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Applied Optics

Applied Optics


  • Vol. 37, Iss. 9 — Mar. 20, 1998
  • pp: 1666–1673

Bridging the quasi-static and the physical optics approximations: an elliptic disk case

Mostafa A. Karam  »View Author Affiliations

Applied Optics, Vol. 37, Issue 9, pp. 1666-1673 (1998)

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A reformulated integral equation is solved inside an elliptic disk particle for an electromagnetic field formulation bridging the quasi-static and the physical optics approximations. The scattering amplitude tensor elements associated with such a field formulation are derived and then used to formulate the extinction cross sections. It is shown that the extinction cross sections have a frequency dependence and an incidence angle dependence similar to those associated with the physical optics approximation, and they have a particle shape dependence similar to that associated with the quasi-static approximation. Furthermore, at the high-frequency limits, it is shown that those cross sections could reach the value known in the literature by the extinction paradox, namely, twice the particle geometric shadow area.

© 1998 Optical Society of America

OCIS Codes
(010.3920) Atmospheric and oceanic optics : Meteorology
(260.0260) Physical optics : Physical optics
(260.2110) Physical optics : Electromagnetic optics
(290.0290) Scattering : Scattering

Original Manuscript: May 16, 1997
Revised Manuscript: October 6, 1997
Published: March 20, 1998

Mostafa A. Karam, "Bridging the quasi-static and the physical optics approximations: an elliptic disk case," Appl. Opt. 37, 1666-1673 (1998)

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  1. M. A. Karam, “Electromagnetic wave interactions with dielectric particles. I. Integral equation reformation,” Appl. Opt. 36, 5238–5245 (1997). [CrossRef] [PubMed]
  2. 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]
  3. D. M. LeVine, “The radar cross section of dielectric disks,” IEEE Trans. Antennas Propag. AP-32, 6–12 (1984). [CrossRef]
  4. D. M. LeVine, A. Schneider, R. H. Lang, H. G. Carter, “Scattering from thin dielectric disks,” IEEE Trans. Antennas Propag. AP-33, 1410–1413 (1985). [CrossRef]
  5. R. Schiffer, K. O. Thielheim, “Light scattering by dielectric needles and disks,” J. Appl. Phys. 50, 2476–2483 (1979). [CrossRef]
  6. M. A. Karam, A. K. Fung, “Leaf-shape effects in electromagnetic wave scattering from vegetation,” IEEE Trans. Geosci. Remote Sensing 27, 687–697 (1989). [CrossRef]
  7. L. Tsang, J. A. Kong, R. T. Shin, Theory of Microwave Remote Sensing (Wiley, New York, 1985).
  8. M. A. Karam, “Molecular optics approach to electromagnetic wave interactions with stratified media,” J. Opt. Soc. Am. A 13, 2208–2218 (1996). [CrossRef]
  9. M. A. Karam, A. K. Fung, “Vector forward scattering theorem,” Radio Sci. 17, 752–756 (1982). [CrossRef]
  10. H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981).
  11. D. M. LeVine, M. A. Karam, “Dependence of attenuation in a vegetation canopy on frequency and plant water content,” IEEE Trans. Geosci. Remote Sensing 34, 1090–1096 (1996). [CrossRef]
  12. S. Asano, “Light scattering properties of spheroidal particles,” Appl. Opt. 18, 712–723 (1979). [CrossRef] [PubMed]

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