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Rainbow Scattering by a Coated SphereWe 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 alpha(sub 12) and the thickness of the coating beta are varied. As the ratio beta/alpha(sub 12) increases from 10(sup -4) to 0.33, we find three classes of rainbow phenomena that cannot occur for a homogeneous-sphere rainbow. For beta/alpha(sub 12) approx less than 10(sup -3), the rainbow intensity is an oscillatory function of the coating thickness, for beta/alpha(sub 12) approx. 10(sup -2), the first-order rainbow breaks into a pair of twin rainbows, and for beta/alpha(sub 12) approx. 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.
Document ID
19970031771
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Lock, James A.
(Cleveland State Univ. Cleveland, OH United States)
Jamison, J. Michael
(ADF Corp. Cleveland, OH United States)
Lin, Chih-Yang
(Pennsylvania State Univ. Shippensburg, PA United States)
Date Acquired
August 17, 2013
Publication Date
July 20, 1994
Publication Information
Publication: Applied Optics
Publisher: Optical Society of America
Volume: 33
Issue: 21
ISSN: 0003-6935
Subject Category
Optics
Report/Patent Number
NAS 1.26:204819
NASA-CR-204819
Accession Number
97N72413
Funding Number(s)
CONTRACT_GRANT: NCC3-204
Distribution Limits
Public
Copyright
Public Use Permitted.
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