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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 33, Iss. 21 — Jul. 20, 1994
  • pp: 4677–4690

Rainbow scattering by a coated sphere

James A. Lock, J. Michael Jamison, and Chih-Yang Lin  »View Author Affiliations


Applied Optics, Vol. 33, Issue 21, pp. 4677-4690 (1994)
http://dx.doi.org/10.1364/AO.33.004677


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Abstract

We examine the behavior of the first-order rainbow for a coated sphere by using both ray theory and Aden–Kerker wave theory as the radius of the core a12 and the thickness of the coating δ are varied. As the ratio δ/a12 increases from 10−4 to 0.33, we find three classes of rainbow phenomena that cannot occur for a homogeneous-sphere rainbow. For δ/a12 ≲ 10−3, the rainbow intensity is an oscillatory function of the coating thickness, for δ/a12 ≈ 10−2, the first-order rainbow breaks into a pair of twin rainbows, and for δ/a12 ≈ 0.33, various rainbow-extinction transitions occur. Each of these effects is analyzed, and their physical interpretations are given. A Debye series decomposition of coated-sphere partial-wave scattering amplitudes is also performed and aids in the analysis.

© 1994 Optical Society of America

History
Original Manuscript: September 8, 1993
Revised Manuscript: November 12, 1993
Published: July 20, 1994

Citation
James A. Lock, J. Michael Jamison, and Chih-Yang Lin, "Rainbow scattering by a coated sphere," Appl. Opt. 33, 4677-4690 (1994)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-33-21-4677

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