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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 31, Iss. 4 — Apr. 1, 2014
  • pp: 872–878

Nonparaxial propagation of Lorentz–Gauss beams in uniaxial crystal orthogonal to the optical axis

Xun Wang, Zhirong Liu, and Daomu Zhao  »View Author Affiliations


JOSA A, Vol. 31, Issue 4, pp. 872-878 (2014)
http://dx.doi.org/10.1364/JOSAA.31.000872


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Abstract

Analytical expressions for the three components of nonparaxial propagation of a polarized Lorentz–Gauss beam in uniaxial crystal orthogonal to the optical axis are derived and used to investigate its propagation properties in uniaxial crystal. The influences of the initial beam parameters and the parameters of the uniaxial crystal on the evolution of the beam-intensity distribution in the uniaxial crystal are examined in detail. Results show that the statistical properties of a nonparaxial Lorentz–Gauss beam in a uniaxial crystal orthogonal to the optical axis are closely determined by the initial beam’s parameters and the parameters of the crystal: the beam waist sizes—w0, w0x, and w0y—not only affect the size and shape of the beam profile in uniaxial crystal but also determine the nonparaxial effect of a Lorentz–Gauss beam; the beam profile of a Lorentz–Gauss beam in uniaxial crystal is elongated in the x or y direction, which is determined by the ratio of the extraordinary refractive index to the ordinary refractive index; with increasing deviation of the ratio from unity, the extension of the beam profile augments. The results indicate that uniaxial crystal provides an effective and convenient method for modulating the Lorentz–Gauss beams. Our results may be valuable in some fields, such as optical trapping and nonlinear optics, where a light beam with a special profile and polarization is required.

© 2014 Optical Society of America

OCIS Codes
(260.1180) Physical optics : Crystal optics
(260.1960) Physical optics : Diffraction theory
(350.5500) Other areas of optics : Propagation

ToC Category:
Physical Optics

History
Original Manuscript: January 6, 2014
Revised Manuscript: February 25, 2014
Manuscript Accepted: February 25, 2014
Published: March 31, 2014

Citation
Xun Wang, Zhirong Liu, and Daomu Zhao, "Nonparaxial propagation of Lorentz–Gauss beams in uniaxial crystal orthogonal to the optical axis," J. Opt. Soc. Am. A 31, 872-878 (2014)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-31-4-872

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