Publication Date
3-1-1997
Abstract
I expand the radiation potential of an arbitrary monochromatic electromagnetic wave in the cylindrical coordinate eigenfunctions of the scalar Helmholtz equation. Since the resulting beam shape coefficients are found to be an inverse Fourier transform of the z component of the beam fields, the incident Gaussian beam is parameterized by a Fourier angular spectrum of plane waves. The beam's partial-wave coefficients are then obtained, as well as the scattered fields produced by the interaction of the beam with an infinitely long homogeneous circular cylinder. The fields are evaluated analytically in the far zone by the method of stationary phase, and the physical interpretation of the results are discussed extensively. (C) 1997 Optical Society of America.
DOI
10.1364/JOSAA.14.000640
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-14-3-640. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.
Citation Information
Lock, James A. "Scattering of a Diagonally Incident Focused Gaussian Beam by an Infinitely Long Homogeneous Circular Cylinder."
Journal of the Optical Society of America A: Optics Image Science and Vision 14 (1997): 640-652.
