ИСТИНА

The report is devoted to mathematical modeling of rectangular dielectric waveguides with local fractal insets. A three-dimensional boudary-value problem for the Helmholtz equation is considered. The solution is obtained numerically by means of a combination of incomplete Galerkin method and transfer matrix techniques. Cantor fractal, Sierpinski carpet and Menger sponge are studeid as fractal waveguide insets in one-, two- and three-dimensional case respectively. The transmittance and reflectence spectra for these insets are computed and compared with the results of other theoretical and experimental investigations of such structures.