OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 36, Iss. 21 — Jul. 20, 1997
  • pp: 5238–5245

Electromagnetic wave interactions with dielectric particles. I. Integral equation reformation

Mostafa A. Karam  »View Author Affiliations

Applied Optics, Vol. 36, Issue 21, pp. 5238-5245 (1997)

View Full Text Article

Enhanced HTML    Acrobat PDF (270 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The conventional integral equation governing the electric field inside dielectric particles is reformed to bridge and to provide mathematical foundations for analytic techniques widely used to estimate such a field. The solution of the reformed equation inside a dielectric slab explained how inner-field formulations based on the Rayleigh, the Rayleigh–Gans, the quasi-static, and the Shifrin approximations can be supported by the particles. It also confirmed the approach employed to reform the integral equation. The analysis performed uncovered the differences between the depolarization tensor characterizing electrostatic fields inside the particles and the source dyadic resulting from the extraction of the singularity of the integral equation kernel.

© 1997 Optical Society of America

Original Manuscript: April 4, 1996
Revised Manuscript: February 10, 1997
Published: July 20, 1997

Mostafa A. Karam, "Electromagnetic wave interactions with dielectric particles. I. Integral equation reformation," Appl. Opt. 36, 5238-5245 (1997)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981), pp. 63–84.
  2. C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983), pp. 131–150.
  3. M. A. Karam, D. M. LeVine, Y. M. M. Antar, A. Stogryn, “Improvement of the Rayleigh approximation for scattering from a small scatterer,” IEEE Trans. Antennas Propag. 43, 681–687 (1995). [CrossRef]
  4. C. Acquista, “Light scattering by tenuous particles: a generalization of the Rayleigh-Gans-Record approach,” Appl. Opt. 15, 2932–2936 (1976). [CrossRef] [PubMed]
  5. R. Schiffer, K. O. Thielheim, “Light scattering by dielectric needles and disks,” J. Appl. Phys. 50, 2476–2483 (1979). [CrossRef]
  6. K. S. Shifrin, “Scattering of light in a turbid medium (Moscow, 1951),” NASA Tech. Transl. TT F-47 (1968).
  7. L. D. Cohen, R. D. Haracz, A. Cohen, C. Acquista, “Scattering of light from arbitrarily oriented finite cylinders,” Appl. Opt. 22, 742–748 (1983). [CrossRef] [PubMed]
  8. R. D. Haracz, L. D. Cohen, A. Cohen, “Scattering of linearly polarized light from randomly oriented cylinders and spheroids,” J. Appl. Phys. 58, 3322–3327 (1985). [CrossRef]
  9. R. D. Haracz, L. D. Cohen, A. Cohen, “Perturbation theory for scattering from dielectric spheroids and short cylinders,” Appl. Opt. 23, 436–441 (1984). [CrossRef] [PubMed]
  10. M. A. Karam, A. K. Fung, “Electromagnetic scattering from a layer of finite randomly oriented circular cylinders over a rough interface with application to vegetation,” Int. J. Remote Sensing 9, 1109–1134 (1989). [CrossRef]
  11. M. A. Karam, A. K. Fung, Y. M. M. Antar, “Electromagnetic wave scattering from some vegetation samples,” IEEE Trans. Geosci. Remote Sensing 26, 799–808 (1988). [CrossRef]
  12. D. M. LeVine, “The radar cross section of dielectric disks,” IEEE Trans. Antennas Propag. AP-32, 6–12 (1984). [CrossRef]
  13. S.-W. Lee, J. Boersma, C.-L. Law, G. A. Deschamps, “Singularity in Green’s function and its numerical evaluation,” IEEE Trans. Antennas Propag. AP-28, 311–317 (1980).
  14. J. Van Bladel, Singular Electromagnetic Fields and Sources (IEEE, New York, 1995).
  15. A. D. Yaghjian, “Electric dyadic Green’s functions in the source region,” Proc. IEEE 68, 248–263 (1980). [CrossRef]
  16. W. K. H. Panofsky, M. Phillips, Classical Electricity and Magnetism (Addison-Wesly, Reading, Mass., 1956), pp. 73–85.
  17. J. A. Straton, Electromagnetic Theory (McGraw-Hill, New York, 1941), Chap. 3.
  18. L. Tsang, J. A. Kong, R. T. Shin, Theory of Microwave Remote Sensing (Wiley, New York, 1985), Secs. 2.1, 2.2, 3.1.
  19. M. A. Karam, “A molecular optics approach to electromagnetic wave interactions with stratified media,” J. Opt. Soc. Am. A 13, 2208–2218 (1996). [CrossRef]

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

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited