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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. 15, Iss. 10 — Oct. 1, 1998
  • pp: 2712–2719

Electromagnetic Gaussian beam

S. R. Seshadri  »View Author Affiliations


JOSA A, Vol. 15, Issue 10, pp. 2712-2719 (1998)
http://dx.doi.org/10.1364/JOSAA.15.002712


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Abstract

The governing equations for the paraxial approximation are deduced from Maxwell’s equations. The plane wave, in the paraxial approximation, is found to be transverse electromagnetic. For a field distribution at the input plane having a general azimuthal variation and a radial variation in the form of a Bessel function of an integer order with a Gaussian envelope of a given waist size, the spreading due to the Fresnel diffraction is determined as the paraxial beam is transported in the axial direction. The effects of Fresnel diffraction are illustrated with examples for a beam transporting unit power. Diffraction patterns of azimuthally symmetrical and dipolar modes are presented.

© 1998 Optical Society of America

OCIS Codes
(090.1970) Holography : Diffractive optics
(260.1960) Physical optics : Diffraction theory

History
Original Manuscript: March 24, 1998
Revised Manuscript: June 29, 1998
Manuscript Accepted: June 2, 1998
Published: October 1, 1998

Citation
S. R. Seshadri, "Electromagnetic Gaussian beam," J. Opt. Soc. Am. A 15, 2712-2719 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-10-2712

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