Analysis of Lossy Siw Structures Based on the Parallel Plates Waveguide Green's Function

Abstract

Abstract-In this paper, a full-wave analysis technique of lossy substrate integrated waveguides, based on the dyadic Green's function of the parallel plate waveguide, is presented. The field inside the waveguide is expressed in terms of cylindrical vector wave-functions and the finite conductivity of the top and of the bottom plates, and of the metallic vias are taken into account. Losses into the dielectric substrate are also included. Coaxial ports are considered as sources and self and mutual admittances are evaluated. Cases of practical structure taken from literature are presented showing a very good agreement with the most used commercial software.

Characterization of Lossy Siw Resonators Based on Multilayer Perceptron Neural Networks on Graphics Processing Unit

“…The detailed study of a lossy parallel plates waveguide using the rigorous derivation of the dyadic Green's function, has been presented in [9]. Here we recall only the main ideas and results regarding the analysis and evaluation of the resonances f r and of the quality factor Q for SIW resonators.…”

“…(2) arising from the discretization via Method of Moments of the relevant scattering operator [9]. Resonances are the frequencies for which (2) has a nontrivial solution forΓ T M,T E = 0, i.e., [23] det L TM ,TE = 0 (3) An efficient computational method to locate resonances has been presented in [19] and is based on an estimation of the minimum singular value σ min of the discretized operator L TM ,TE in the relevant frequency band of interest rather than the direct calculation of the determinant function (3).…”

“…The scattered field is expressed as a series of outgoing vector wave functions having coefficients A T M m,n,l (A T E m,n,l ) computed by solving the following matrix system [7,9] …”

“…Here we recall only the main ideas and results regarding the analysis and evaluation of the resonances f r and of the quality factor Q for SIW resonators. In a lossy SIW structure, the field into the cavity is determined using the following impedance boundary condition on the top and bottom plates and on the cylinders surface [9] …”

“…Filters [1], antennas [2], power combiners [3,4] and other devices have been successfully designed and realized. The design of such devices can be faced with the help of commercial codes based on finite methods like FEM [5], however, in a series of papers [6][7][8][9] the authors have shown alternative and more effective methods to analyze SIW structures. In particular the method based on the dyadic Green's function technique and the method of moments proved to be effective and accurate and it has been applied to the analysis of both non radiating [7] and radiating [8] structures and, recently, has been extended to lossy SIW devices [9].…”