Spatial-Spectral Formulation of Method of Moment for Rigorous Analysis of Microstrip Structures

Abstract

Abstract-In this paper, we present an efficient hybrid spatialspectral formulation of the method of moment (MoM) in conjunction with the Mixed-Potential Integral Equation (MPIE) for planar circuit analysis. This method is based on the decomposition of the Green's functions in two parts: quasi-static in the near field region and the dynamic contribution in the far field region. Using this decomposition of Green's functions, the method of moment matrix entries can be reduced to a sum of two integrals. The first one is expressed in the spatial field and corresponds to the quasi-static contribution. It is analytically evaluated after a development in Taylor series of the exponential terms in the function to be integrated. The integrals expressed in the spectral field and corresponding to the dynamic part have the advantage of being calculated on a finite range and this is independent of the choice of the basis and test functions. The integrals expressed in the spectral field are performed by using numerical integration. It is also demonstrated that this hybrid method has accelerated the matrix fill in time by using a Fast Fourier Transform (FFT) algorithm. In order to validate the proposed method, numerical results are presented.

Theoretical and Experimental Evaluation of Superstrate Effect on Rectangular Patch Resonator Parameters

“…RPRs have been studied extensively using rigorous full-wave analysis and various types of current expansion functions [2][3][4]. The proposed theoretical analysis is based on the Method of Moment (MoM) which is considered as a standard procedure to solve problems [5][6][7][8] such as the fundamental quantity of interest, namely the electric current distribution on the patch surface, from which all the other required resonator parameters can be obtained [2][3][4][5][6][7][8][9]. In the literature, three types of entire domain basis functions are widely used to expand the patch currents.…”

An Hybrid Model for the Evaluation of the Full-Wave Far-Field Radiated Emission From PCB Traces

“…Similar decompositions are used in [21]. In this paper, we consider microstrip dimensions of the order of mm and frequencies up to 10 GHz.…”

An Adaptive Cavity Setup for Accurate Measurements of Complex Dielectric Permittivity

“…The modes of this structure can be computed by applying the resonance condition at the air-dielectric interface, but this procedure leads to a complex transcendental equation whose solution is not straightforward. Although complex function theory can be used to simplify this task [19,20], we opted for a more automatic and rapidly convergent numerical technique which we describe in detail. With reference to the geometry of Figure 6, it can be shown that the z-dependance of the T E z and T M z mode functions of the loaded waveguide can be derived from the solution of the following boundary-value problem:…”