Abstract

A volume-surface integral equation (VSIE) solver is presented for the calculation of electromagnetic radiation from arbitrary shaped microstrip antenna on anisotropic substrate. The method of moments (MoM) is used to convert the integral equation into a matrix equation, where the equivalent volume current and surface current are expanded into a finite series of SWG and RWG basis function, respectively. A simple strip model is incorporated in the VSIE to simplify the analysis of the probe-fed microstrip antenna. The present approach is sufficiently versatile in handling microstrip antenna with arbitrary shaped anisotropic dielectric substrate. Numerical results indicate the reliability and accuracy of the proposed method.

Highlights

  • During recent years, great interests have been shown in using microstrip antenna deposited on anisotropic substrate since the substrate anisotropy could have important applications on the operation of microstrip antennas [1,2,3,4]

  • The microstrip antenna is discretized into triangular patches for metallic surfaces and tetrahedral cells for dielectric volume, respectively

  • The geometric parameters are taken from [4] and are as follows: the dimension of the patch is a × b = 12.45 mm × 16 mm, the substrate of the microstrip antenna is 28.1 mm × 32 mm × 0.794 mm, and the permittivity tensor is chosen as εr = [2.31 0 0, 0 2.31 0, 0 0 2.19]. (Refer to [4], in Figure 5, when θ = 0.) The planar microstrip antenna is discretized into 1384 tetrahedral cells and 568 triangular patches, respectively, yielding a total of 4091 unknowns

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Summary

Introduction

Great interests have been shown in using microstrip antenna deposited on anisotropic substrate since the substrate anisotropy could have important applications on the operation of microstrip antennas [1,2,3,4]. A number of microstrip antennas with anisotropic substrate have been investigated using the MoM-based spectral domain analysis method [1,2,3]. In the MoM-based approaches for the analysis of microstrip antenna, the volume-surface integral equation (VSIE) [5,6,7,8,9] solver is more suitable to analyze complex structure targets and has a number of advantages over the other MoM-based approaches [2, 10], such as the applicability to various inhomogeneous materials, the same simple form regardless of the complexity of the materials and no special treatment for problems with junctions. A simple strip model is incorporated in the VSIE to simplify the analysis of the probe-fed microstrip antenna. Radiation properties of both the plane and the cylindrical conformal microstrip antenna with uniaxial substrate are calculated using the VSIE solver

Theory
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