Generalized Lorenz-Mie theory describes electromagnetic scattering of an arbitrary light beam by a spherical particle. The computationally most expensive feature of the theory is the evaluation of the beam-shape coefficients, which give the decomposition of the incident light beam into partial waves. The so-called localized approximation to these coefficients for a focused Gaussian beam is an analytical function whose use greatly simplifies Gaussian-beam scattering calculations. A mathematical justification and physical interpretation of the localized approximation is presented for on-axis beams.
Rigorous Justification of the Localized Approximation to the Beam Shape Coefficients in Generalized Lorenz-Mie Theory .1. On-Axis BeamsJournal of the Optical Society of America A: Optics Image Science and Vision
Publisher's StatementThis 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-11-9-2503. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.
Citation InformationLock, James A. and Gérard Gouesbet. "Rigorous Justification of the Localized Approximation to the Beam Shape Coefficients in Generalized Lorenz-Mie Theory .1. On-Axis Beams." Journal of the Optical Society of America A: Optics Image Science and Vision 11 (1994): 2503-2515.