Document Type
Article
Publication Date
12-1-1995
Publication Title
Journal of the Optical Society of America A: Optics Image Science and Vision
Abstract
It is shown that when an electromagnetic wave with some degree of amplitude rolloff in the transverse direction is scattered by a spherical particle, the optical theorem is not valid. For such shaped beams the extinction cross section may be written as an infinite series in powers of the reciprocal of the beam width. The imaginary part of the forward-scattering amplitude is shown to be the first term in this series. Two approximations to based on the dominance of diffraction in the forward direction for w(0) greater than or similar to a, where w(0) is the beam half-width and a is the target particle radius. The second approximation, valid for w(0) less than or similar to a, is based on transmission-compensating field interference. (C) 1995 Optical Society of America.
Repository Citation
Lock, James A.; Hodges, Joseph T.; and Gouesbet, Gérard, "Failure of the Optical Theorem for Gaussian-Beam Scattering by a Spherical Particle" (1995). Physics Faculty Publications. 26.
https://engagedscholarship.csuohio.edu/sciphysics_facpub/26
Original Citation
Lock, James A., Joseph T. Hodges, and Gérard Gouesbet. "Failure of the Optical Theorem for Gaussian-Beam Scattering by a Spherical Particle." Journal of the Optical Society of America A: Optics Image Science and Vision 12 (1995): 2708-2715.
DOI
10.1364/JOSAA.12.002708
Version
Publisher's PDF
Publisher's Statement
This paper was published in Journal of the Optical Society of America A: Optics Image Science and Vision and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-12-12-2708. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.
Volume
12
Issue
12