TY - JOUR
T1 - Exact partial wave expansion of optical beams with respect to an arbitrary origin
AU - Neves, Antonio Alvaro Ranha
AU - Fontes, Adriana
AU - Padilha, Lazaro Aurelio
AU - Rodriguez, Eugenio
AU - De Brito Cruz, Carlos Henrique
AU - Barbosa, Luiz Carlos
AU - Cesar, Carlos Lenz
PY - 2006/8/15
Y1 - 2006/8/15
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=33749504174&partnerID=8YFLogxK
U2 - 10.1364/OL.31.002477
DO - 10.1364/OL.31.002477
M3 - Artículo
AN - SCOPUS:33749504174
SN - 0146-9592
VL - 31
SP - 2477
EP - 2479
JO - Optics Letters
JF - Optics Letters
IS - 16
ER -