Efficient calculation of the Green's functions for multilayered shielded cavities with right isosceles-triangular cross-section

Abstract

In this paper, an efficient calculation of the Green's functions inside multilayered shielded cavities with right isosceles-triangular cross-section is presented. The method is entirely developed in the spatial domain, and it is based on image theory. The idea is to use the spatial domain Green's functions inside a multilayered shielded square box, in order to accurately obtain the Green's functions for the right isosceles triangular cavity. Image theory is then used to enforce the boundary conditions along the non-equal side of the triangle. It is shown that the new algorithm is very robust, with limited computational effort. Resonance frequencies and potential patterns of a triangular cavity have been calculated and compared to those obtain by other techniques, showing very good agreement. Finally, a transversal filter inside a multilayered triangular shaped cavity is designed, manufactured and tested using the developed technique.