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Proceedings Paper

True and false symmetries in the classification of optical scatterers
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Paper Abstract

A plane wave is scattered by a potential of bounded support. Translation, rotation and reflection of the potential, q0 induce transformations of the scattered wave. The latter can be represented by means of Born sequences, where q0 appears under the integral sign: non-local formulas are thus derived, the properties of which are discussed. Next, the symmetries induced by the 1st BORN approximation are addressed. Invariance of the squared modulus of the scattering amplitude holds for translation and reflection. The transformation Tε := 133ℓ=1εAℓ, with {ε;} real and {A} the generators of rotations in IR3, is investigated. Conditions on the {ε} are derived, by which the scattering amplitude coming from the first BORN approximation is invariant to Tε. As an application, these “false symmetries” are compared to those induced by limited angular resolution of a detector in light scattering experiments. Namely, scattering patterns are made available by the TAOS (Two-dimensional Angle-resolved Optical Scattering) method, which consists of detecting single airborne aerosol particles and collecting the intensity of the light they scatter from a pulsed, monochromatic laser beam. The optics and the detector properties determine the resolution at which a pattern is saved. The implications on the performance of TAOS pattern analysis are briefly discussed.

Paper Details

Date Published: 28 May 2014
PDF: 9 pages
Proc. SPIE 9121, Multisensor, Multisource Information Fusion: Architectures, Algorithms, and Applications 2014, 91210I (28 May 2014); doi: 10.1117/12.2049577
Show Author Affiliations
Giovanni F. Crosta, Univ. degli Studi di Milano-Bicocca (Italy)
Gorden Videen, U.S. Army Research Lab. (United States)

Published in SPIE Proceedings Vol. 9121:
Multisensor, Multisource Information Fusion: Architectures, Algorithms, and Applications 2014
Jerome J. Braun, Editor(s)

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