algebra system Maple. The stated boundary problem is solved using Maples libraries of numerical methods.