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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 7 — Apr. 8, 2013
  • pp: 8493–8507

Anisotropic dynamics of optical vortex-beam propagating in biaxial crystals: a numerical method based on asymptotic expansion

Xiancong Lu and Lixiang Chen  »View Author Affiliations

Optics Express, Vol. 21, Issue 7, pp. 8493-8507 (2013)

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One difficulty of angular spectrum representation method in studying optical propagation inside anisotropic crystals is to calculate the double integrals containing highly oscillating functions. In this paper, we introduce an accuracy and numerically cheap method based on asymptotic expansion theory to overcome this difficulty, which therefore allows to compute optical fields with arbitrary incident beam and is not restricted to the paraxial limit. This numerical method is benchmarked against the analytical solutions in uniaxial crystals and excellent agreements between them are obtained. As an application, we adopt it to investigate the propagation of a Gaussian vortex-beam in a biaxial crystal. The general features of anisotropic dynamics and power conversion between field components are revealed. The numerical results is interpreted by making appropriate analytical approximation to the wave equations.

© 2013 OSA

OCIS Codes
(260.1180) Physical optics : Crystal optics
(260.1960) Physical optics : Diffraction theory
(050.4865) Diffraction and gratings : Optical vortices
(070.7345) Fourier optics and signal processing : Wave propagation

ToC Category:
Physical Optics

Original Manuscript: February 4, 2013
Revised Manuscript: March 20, 2013
Manuscript Accepted: March 22, 2013
Published: April 1, 2013

Xiancong Lu and Lixiang Chen, "Anisotropic dynamics of optical vortex-beam propagating in biaxial crystals: a numerical method based on asymptotic expansion," Opt. Express 21, 8493-8507 (2013)

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