Journal of Communication Engineering

Journal of Communication Engineering

Introducing a Method-of-Moments Solution for 2-Dimensional TM Electromagnetic Problems

Document Type : Research Paper

Authors
M. Parizi
M. Nakhkash
Electrical Engineering Dept., Yazd University, Yazd, Iran
10.22070/jce.2025.19053.1269
Abstract
This paper introduces a new solution for 2-dimensional (2D) TM electromagnetic problems by the method of moments (MoM) in polar coordinates. The main idea is to reformulate a 2D problem according to addition theorem for the zeroth-order Hankel function of the second kind. Recursive formulas in spatial frequency domain are derived and the scattering field is rewritten into inward and outward components. In this way, a 2D TM problem can be solved using 1D FFT in the stabilized biconjugate-gradient fast Fourier transform (BCGS-FFT) algorithm. Because the emerging method obtains 1D FFT over a circle, there is no need to expand an object region by zero padding, whereas it is necessary for the conventional 2D FFT in cartesian coordinates. Therefore, the polar coordinate approach concludes in less computational burden. Other interesting advantage is that the field on a circle outside a scattering object can be calculated, efficiently, using an analytical formula. This is, particularly, attractive in electromagnetic inverse scattering problems and microwave imaging (MI). The numerical examples for 2D TM problems demonstrate merits of the proposed technique in terms of the accuracy and computational efficiency.
Keywords
2-dimensional TM problem
method of moments (MoM)
stabilized biconjugate-gradient fast Fourier transform
Microwave imaging
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