Eur. Phys. J. D (2015) 69: 81
https://doi.org/10.1140/epjd/e2015-50777-4

Regular Article

Propagation of vectorial multi-Gaussian Schell-model beams beyond the paraxial approximation

Department of Physics, Longdong University, Qingyang, Gansu 745000, P.R. China

^a e-mail: zhanghanmou2008@126.com

Received: 31 October 2014
Received in final form: 5 November 2014
Published online: 19 March 2015

Abstract

Based on the vectorial Rayleigh-Sommerfeld formulas, the concept of vectorial non-paraxial multi-Gaussian Schell-model beams is introduced. The explicit expressions for the intensity distribution and degree of polarization of the vectorial non-paraxial multi-Gaussian Schell-model beams in free space were derived. The paraxial approximation is treated as a special case of our general expressions. The effect of the beam parameters on the intensity distribution and polarization property are investigated analytically and numerically when the longitudinal components is considered.