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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 45, Iss. 20 — Jul. 10, 2006
  • pp: 5000–5009

Extension of geometrical-optics approximation to on-axis Gaussian beam scattering. II. By a spheroidal particle with end-on incidence

Feng Xu, Kuan Fang Ren, Xiaoshu Cai, and Jianqi Shen  »View Author Affiliations

Applied Optics, Vol. 45, Issue 20, pp. 5000-5009 (2006)

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On the basis of our previous work on the extension of the geometrical-optics approximation to Gaussian beam scattering by a spherical particle, we present a further extension of the method to the scattering of a transparent or absorbing spheroidal particle with the same symmetric axis as the incident beam. As was done for the spherical particle, the phase shifts of the emerging rays due to focal lines, optical path, and total reflection are carefully considered. The angular position of the geometric rainbow of primary order is theoretically predicted. Compared with our results, the Möbius prediction of the rainbow angle has a discrepancy of less than 0.5° for a spheroidal droplet of aspect radio κ within 0.95 and 1.05 and less than 2° for κ within 0.89 and 1.11. The flux ratio index F, which qualitatively indicates the effect of a surface wave, is also studied and found to be dependent on the size, refractive index, and surface curvature of the particle.

© 2006 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: November 15, 2005
Revised Manuscript: January 16, 2006
Manuscript Accepted: January 26, 2006

Virtual Issues
Vol. 1, Iss. 8 Virtual Journal for Biomedical Optics

Feng Xu, Kuan Fang Ren, Xiaoshu Cai, and Jianqi Shen, "Extension of geometrical-optics approximation to on-axis Gaussian beam scattering. II. By a spheroidal particle with end-on incidence," Appl. Opt. 45, 5000-5009 (2006)

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