Exact partial wave expansion of optical beams with respect to an arbitrary origin.
Using an analytical expression for an integral involving Bessel and Legendre functions, we succeed in obtaining the partial wave decomposition of a general optical beam at an arbitrary location relative to the origin. We also showed that solid angle integration will eliminate the radial dependence of the expansion coefficients. The beam shape coefficients obtained are given by an exact expression in terms of single or double integrals. These integrals can be evaluated numerically on a short time scale. We present the results for the case of a linear-polarized Gaussian beam.
Neves
Antonio Alvaro Ranha
AA
Instituto de Física, Universidade Estadual de Campinas, 13083-970 Campinas, Brazil. aneves@ifi.unicamp.br
Fontes
Adriana
A
Padilha
Lazaro Aurelio
LA
Rodriguez
Eugenio
E
Cruz
Carlos Henrique de Brito
CH
Barbosa
Luiz Carlos
LC
Cesar
Carlos Lenz
CL