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  • Vol. 36, Iss. 20 — Oct. 15, 2011
  • pp: 4080–4082

Rayleigh approximation for axisymmetric scatterers

V. B. Il’in and V. G. Farafonov  »View Author Affiliations


Optics Letters, Vol. 36, Issue 20, pp. 4080-4082 (2011)
http://dx.doi.org/10.1364/OL.36.004080


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Abstract

The Rayleigh approximation is known to be designed only for small ellipsoidal scatterers. We suggest an approach that allows one to find a simple, often analytical, long-wavelength approximation for nonellipsoidal particles. We apply the approach to axisymmetric scatterers and utilize Chebyshev particles to study the main properties of the obtained approximation. To a certain degree, it can be considered as an extension of the Rayleigh approximation to nonspheroidal scatterers.

© 2011 Optical Society of America

OCIS Codes
(290.3770) Scattering : Long-wave scattering
(290.5850) Scattering : Scattering, particles
(290.5870) Scattering : Scattering, Rayleigh
(290.5825) Scattering : Scattering theory

ToC Category:
Scattering

History
Original Manuscript: June 30, 2011
Revised Manuscript: September 20, 2011
Manuscript Accepted: September 20, 2011
Published: October 13, 2011

Citation
V. B. Il’in and V. G. Farafonov, "Rayleigh approximation for axisymmetric scatterers," Opt. Lett. 36, 4080-4082 (2011)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-36-20-4080


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References

  1. Lord Rayleigh, Philos. Mag. 44, 28 (1897).
  2. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).
  3. R. E. Kleinman and T. B. A. Senior, in Low and High Frequency Asymptotics, V.K.Varadan and V.V.Varadan, eds. (Elsevier, 1986), pp. 1–70.
  4. B. Posselt, V. G. Farafonov, V. B. Il’in, and M. S. Prokopjeva, Meas. Sci. Technol. 13, 256 (2002). [CrossRef]
  5. A. R. Jones, Proc. Royal. Soc. London A 366, 111 (1979). [CrossRef]
  6. D. W. Mackowski, Appl. Opt. 34, 3535 (1995). [CrossRef] [PubMed]
  7. A. Moroz, J. Opt. Soc. Am. B 26, 517 (2009). [CrossRef]
  8. A. Sihvola, J. Venermo, and P. Ylä-Oijala, Microw. Opt. Technol. Lett. 41, 245 (2004). [CrossRef]
  9. A. G. Ramm, Wave Scattering by Small Bodies of Arbitrary Shapes (World Scientific, 2005). [CrossRef]
  10. V. G. Farafonov, V. B. Il’in, and M. S. Prokopjeva, J. Quant. Spectrosc. Radiat. Transf. 79–80, 599 (2003). [CrossRef]
  11. H. Kang and G. W. Milton, Arch. Ration. Mech. Anal. 188, 93 (2008). [CrossRef]
  12. W. J. Wiscombe and A. Mugnai, in Light Scattering by Irregularly Shaped Particles, D.W.Schuerman, ed. (Plenum, 1980), pp. 141–152.
  13. W. J. Wiscombe and A. Mugnai, NASA Ref. Publ. 1157, Goddard Space Flight Center, National Aeronautics and Space Administration, Greenbelt, Md., 1986.
  14. M. I. Mishchenko and L. D. Travis, J. Quant. Spectrosc. Radiat. Transf. 51, 759 (1994). [CrossRef]
  15. T. Rother, K. Schmidt, J. Wauer, V. Shcherbakov, and J.-F. Gayet, Appl. Opt. 45, 6030 (2006). [CrossRef] [PubMed]
  16. D. Petrov, Y. Shkuratov, and G. Videen, J. Opt. Soc. Am. A 24, 1103 (2007). [CrossRef]
  17. A. A. Vinokurov, V. B. Il’in, and V. G. Farafonov, J. Quant. Spectrosc. Radiat. Transf. 112, 1733 (2011). [CrossRef]
  18. A. Moroz, Appl. Opt. 44, 3604 (2005). [CrossRef] [PubMed]
  19. M. A. Yurkin, V. P. Maltsev, and A. G. Hoekstra, J. Quant. Spectrosc. Radiat. Transf. 106, 546 (2007). [CrossRef]

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