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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. 12 — Dec. 1, 2013
  • pp: 2561–2571

Reflection of Laguerre–Gaussian beams carrying orbital angular momentum: a full Taylor expanded solution

Jun Ou, Yuesong Jiang, Jiahua Zhang, and Yuntao He  »View Author Affiliations


JOSA A, Vol. 30, Issue 12, pp. 2561-2571 (2013)
http://dx.doi.org/10.1364/JOSAA.30.002561


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Abstract

Partial reflection of linearly polarized Laguerre–Gaussian beams incident at a dielectric interface are studied beyond the paraxial regime. Based on the angular spectrum method and Taylor series expansion, we derive exact analytical expressions for the reflected electric field. This result holds in both the paraxial and nonparaxial regimes. The result is then extended to beams of arbitrary polarization and used to analytically calculate the transverse and longitudinal shifts of the beams’ center of gravity. Finally, several numerical examples are performed to verify the analytical formulas we derived near the Brewster angle.

© 2013 Optical Society of America

OCIS Codes
(120.5700) Instrumentation, measurement, and metrology : Reflection
(120.7000) Instrumentation, measurement, and metrology : Transmission
(260.2110) Physical optics : Electromagnetic optics

ToC Category:
Physical Optics

History
Original Manuscript: August 20, 2013
Revised Manuscript: October 21, 2013
Manuscript Accepted: October 21, 2013
Published: November 15, 2013

Citation
Jun Ou, Yuesong Jiang, Jiahua Zhang, and Yuntao He, "Reflection of Laguerre–Gaussian beams carrying orbital angular momentum: a full Taylor expanded solution," J. Opt. Soc. Am. A 30, 2561-2571 (2013)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-30-12-2561

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