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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. 27, Iss. 5 — May. 1, 2010
  • pp: 1162–1170

Basic full-wave generalization of the real-argument Hermite–Gauss beam

S. R. Seshadri  »View Author Affiliations


JOSA A, Vol. 27, Issue 5, pp. 1162-1170 (2010)
http://dx.doi.org/10.1364/JOSAA.27.001162


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Abstract

The linearly polarized real-argument Hermite–Gauss beam is investigated by the Fourier transform method. The complex power is obtained and the reactive power of the paraxial beam is found to be zero. The complex space source required for the full-wave generalization of the real-argument Hermite–Gauss beam is deduced. The resulting basic full real-argument Hermite–Gauss wave is determined. The real and the reactive powers of the full wave are evaluated. The reactive power of the basic full real-argument Hermite–Gauss wave is infinite, and the reasons for this singularity are described. The real power depends on k w 0 , m, and n, where k is the wavenumber, w 0 is the e-folding distance of the Gaussian part of the input distribution, and m and n are the mode numbers. The variation in the real power with respect to changes in k w 0 for specified m and n as well as with respect to changes in m and n for a specified k w 0 is examined.

© 2010 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(260.1960) Physical optics : Diffraction theory
(260.2110) Physical optics : Electromagnetic optics

ToC Category:
Physical Optics

History
Original Manuscript: December 11, 2009
Manuscript Accepted: February 9, 2010
Published: April 29, 2010

Citation
S. R. Seshadri, "Basic full-wave generalization of the real-argument Hermite–Gauss beam," J. Opt. Soc. Am. A 27, 1162-1170 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-5-1162


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References

  1. S. R. Seshadri, “Reactive power in the full Gaussian light wave,” J. Opt. Soc. Am. A 26, 2427–2433 (2009). [CrossRef]
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  10. S. R. Seshadri, “Dynamics of the linearly polarized fundamental Gaussian light wave,” J. Opt. Soc. Am. A 24, 482–492 (2007). [CrossRef]
  11. S. R. Seshadri, “Full-wave generalizations of the fundamental Gaussian beam,” J. Opt. Soc. Am. A 26, 2515–2520 (2009). [CrossRef]
  12. S. R. Seshadri, Fundamentals of Transmission Lines and Electromagnetic Fields (Addison-Wesley, 1971).

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