Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 45 > pp. 291-312


By B.-H. Jung, T. K. Sarkar, and Y.-S. Chung

Full Article PDF (216 KB)

In this paper, we analyze the transient electromagnetic response from three-dimensional (3-D) dielectric bodies using a time domain PMCHW (Poggio, Miller, Chang, Harrington, Wu) integral equation. The solution method in this paper is based on the Galerkin's method that involves separate spatial and temporal testing procedures. Triangular patch basis functions are used for spatial expansion and testing functions for arbitrarily shaped 3-D dielectric structures. The time domain unknown coefficients of the equivalent electric and magnetic currents are approximated by a set of orthonormal basis functions that are derived from the Laguerre functions. These basis functions are also used as the temporal testing. Use of the Laguerre polynomials as expansion functions characterizing the time variable enables one to handle the time derivative terms in the integral equation and decouples the space-time continuum in an analytic fashion. We also propose an alternative formulation using a differential form of time domain PMCHW equation with a different expansion for the equivalent currents. Numerical results computed by the two proposed methods are presented and compared.

Citation: (See works that cites this article)
B.-H. Jung, T. K. Sarkar, and Y.-S. Chung, "Solution of Time Domain Pmchw Formulation for Transient Electromagnetic Scattering from Arbitrarily Shaped 3-D Dielectric Objects," Progress In Electromagnetics Research, Vol. 45, 291-312, 2004.

1. Rao, S. M., Time Domain Electromagnetics, Academic Press, 1999.

2. Vechinski, D. A., S. M. Rao, and T. K. Sarkar, "Transient scattering from three-dimensional arbitrary shaped dielectricbodies," J. Opt. Soc. Amer., Vol. 11, No. 4, 1458-1470, 1994.

3. Rao, S. M. and T. K. Sarkar, "Implicit solution of timedomain integral equations for arbitrarily shaped dielectric bodies," Microwave Opt. Technol. Lett., Vol. 21, No. 3, 201-205, 1999.

4. Sarkar, T. K., W. Lee, and S. M. Rao, "Analysis of transient scattering from composite arbitrarily shaped complex structures," IEEE Trans. Antennas Propagat., Vol. 48, No. 10, 1625-1634, 2000.

5. Chung, Y.-S., T. K. Sarkar, and B. H. Jung, "Solution of a time-domain magnetic-field integral equation for arbitrarily closed conducting bodies using an unconditionally stable methodology," Microwave Opt. Technol. Lett., Vol. 35, No. 6, 493-499, 2002.

6. Rao, S. M., D. R. Wilton, and A. W. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE Trans. Antennas Propagat., Vol. 30, No. 3, 409-418, 1982.

7. Wilton, D. R., S. M. Rao, A. W. Glisson, D. H. Schaubert, O. M. Al-Bundak, and C. M. Butler, "Potential integrals for uniform and linear source distributions on polygonal and polyhedral domains," IEEE Trans. Antennas Propagat., Vol. 32, No. 3, 276-281, 1984.

8. Poularikas, A. D., The Transforms and Applications Handbook, IEEE Press, 1996.

9. Gradshteyn, I. S. and I. M. Ryzhik, Table of Integrals, Series, and Products, , Academic Press, New York, 1980.

10. Jung, B. H., T. K. Sarkar, and Y.-S. Chung, "A survey of various frequency domain integral equations for the analysis of scattering from three-dimensional dielectric objects," J. of Electromagn. Waves and Applicat., Vol. 16. No. 10, No. Vol. 16. 10, 1419-1421, 2002.

© Copyright 2014 EMW Publishing. All Rights Reserved