A comparative study of absorbing boundary conditions
An explicit finite difference scheme is used for solving the Maxwell equations for two-dimensional electromagnetic wave propagation. For transverse magnetic polarization a simple system of hyperbolic equations with constant coefficients can be written. The grid parameters are chosen so that stability of the explicit scheme is satisfied. The values of electrical and magnetical fields are evaluated in the nodal points of two grids placed on half-space step and half-time step with respect to each other. For generating boundary conditions which limit the infinite domain of wave propagation the wave operator is factorized to two pseudodifferential operators containing radicals. Various types of approximation of the radicals produce absorbing boundary conditions (one- way wave equations). In the paper (2,0) type polynomial and (2,2) type rational Padé approximations are used. Numerical experiments are realized for these boundary conditions and the numerical results are discussed.
two-dimensional electromagnetic wave propagation
scientific article; zbMATH DE number 4070253