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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. 30, Iss. 6 — Jun. 1, 2013
  • pp: 1172–1179

Behavior of obliquely incident vector Bessel beams at planar interfaces

Mohamed A. Salem and Hakan Bağcı  »View Author Affiliations


JOSA A, Vol. 30, Issue 6, pp. 1172-1179 (2013)
http://dx.doi.org/10.1364/JOSAA.30.001172


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Abstract

We investigate the behavior of full-vector electromagnetic Bessel beams obliquely incident at an interface between two electrically different media. We employ a Fourier transform domain representation of Bessel beams to determine their behavior upon reflection and transmission. This transform, which is geometric in nature, consists of elliptical support curves with complex weighting associated with them. The behavior of the scattered field at an interface is highly complex, owing to its full-vector nature; nevertheless, this behavior has a straightforward representation in the transform domain geometry. The analysis shows that the reflected field forms a different vector Bessel beam, but in general, the transmitted field cannot be represented as a Bessel beam. Nevertheless, using this approach, we demonstrate a method to propagate a Bessel beam in the refractive medium by launching a non-Bessel beam at the interface. Several interesting phenomena related to the behavior of Bessel beams are illustrated, such as polarized reflection at Brewster’s angle incidence, and the Goos–Hänchen and Imbert–Federov shifts in the case of total reflection.

© 2013 Optical Society of America

OCIS Codes
(080.0080) Geometric optics : Geometric optics
(240.0240) Optics at surfaces : Optics at surfaces
(070.3185) Fourier optics and signal processing : Invariant optical fields

ToC Category:
Fourier Optics and Signal Processing

History
Original Manuscript: February 19, 2013
Revised Manuscript: April 16, 2013
Manuscript Accepted: April 20, 2013
Published: May 16, 2013

Citation
Mohamed A. Salem and Hakan Bağcı, "Behavior of obliquely incident vector Bessel beams at planar interfaces," J. Opt. Soc. Am. A 30, 1172-1179 (2013)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-30-6-1172


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