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Progress In Electromagnetics Research
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COMPUTATIONALLY EFFICIENT EXPRESSIONS OF THE DYADIC GREEN'S FUNCTION FOR RECTANGULAR ENCLOSURES

By F. Marliani and A. Ciccolella

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Abstract:
This paper considers expressions of the dyadic Green's function for rectangular enclosures, which are efficient from a computational point of view. The inherent application is to solve numerically electromagnetic scattering problems with an integral equation formulation, using the Method of Moments. The Green's dyadic is derived from an image-spectral approach, which has the flexibility to generate directly the expression with the fastest convergence once the locations of both the observation and the source points are given. When the observation point is at the source region, slowly converging sums arise that are overcome by extending the method of Ewald to the dyadic case. Numerical proofs are reported in tabular form to validate the technique developed.

Citation: (See works that cites this article)
F. Marliani and A. Ciccolella, "Computationally Efficient Expressions of the Dyadic Green's Function for Rectangular Enclosures," Progress In Electromagnetics Research, Vol. 31, 195-223, 2001.
doi:10.2528/PIER00062901
http://www.jpier.org/PIER/pier.php?paper=0006291

References:
1. Morse, P. M. and H. Feshbach, Methods of Theoretical Physics, Part TT., 1849–1851, McGraw-Hill, New York, 1953.

2. Tai, C.-T., "Different representations of dyadic Green’s functions for a rectangular cavity," IEEE Transactions on Microwave Theory and Techniques, 597-601, Sept. 1976.
doi:10.1109/TMTT.1976.1128914

3. Tai, C.-T., Dyadic Green Functions in Electromagnetic Theory, 2nd Edition, IEEE Press, 1994.

4. Rahmat-Samii, Y., "On the question of computation of the dyadic Green’s function at the source region in waveguides and cavities," IEEE Transactions on Microwave Theory and Techniques, 762-765, Sept. 1975.
doi:10.1109/TMTT.1975.1128671

5. Collin, R. E., Field Theory of Guided Waves, Chap. 5, 2nd Edition, IEEE Press, 1991.

6. Hamid, M. A. K. and W. A. Johnson, "Ray-optical solution for the dyadic Green’s function in a rectangular cavity," Electronic Letters, Vol. 6, 317-319, May 1970.
doi:10.1049/el:19700223

7. Cui, T. J., J. Chen, and C. H. Liang, "Complex images of a point charge in rectangular conducting planes," IEEE Transactions on Electromagnetic Compatibility, 285-288, 1995.
doi:10.1109/15.385895

8. Wu, D. I. and D. C. Chang, "A hybrid representation of the Green’s function in an overmoded rectangular cavity," IEEE Transactions on Microwave Theory and Techniques, Vol. 36, No. 9, 1334-1442, Sep. 1988.
doi:10.1109/22.3680

9. Johnson, W. A., A. Q. Haward, and D. G. Dudley, "On the irrotational component of the electric Green’s dyadic," Radio Science, 961-967, Nov.–Dec. 1979.

10. Singh, S. and R. Singh, "Application of transforms to accelerate the summation of periodic free space Green’s function," IEEE Transactions on Microwave Theory and Techniques, Vol. 38, No. 11, Nov. 1990.

11. Singh, S., W. F. Richards, J. R. Zinecker, and D. R. Wilton, "Accelerating the convergence of series representing the free space Green’s function," IEEE Transactions on Antennas and Propagation, Vol. 38, No. 12, 1958-1962, Dec. 1990.
doi:10.1109/8.60985

12. Jorgenson, R. E. and R. Mittra, "Efficient calculation of the free space periodic Green’s function," IEEE Transactions on Antennas and Propagation, Vol. 38, No. 5, 633-642, May 1990.
doi:10.1109/8.53491

13. Ewald, P. P., "Die berechnung optischer und elektrostatischer gitterpotentiale,", Vol. 64, 253-287, Ann der Physik, 1921.

14. Tosi, M., "Evaluation of electrostatic lattice potentials by the Ewald method,", Solid State Physics 16, F. Seitz and D. Turnbull (Eds.), 107–120, Academic Press, New York, 1964.

15. Balanis, C. A., Antenna Theory: Analysis and Design, 405-409, John Wiley & Sons, USA, 1997.


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