Full wave analysis of complex planar microwave structures
Abstract
For the efficient analysis of discontinuities in planar circuits a fast computer algorithm is needed based on an uncomplicated theory. In the past the method of lines was successfully applied to planar waveguiding structures and simple twodimensional cases. In this paper we adapt the method of lines to structures requiring a high number of discretization lines. The twodimensional discretization and transformation of the Helmholtz equation into the spectral domain are reformulated in an elegant way using the Kronecker product of two matrices. A fast algorithm for the solution of the characteristic equation is developed for periodic structures employing the inversion of block Toeplitz matrices. Any microstrip, finline, or slotline circuit or discontinuity which is composed of several rectangular patches of metallization can be treated in this way. The current distribution of a periodic microstrip step discontinuity is given.
 Publication:

Radio Science
 Pub Date:
 November 1987
 DOI:
 10.1029/RS022i006p00999
 Bibcode:
 1987RaSc...22..999P
 Keywords:

 Helmholtz Equations;
 Integrated Circuits;
 Microwave Circuits;
 Planar Structures;
 Plane Waves;
 Waveguides;
 Galerkin Method;
 Hermitian Polynomial;
 Matrices (Mathematics);
 Microstrip Transmission Lines;
 Electronics and Electrical Engineering;
 Electromagnetics: Electromagnetic theory;
 Electromagnetics: Guided waves;
 Electromagnetics: Numerical methods