Partial-Wave Expansions of Angular Spectra of Plane WavesJournal of the Optical Society of America A: Optics Image Science and Vision
AbstractFocused electromagnetic beams are frequently modeled by either an angular spectrum of plane waves or a partial-wave sum of spherical multipole waves. The connection between these two beam models is explored here. The partial-wave expansion of an angular spectrum containing evanescent components is found to possess only odd partial waves. On the other hand, the partial-wave expansion of an alternate angular spectrum constructed so as to be free of evanescent components contains all partial waves but describes a propagating beam with a small amount of standing-wave component mixed in. A procedure is described for minimizing the standing-wave component so as to more accurately model a purely forward propagating experimental beam. (c) 2006 Optical Society of America.
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-23-11-2803. 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. "Partial-Wave Expansions of Angular Spectra of Plane Waves." Journal of the Optical Society of America A: Optics Image Science and Vision 23 (2006): 2803-2809.