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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 17, Iss. 4 — Apr. 1, 2000
  • pp: 555–560

Propagation and transformation properties of an elliptic Gaussian optical beam with a Kerr-law nonlinear graded-index rod lens

Yucui Li  »View Author Affiliations


JOSA B, Vol. 17, Issue 4, pp. 555-560 (2000)
http://dx.doi.org/10.1364/JOSAB.17.000555


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Abstract

An elliptic Gaussian optical beam (EGB) in a Kerr-law nonlinear graded-index rod lens is treated as two dependent optical beams. Two coupled differential equations of the dimensionless beam-width parameters of two beams in the rod lens are derived by a variational approach and then solved for what is to my knowledge the first time. Investigations of the propagation and the collapse of the EGB in the rod lens and the transformation of the EGB by the rod lens are presented. It is concluded that the properties of propagation, collapse, and transformation are largely determined by the power and initial ellipticity of the incident EGB. The field derived also applies to the EGB propagating in a nonlinear graded-index fiber.

© 2000 Optical Society of America

OCIS Codes
(060.2350) Fiber optics and optical communications : Fiber optics imaging
(060.4370) Fiber optics and optical communications : Nonlinear optics, fibers
(110.2760) Imaging systems : Gradient-index lenses
(140.3510) Lasers and laser optics : Lasers, fiber
(190.3270) Nonlinear optics : Kerr effect
(190.4370) Nonlinear optics : Nonlinear optics, fibers

Citation
Yucui Li, "Propagation and transformation properties of an elliptic Gaussian optical beam with a Kerr-law nonlinear graded-index rod lens," J. Opt. Soc. Am. B 17, 555-560 (2000)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-17-4-555

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