Analysis of arbitrarily shaped microstrip patch antennas using the Sommerfeld formulation

Abstract

ABSTRACT

A novel technique for analysis of electromagnetic scattering from microstrip antennas of arbitary shape

“…In the EFIE, formulation, the total tangential electric feld on the conducting radiating surface is equated to zero, i.e. Etan = 0 on conducting patches (1) If an equivalent current J,, on the conducting patches is assumed to exist, then L(JJ) + Ei = 0 on conducting patches (2) where Ei represents the excitation. Here L(J,) represents the electric field operator which produces an electric field due to Js.…”

“…Much progress has been made in the last decade in the development of numerical solution procedures for analyzing radiation and scattering by arbitrary shaped microstrip conducting structures [1,2]. These procedures, primarily are based on the surface equivalence principle [1] and the wellknown method of moments [3] solution procedure to solve the integral equations.…”

Analysis and Measurements of Arbitrarily Shaped Open Microstrip Structures

“…The surface is triangulated, i.e., defined by an appropriate set of faces, edges, vertices and boundary edges. The salient features of triangular basis functions are summarized here [29]. Associated with each edge are two triangles defined by T + n and T − n .…”

“…Knowing the current distribution on the microstrip, we easily obtain the far-field radiation pattern, as presented in [39,29]. This feature is of the greatest importance for the case of microstrip patch antennas.…”

“…In section 2, the formulation of the open microstrip problem is presented. We solve the Sommerfeld-type integral equation by the method of moments (MoM) [28,29]. In order to treat arbitrarily shaped microstrip patches, we consider triangular basis functions, first introduced by Rao [30,31].…”