Please use this identifier to cite or link to this item: https://doi.org/10.1364/JOSAA.24.001211
Title: High-aperture beams: Reply to comment
Authors: Sheppard, C.J.R. 
Issue Date: Apr-2007
Source: Sheppard, C.J.R. (2007-04). High-aperture beams: Reply to comment. Journal of the Optical Society of America A: Optics and Image Science, and Vision 24 (4) : 1211-1213. ScholarBank@NUS Repository. https://doi.org/10.1364/JOSAA.24.001211
Abstract: Seshadri's claim [J. Opt. Soc. A 23, 3238 (2006)] that the singularity in the simple complex-source point model is not nonphysical is disputed. The branch cut behavior is further discussed. Two different forms for the complex-source point model for a Gaussian beam are identified, corresponding to different choices for the sign of a square root or in terms of oblate spheroidal coordinates to two different branch cuts. One of these solutions corresponds to a beamlike solution, while the second gives a wave that radiates outward from the source. Both exhibit nonphysical singularities. These singularities are avoided by using a complex-source/sink model. The choice of branch cut is also important in defining the oblate spheroidal beams, based on spheroidal harmonics. © 2007 Optical Society of America.
Source Title: Journal of the Optical Society of America A: Optics and Image Science, and Vision
URI: http://scholarbank.nus.edu.sg/handle/10635/67960
ISSN: 10847529
DOI: 10.1364/JOSAA.24.001211
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