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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 27, Iss. 7 — Jul. 1, 2010
  • pp: 1708–1715

Complex space source theory of partially coherent light wave

S. R. Seshadri  »View Author Affiliations

JOSA A, Vol. 27, Issue 7, pp. 1708-1715 (2010)

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The complex space source theory is used to derive a general integral expression for the vector potential that generates the extended full Gaussian wave in terms of the input value of the vector potential of the corresponding paraxial beam. The vector potential and the fields are assumed to fluctuate on a time scale that is large compared to the wave period. The Poynting vector in the propagation direction averaged over a wave period is expressed in terms of the cross-spectral density of the fluctuating vector potential across the input plane. The Schell model is assumed for the cross-spectral density. The radiation intensity distribution and the power radiated are determined. The effect of spatial coherence on the radiation intensity distribution and the radiated power are investigated for different values of the physical parameters. Illustrative numerical results are provided to bring out the effect of spatial coherence on the propagation characteristics of the fluctuating light wave.

© 2010 Optical Society of America

OCIS Codes
(030.1670) Coherence and statistical optics : Coherent optical effects
(090.1970) Holography : Diffractive optics
(260.1960) Physical optics : Diffraction theory
(260.2110) Physical optics : Electromagnetic optics

ToC Category:
Physical Optics

Original Manuscript: January 4, 2010
Revised Manuscript: April 7, 2010
Manuscript Accepted: May 28, 2010
Published: June 24, 2010

S. R. Seshadri, "Complex space source theory of partially coherent light wave," J. Opt. Soc. Am. A 27, 1708-1715 (2010)

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  1. S. R. Seshadri, “Linearly polarized anisotropic Gaussian light wave,” J. Opt. Soc. Am. A 26, 1582–1587 (2009). [CrossRef]
  2. S. R. Seshadri, “Full-wave generalizations of the fundamental Gaussian beam,” J. Opt. Soc. Am. A 26, 2515–2520 (2009). [CrossRef]
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  14. S. R. Seshadri, “Dynamics of the linearly polarized fundamental Gaussian light wave,” J. Opt. Soc. Am. A 24, 482–492 (2007). [CrossRef]
  15. M. W. Kowarz and E. Wolf, “Conservation laws for partially coherent free fields,” J. Opt. Soc. Am. A 10, 88–94 (1993). [CrossRef]

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