Open AccessThe expansion coefficients of arbitrary shaped beam in oblique illumination
Author(s) -
Yiping Han,
Huayong Zhang,
Gaorong Han
Publication year - 2007
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.15.000735
Subject(s) - optics , beam (structure) , physics , oblique case , light beam , plane (geometry) , geometry , mathematics , philosophy , linguistics
In generalized Lorenz-Mie theories, (GLMTs), the most difficult task concerns the description of the illuminating beam. We provide an approach for expansions of the incident arbitrary shaped beam in spherical and spheroidal coordinates in the general case of oblique illumination. The representations for shaped beam coefficients are derived by using addition theorem for spherical vector wave functions under coordinate rotations. For the special cases of the particle center located on shaped beam axis and plane wave, the simplified expressions are given. The convergence of the beam shape coefficients is discussed.