Nonparaxial propagation of Hermite-Laguerre-Gaussian beams in uniaxial crystal orthogonal to the optical axis

doi:10.1088/1674-1056/22/6/064101

Abstract Analytical expressions for the three components of the nonparaxial propagation of a Hermite-Laguerre-Gaussian (HLG) beam in uniaxial crystal orthogonal to the optical axis are derived. The intensity distribution of an HLG beam and its three components propagating in a uniaxial crystal orthogonal to the optical axis are demonstrated by numerical examples. Although the y and z components of an HLG beam in the incident plane are both equal to zero, they emerge upon propagation inside the uniaxial crystal. Moreover, the beam profile of the x component is relatively stable and the beam profiles of the y and z components have the same evolution law. If the ratio of the extraordinary refractive index to the ordinary refractive index is larger than unity, the beam profile of the HLG beam is elongated in the x direction and generally rotates clockwise. Otherwise, the beam profile of the HLG beam is elongated in the y direction and generally rotates anticlockwise. This research is beneficial to the optical trapping and nonlinear optics involved in the rotation of the beam profile.

Keywords: Hermite-Laguerre-Gaussian beam uniaxial crystal nonparaxial propagation

Received: 20 July 2012
Revised: 24 October 2012
Accepted manuscript online:

PACS:	41.85.Ew	(Particle beam profile, beam intensity)
	42.25.Bs	(Wave propagation, transmission and absorption)
	42.60.Jf	(Beam characteristics: profile, intensity, and power; spatial pattern formation)
	42.70.-a	(Optical materials)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10974179 and 61178016), the Zhejiang Provincial Natural Science Foundation, China (Grant No. Y1090073), and the Key Project of the Education Commission of Zhejiang Province, China (Grant No. Z201120128).

Corresponding Authors: Zhou Guo-Quan
E-mail: zhouguoquan178@sohu.com

Cite this article:

Xu Yi-Qing (徐一清), Zhou Guo-Quan (周国泉), Wang Xiao-Gang (汪小刚) Nonparaxial propagation of Hermite-Laguerre-Gaussian beams in uniaxial crystal orthogonal to the optical axis 2013 Chin. Phys. B 22 064101

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Nonparaxial propagation of Hermite-Laguerre-Gaussian beams in uniaxial crystal orthogonal to the optical axis

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