Introducing a Method-of-Moments Solution for 2-Dimensional TM Electromagnetic Problems | ||
| Journal of Communication Engineering | ||
| مقاله 4، دوره 12، شماره 1 - شماره پیاپی 24، فروردین 2026، صفحه 47-66 اصل مقاله (1.24 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22070/jce.2025.19053.1269 | ||
| نویسندگان | ||
| Mahdi Parizi1؛ Mansor Nakhkash* 2 | ||
| 1Electrical Engineering Dept., Yazd University, Yazd, Iran | ||
| 2Department of Electrical Engineering Yazd University,Yazd,Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| 2-dimensional TM problems؛ method of moments (MoM)؛ stabilized biconjugate-gradient fast Fourier transform؛ Microwave imaging | ||
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