Department of Physics, Luoyang Normal College, Luoyang 471022, China; Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China
Abstract:
Starting from the vectorial Rayleigh--Sommerfeld integrals, the
free-space propagation expressions for vectorial
Hermite--Laguerre--Gaussian (HLG) beams beyond the paraxial
approximation are derived. The far-field expressions and the
scalar paraxial results are given as special cases of our
general expressions. The intensity distributions of vectorial
nonparaxial HLG beams are studied and illustrated with numerical
examples.