A Simple, Method of Moments Solution for the Integral Equations for Multiple Dielectric Bodies of Arbitrary Shape in Time Domain

Authors

  • Sadasiva M. Rao Naval Research Laboratory Washington DC 20375, USA.

DOI:

https://doi.org/10.13052/2024.ACES.J.390305

Keywords:

dielectric bodies, integral equations, method of moments, time domain

Abstract

In this work, we present a straightforward and simple method of moments (MOM) solution procedure, with minimum mathematical manipulations, to solve the coupled integral equations for multiple, homogeneous and inhomogeneous, dielectric bodies of arbitrary shape directly in the time domain. The standard surface and volume integral equation formulations are used for homogeneous and inhomogeneous bodies, respectively. The numerical solution procedure does not involve a time-marching process as is usually adopted for time domain problems and seems to be one of the primary reasons for the late-time instabilities as a result of error accumulation. The present solution method is stable for a very long time as evidenced by several representative numerical examples presented for validation.

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Author Biography

Sadasiva M. Rao, Naval Research Laboratory Washington DC 20375, USA.

Sadasiva M. Rao received the Bachelor’s degree in electrical communication engineering from Osmania University in 1974, Master’s degree in microwave engineering from Indian Institute of Sciences in 1976, and Ph.D. degree with specialization in electromagnetic theory from University of Mississippi in 1980.

Dr. Rao served as an Assistant Professor in the Department of Electrical Engineering, Rochester Institute of Technology from 1980 to 1985, Senior Scientist at Osmania University from 1985 to 1987, and as a Professor in the Department of Electrical and Computer Engineering, Auburn University, from 1988 to 2009. He also held visiting Professorships at University of Houston (1987–1988), Osmania University, and Indian Institute of Science. Presently, he is with the Radar Division, Naval Research Laboratory, Washington, DC.

Dr. Rao worked extensively in the area of numerical modeling techniques as applied to Electromagnetic/Acoustic Scattering. He and his team at the University of Mississippi, were the original researchers to develop the planar triangular patch model and to solve the problem of EM scattering by arbitrary shaped conducting bodies. For this work, he received the best paper award for the period 1979–1981 from SUMMA Foundation. He published/presented over 150 papers in international journals/conferences. For his contributions in numerical electromagnetic problems, he was awarded the status of Fellow of IEEE. Further, he was recognized as a Highly Cited Researcher by Thomson ISI in 2001. Dr. Rao’s research interests are in the area of numerical methods applied to antennas and scattering.

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Published

2024-03-31

How to Cite

[1]
S. M. Rao, “A Simple, Method of Moments Solution for the Integral Equations for Multiple Dielectric Bodies of Arbitrary Shape in Time Domain”, ACES Journal, vol. 39, no. 03, pp. 201–214, Mar. 2024.

Issue

2024: Vol 39 Iss 3

Section

Special issue on Finite Difference Methodologies for Microwave, Optical .....