Calculation of the wave spectra of shielded waveguides with arbitrary dielectric filling using the modified Galerkin method and the partial domain method

We consider a method for calculating the natural wave spectra of round and rectangular shielded waveguides with arbitrary dielectric filling, which is a modification of the Galerkin method and based on the representation of the wave fields of the guiding structure in the form of an expansion in the eigenfunctions of the boundary value problem for uniformly filled waveguides. An algorithm for calculating the characteristics of symmetric waves of a circular waveguide with gradient dielectric filling and a rectangular shielded waveguide with arbitrary and angular dielectric filling has been compiled.