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Applied Optics

Applied Optics


  • Vol. 43, Iss. 9 — Mar. 19, 2004
  • pp: 1870–1879

Geometrical-optics approximation of forward scattering by coated particles

Feng Xu, Xiaoshu Cai, and Kuanfang Ren  »View Author Affiliations

Applied Optics, Vol. 43, Issue 9, pp. 1870-1879 (2004)

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By means of geometrical optics we present an approximation algorithm with which to accelerate the computation of scattering intensity distribution within a forward angular range (0°–60°) for coated particles illuminated by a collimated incident beam. Phases of emerging rays are exactly calculated to improve the approximation precision. This method proves effective for transparent and tiny absorbent particles with size parameters larger than 75 but fails to give good approximation results at scattering angles at which refractive rays are absent. When the absorption coefficient of a particle is greater than 0.01, the geometrical optics approximation is effective only for forward small angles, typically less than 10° or so.

© 2004 Optical Society of America

OCIS Codes
(140.0140) Lasers and laser optics : Lasers and laser optics
(200.0200) Optics in computing : Optics in computing
(290.4020) Scattering : Mie theory
(290.5850) Scattering : Scattering, particles

Original Manuscript: April 18, 2003
Revised Manuscript: October 3, 2003
Published: March 20, 2004

Feng Xu, Xiaoshu Cai, and Kuanfang Ren, "Geometrical-optics approximation of forward scattering by coated particles," Appl. Opt. 43, 1870-1879 (2004)

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  1. A. L. Aden, M. Kerker, “Scattering of electromagnetic waves from two concentric spheres,” J. Appl. Phys. 22, 1242–1246 (1951). [CrossRef]
  2. C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
  3. R. Xu, “Particle size distribution analysis using light scattering,” in Liquid and Surfaceborne Particle Measurement Handbook, J. Z. Knapp, T. A. Barber, A. Lieberman, eds. (Marcel Dekker, New York, 1996), pp. 745–777.
  4. L. P. Bayvel, A. R. Jones, Electromagnetic Scattering and Its Applications (Applied Science, London, 1981). [CrossRef]
  5. L. I. Schiff, “Approximation method for short wavelength or high-energy scattering,” Phys. Rev. 104, 1481–1485 (1956). [CrossRef]
  6. T. W. Chen, “Scattering of light by a stratified sphere in high energy approximation,” Appl. Opt. 26, 4155–4158 (1987). [CrossRef] [PubMed]
  7. A. Belafhal, M. Ibnchaikh, K. Nassim, “Scattering amplitude of absorbing and nonabsorbing spheroidal particles in the WKB approximation,” J. Quant. Spectrosc. Radiat. Transfer 72, 385–402 (2002). [CrossRef]
  8. W. J. Glantschnig, S.-H. Chen, “Light scattering from water droplets in the geometrical optics approximation,” Appl. Opt. 20, 2499–2509 (1980). [CrossRef]
  9. M. Min, J. W. Hovenier, A. de Koter, “Scattering and absorption cross sections for randomly oriented spheroids of arbitrary size,” J. Quant. Spectrosc. Radiat. Transfer 79–80, 939–951 (2003). [CrossRef]
  10. Ye. Grynko, Yu. Shkuratov, “Scattering matrix calculated in geometric optics approximation for semitransparent particles faceted with various shapes,” J. Quant. Spectrosc. Radiat. Transfer 78, 319–340 (2003). [CrossRef]
  11. F. Xu, X. S. Cai, J. Shen, “Geometric approximation of light scattering in arbitrary diffraction regime for absorbing particles: application in laser particle sizing,” Acta Opt. Sin. 23, 1464–1469 (2003).
  12. H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981).
  13. A. Ghatak, Optics (Tata McGraw-Hill, New Delhi, 1977).
  14. H. G. Barth, Modern Methods of Particle Size Analysis (Wiley, New York, 1984).

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