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Optics Letters

Optics Letters


  • 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)

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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

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

Alexandre April, "Nonparaxial TM and TE beams in free space," Opt. Lett. 33, 1563-1565 (2008)

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