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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 11, Iss. 4 — Apr. 1, 1994
  • pp: 1505–1512

Complex multipole-beam approach to three-dimensional electromagnetic scattering problems

Amir Boag and Raj Mittra  »View Author Affiliations


JOSA A, Vol. 11, Issue 4, pp. 1505-1512 (1994)
http://dx.doi.org/10.1364/JOSAA.11.001505


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Abstract

A novel approach to reducing the matrix size associated with the method-of-moments solution of the problem of electromagnetic scattering from arbitrarily shaped closed bodies is presented. The key step in this approach is to represent the scattered field in terms of a series of beams that are produced by multipole sources located in a complex space. On the scatterer boundary the fields that are generated by these multipole sources resemble the Gabor basis functions. By utilizing the properties of the Gabor series, guidelines for selecting the orders as well as the locations of the multipole sources are developed. The present approach not only reduces the number of unknowns but also generates a generalized impedance matrix with a banded structure. We verify the accuracy of the proposed method by using internal accuracy checks and by comparing the numerical results with the analytic solution for a spherical scatterer.

© 1994 Optical Society of America

History
Original Manuscript: July 8, 1993
Revised Manuscript: October 18, 1993
Manuscript Accepted: October 28, 1993
Published: April 1, 1994

Citation
Amir Boag and Raj Mittra, "Complex multipole-beam approach to three-dimensional electromagnetic scattering problems," J. Opt. Soc. Am. A 11, 1505-1512 (1994)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-11-4-1505


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References

  1. R. F. Harrington, Field Computation by Moment Methods (Macmillan, New York, 1968).
  2. F. X. Canning, “The impedance matrix localization (IML) method for moment-method calculations,” IEEE Antennas Propag. Mag. 32(5), 18–30 (1990). [CrossRef]
  3. D. Gabor, “Theory of Communication,” Proc. Inst. Electr. Eng. 93, 429–457 (1946).
  4. F. X. Canning, “A new combined field integral equation for impedance matrix localization (IML),” in Proceedings of the IEEE Antennas and Propagation Society International Symposium (Institute of Electrical and Electronics Engineers, New York, 1993), pp. 1140–1143. [CrossRef]
  5. Y. Leviatan, E. Hudis, P. D. Einziger, “A method of moments analysis of electromagnetic coupling through slots using a Gaussian beam expansion,” IEEE Trans. Antennas Propag. 37, 1537–1544 (1989). [CrossRef]
  6. C. Hafner, The Generalized Multipole Technique for Computational Electromagnetics (Artech House, Norwood, Mass., 1990).
  7. Y. Leviatan, A. Boag, A. Boag, “Analysis of electromagnetic scattering using a current model method,” Comput. Phys. Commun. 68, 331–345 (1991). [CrossRef]
  8. A. Boag, Y. Leviatan, A. Boag, “On the use of SVD-improved point matching in the current-model method,” IEEE Trans. Antennas Propag. 41, 926–933 (1993). [CrossRef]
  9. R. J. Pogorzelski, “Improved computational efficiency via near-field localization,” presented at the Union Radio-Scientifique Internationale Radio Science Meeting, Chicago, III., July 1992.
  10. E. Erez, Y. Leviatan, “Analysis of scattering from structures containing a variety of length-scales using a source-model technique,” J. Acoust. Soc. Am. 93, 3027–3031 (1993). [CrossRef]
  11. G. A. Deschamps, “Gaussian beams as a bundle of complex rays,” Electron. Lett. 7, 684–685 (1971). [CrossRef]
  12. P. D. Einziger, S. Raz, “Beam-series representation and the parabolic approximation: the frequency domain,” J. Opt. Soc. Am. A 5, 1883–1892 (1988). [CrossRef]
  13. J. M. Klosner, L. B. Felsen, I. T. Lu, H. Grossfeld, “Three-dimensional source field modeling by self-consistent Gaussian beam superposition,” J. Acoust. Soc. Am. 91, 1809–1822 (1992). [CrossRef]
  14. J. Wexler, S. Raz, “Discrete Gabor expansions,” Signal Process. 21, 207–220 (1990). [CrossRef]
  15. Y. Y. Zeevi, M. Porat, “The generalized Gabor scheme of image representation in biological and machine vision,” IEEE Trans. Pattern Anal. Mach. Intell. 10, 452–468 (1988). [CrossRef]
  16. J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941).
  17. S. Y. Shin, L. B. Felsen, “Gaussian beam modes by multipoles with complex source points,” J. Opt. Soc. Am. 67, 699–700 (1977). [CrossRef]
  18. A. Boag, R. Mittra, “Complex multipole beam approach to electromagnetic scattering problems,” IEEE Trans. Antennas Propag. (to be published).
  19. J. G. Daugman, “Complete discrete 2-D Gabor transforms by neural networks for image analysis and compression,” IEEE Trans. Acoust. Speech Signal Process. 36, 1169–1179 (1988). [CrossRef]
  20. A. Boag, R. Mittra, “Hybrid multipole beam approach to electromagnetic scattering problems,” presented at the Second International Conference on Approximations and Numerical Solution of the Maxwell Equations, Washington, D.C., October 1993.

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