Time-domain analysis of planar structures with an arbitrary distribution of permittivity

An algorithm for the time-domain electrodynamic analysis of planar structur es with an arbitrary distribution of permittivity epsilon is suggested; in the domain considered, epsilon may take the following values: epsilon > eps ilon (0), epsilon < <epsilon>(0), epsilon = 0, and epsilon < 0. A two-param eter algorithm and an expression for the R<tau> elements of the equivalent circuit of a space domain are presented. Expressions are obtained that allo w one to construct a thin (consisting of a single grid layer) absorbing lay er for plane waves and the H-m0 eigenmodes of a rectangular waveguide. The accuracy of the method is estimated. An example is given that demonstrates the application of the method to the analysis of radio-pulse scattering by an inhomogeneous dielectric cylinder.