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Applied Optics

Applied Optics


  • Vol. 35, Iss. 33 — Nov. 20, 1996
  • pp: 6522–6526

Two-frequency mutual coherence function of a Gaussian beam pulse in weak optical turbulence: an analytic solution

C. Y. Young, A. Ishimaru, and L. C. Andrews  »View Author Affiliations

Applied Optics, Vol. 35, Issue 33, pp. 6522-6526 (1996)

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Pulse propagation in a random medium is studied through the calculation of the two-frequency mutual coherence function. An exact integral representation is formulated for the two-frequency mutual coherence function of a Gaussian beam pulse propagating in a weakly fluctuating random medium. Based on the modified von Karman spectrum for refractive-index fluctuations, an analytic approximation to the integral representation is presented and compared with exact numerical results.

© 1996 Optical Society of America

Original Manuscript: November 29, 1995
Revised Manuscript: April 25, 1996
Published: November 20, 1996

C. Y. Young, A. Ishimaru, and L. C. Andrews, "Two-frequency mutual coherence function of a Gaussian beam pulse in weak optical turbulence: an analytic solution," Appl. Opt. 35, 6522-6526 (1996)

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  1. S. T. Hong, A. Ishimaru, “Two-frequency mutual coherence function, coherence bandwidth, and coherence time of millimeter and optical waves in rain, fog, and turbulence,” Radio Sci. 11, 551–559 (1976). [CrossRef]
  2. I. Sreenivasiah, A. Ishimaru, S.-T. Hong, “Two-frequency mutual coherence function and pulse propagation in a random medium: an analytic solution to the plane wave case,” Radio Sci. 11, 775–778 (1976). [CrossRef]
  3. I. Sreenivasiah, A. Ishimaru, “Beam wave two-frequency mutual-coherence function and pulse propagation in random media: an analytic solution,” Appl. Opt. 18, 1613–1618 (1979). [CrossRef] [PubMed]
  4. V. I. Tatarskii, The Effects of Turbulent Atmosphere on Wave Propagation (U.S. Department of Commerce, National Technical Information Service, Springfield, Va., 1971).
  5. H. T. Yura, C. C. Sung, S. F. Clifford, R. J. Hill, “Second-order Rytov approximation,” J. Opt. Soc. Am. 73, 500–502 (1983). [CrossRef]
  6. W. B. Miller, J. C. Ricklin, L. C. Andrews, “Log-amplitude variance and wave structure function: a new perspective for Gaussian beams,” J. Opt. Soc. Am. A 10, 661–672 (1993). [CrossRef]
  7. H. T. Yura, S. G. Hanson, “Second-order statistics for wave propagation through complex optical systems,” J. Opt. Soc. Am. A 6, 564–575 (1989). [CrossRef]
  8. L. C. Andrews, W. B. Miller, “Single-pass and double-pass propagation through complex paraxial optical systems,” J. Opt. Soc. Am. A 12, 137–150 (1995). [CrossRef]
  9. L. C. Andrews, “An analytic model for the refractive index power spectrum and its application to optical scintillations in the atmosphere,” J. Mod. Opt. 39, 1849–1853 (1992). [CrossRef]

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