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Optics Letters

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  • Editor: Alan E. Willner
  • Vol. 33, Iss. 14 — Jul. 15, 2008
  • pp: 1563–1565

Nonparaxial TM and TE beams in free space

Alexandre April  »View Author Affiliations


Optics Letters, Vol. 33, Issue 14, pp. 1563-1565 (2008)
http://dx.doi.org/10.1364/OL.33.001563


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Abstract

Expressions for the fields of TM and TE laser beams in free space that are rigorous solutions to Maxwell’s equations are given in a closed form. The electric and the magnetic fields are both expressed in terms of nonparaxial elegant Laguerre–Gaussian beams that are exact solutions of the Helmholtz equation. These solutions involve well-known functions, such as spherical Bessel and associated Legendre functions. Radially and azimuthally polarized beams of arbitrary order are considered, and the lowest-order radially polarized beam ( TM 01 beam) is investigated in detail.

© 2008 Optical Society of America

OCIS Codes
(030.4070) Coherence and statistical optics : Modes
(140.3430) Lasers and laser optics : Laser theory
(260.1960) Physical optics : Diffraction theory
(260.5430) Physical optics : Polarization

ToC Category:
Physical Optics

History
Original Manuscript: May 1, 2008
Manuscript Accepted: May 28, 2008
Published: July 9, 2008

Citation
Alexandre April, "Nonparaxial TM and TE beams in free space," Opt. Lett. 33, 1563-1565 (2008)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-33-14-1563


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