OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 7, Iss. 6 — Jun. 1, 1990
  • pp: 991–997

Scattering of a plane wave by a general anisotropic dielectric ellipsoid

Spyros N. Papadakis, Nikolaos K. Uzunoglu, and Christos N. Capsalis  »View Author Affiliations

JOSA A, Vol. 7, Issue 6, pp. 991-997 (1990)

View Full Text Article

Enhanced HTML    Acrobat PDF (702 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The scattering by an anisotropic dielectric ellipsoid is examined theoretically. The anisotropic dielectric permittivity tensor is taken to be arbitrary. An integral equation technique is used to formulate the scattering problem. The unknown electric field inside the scatterer is determined by using an expansion into normal waves propagating inside the anisotropic medium and then by solving the fundamental integral equation. A Galerkin technique is used to obtain a numerically stable solution. Scattering amplitudes in the far-field region of the depolarized scattered wave are computed. Numerical results are finally presented for several anisotropic scatterers.

© 1990 Optical Society of America

Original Manuscript: July 7, 1989
Manuscript Accepted: January 6, 1990
Published: June 1, 1990

Spyros N. Papadakis, Nikolaos K. Uzunoglu, and Christos N. Capsalis, "Scattering of a plane wave by a general anisotropic dielectric ellipsoid," J. Opt. Soc. Am. A 7, 991-997 (1990)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. Lord Rayleigh, Philos. Mag. 36(365) (1918).
  2. G. Mie, An. Physik. 25(377) (1908).
  3. H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981).
  4. M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969).
  5. T. Oguchi, “Scattering properties of oblate raindrops and cross polarization of radio waves due to rain: calculations at 19.3 and 34.8 GHz,” J. Radiat. Res. Lab. 20, 79–118 (1973).
  6. J. A. Morrison, M. J. Cross, “Scattering of aplane electromagnetic wave by axisymmetric raindrops,” Bell Syst. Tech. J. 53, 995–1019 (1974).
  7. P. Barber, C. Yeh, “Scattering of electromagnetic waves by arbitrarily shaped dielectric bodies,” Appl. Opt. 14, 2864–2872 (1975). [CrossRef] [PubMed]
  8. S. Asano, G. Yamamoto, “Light scattering by a spheroidal particle,” Appl. Opt. 14, 29–49 (1975). [PubMed]
  9. A. R. Holt, N. K. Uzunoglu, B. G. Evans, “An integral equation solution to the scattering of electromagnetic radiation by dielectric spheroids and ellipsoids,” IEEE Trans. Antennas Propag. AP-26, 706–712 (1978). [CrossRef]
  10. J. F. Nye, Physical Properties of Crystals (Oxford U. Press, London, 1964).
  11. L. J. Pinson, Electro-Optics (Wiley, New York, 1985).
  12. M. Gottlieb, C. L. M. Ireland, J. M. Ley, Electro-Optic and Acousto-Optic Scanning and Deflection, Optical Engineering Series (Dekker, New York, 1983).
  13. R. D. Groglia, P. L. E. Uslenghi, “Anisotropic layered absorbers on cylindrical structures,” Electromagnetics 7, 117–127 (1987). [CrossRef]
  14. J. A. Kong, “Electromagnetic fields due to dipole antennas over stratified anisotropic media,” Geophysics 37, 985–996 (1972). [CrossRef]
  15. N. J. Damaskos, A. L. Maffett, P. L. E. Uslenghi, “Reflection and transmission for gyroelectromagnetic biaxial layered media,” J. Opt. Soc. Am. A 2, 454–461 (1985). [CrossRef]
  16. R. D. Graglia, P. L. E. Uslenghi, “Electromagnetic scattering from anisotropic materials, part I: general theory,” IEEE Trans. Antennas Propag. AP-32, 867–869 (1984). [CrossRef]
  17. V. V. Varadan, A. Lakhtakia, V. K. Varadan, “Scattering by three-dimensional anisotropic scatterers,” IEEE Trans. Antennas Propag. AP-37, 800–802 (1989). [CrossRef]
  18. J. C. Monzon, “Three-dimensional field expansion in the most general rotationally symmetric anisotropic material: application to scattering by a sphere,” IEEE Trans. Antennas Propag. AP-37, 728–735 (1989). [CrossRef]
  19. R. D. Graglia, P. L. E. Uslenghi, R. S. Zich, “Moment method with isoparametric elements for three-dimensional anisotropic scatterers,” Proc. IEEE 77, 750–760 (1989). [CrossRef]
  20. L. D. Landau, E. M. Lifshitz, Electrodynamics of Continuous Media, Vol. 8 of Course of Theoretical Physics (translation from Russian), (Pergamon, Oxford, 1975).
  21. D. S. Jones, Theory of Electromagnetism (Pergamon, Oxford, 1964).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1 Fig. 2 Fig. 3
Fig. 4 Fig. 5

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited