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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: Stephen A. Burns
  • Vol. 26, Iss. 11 — Nov. 1, 2009
  • pp: 2427–2433

Reactive power in the full Gaussian light wave

S. R. Seshadri  »View Author Affiliations


JOSA A, Vol. 26, Issue 11, pp. 2427-2433 (2009)
http://dx.doi.org/10.1364/JOSAA.26.002427


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Abstract

The electric current sources that are required for the excitation of the fundamental Gaussian beam and the corresponding full Gaussian light wave are determined. The current sources are situated on the secondary source plane that forms the boundary between the two half-spaces in which the waves are launched. The electromagnetic fields and the complex power generated by the current sources are evaluated. For the fundamental Gaussian beam, the reactive power vanishes, and the normalization is chosen such that the real power is 2 W . The various full Gaussian waves are identified by the length parameter b t that lies in the range 0 b t b , where b is the Rayleigh distance. The other parameters are the wavenumber k, the free-space wavelength λ, and the beam waist w 0 at the input plane. The dependence of the real power of the full Gaussian light wave on b t b and w 0 λ is examined. For a specified w 0 λ , the reactive power, which can be positive or negative, increases as b t b is increased from 0 to 1 and becomes infinite for b t b = 1 . For a specified b t b , the reactive power approaches zero as k w 0 is increased and reaches the limiting value of zero of the paraxial beam.

© 2009 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:
Fourier Optics and Signal Processing

History
Original Manuscript: June 24, 2009
Revised Manuscript: September 23, 2009
Manuscript Accepted: September 24, 2009
Published: October 26, 2009

Citation
S. R. Seshadri, "Reactive power in the full Gaussian light wave," J. Opt. Soc. Am. A 26, 2427-2433 (2009)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-26-11-2427


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