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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

  • Vol. 16, Iss. 10 — Oct. 1, 1999
  • pp: 2494–2499

Corrections to the paraxial approximation solutions in transversely nonuniform refractive-index media

Qing Cao  »View Author Affiliations


JOSA A, Vol. 16, Issue 10, pp. 2494-2499 (1999)
http://dx.doi.org/10.1364/JOSAA.16.002494


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Abstract

The coupled differential recurrence equations for the corrections to the paraxial approximation solutions in transversely nonuniform refractive-index media are established in terms of the perturbation method. All the corrections (including the longitudinal field corrections) to the paraxial approximation solutions are presented in the weak-guidance approximation. As a concrete application, the first-order longitudinal field correction and the second-order transverse field correction to the paraxial approximation of a Gaussian beam propagating in a transversely quadratic refractive index medium are analytically investigated.

© 1999 Optical Society of America

OCIS Codes
(060.2310) Fiber optics and optical communications : Fiber optics
(350.5500) Other areas of optics : Propagation

History
Original Manuscript: January 13, 1999
Revised Manuscript: April 15, 1999
Manuscript Accepted: April 15, 1999
Published: October 1, 1999

Citation
Qing Cao, "Corrections to the paraxial approximation solutions in transversely nonuniform refractive-index media," J. Opt. Soc. Am. A 16, 2494-2499 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-10-2494

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