Eur. Phys. J. D (2015) 69: 218
https://doi.org/10.1140/epjd/e2015-60322-2

Regular Article

Evolution properties of four-petal Gaussian vortex beam propagating in uniaxial crystals orthogonal to the optical axis

¹ Department of Physics, Dalian Maritime University, Dalian, 11626, P.R. China
² College of Pharmacy Heilongjiang University of Chinese Medicine, Harbin, 150040, P.R. China

^a e-mail: liudajun@dlmu.edu.cn
^b e-mail: ycwang@dlmu.edu.cn

Received: 1 June 2015
Received in final form: 18 July 2015
Published online: 22 September 2015

Abstract

The analytical propagation formulae of the four-petal Gaussian vortex beam propagating in uniaxial crystals orthogonal to the optical axis are derived, and some analyses are illustrated by numerical examples related to the evolution properties (intensity and phase) of four-petal Gaussian vortex beams in detail. The influences of beam order N, topological charge M and the ratio of refractive index n_e/n_o on the normalized intensity distribution and phase distribution are discussed.