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Optics Letters

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  • Vol. 14, Iss. 7 — Apr. 1, 1989
  • pp: 367–369

Nonlinear Gaussian expansions of stochastic processes: super-Gaussian effects in coherent anti-Stokes Raman spectroscopy

Albert M. F. Lau and Roger L. Farrow  »View Author Affiliations


Optics Letters, Vol. 14, Issue 7, pp. 367-369 (1989)
http://dx.doi.org/10.1364/OL.14.000367


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Abstract

We propose a new approach to the analysis of stochastic processes (such as fluctuating laser fields) with super-Gaussian statistics: the expansion of stochastic processes in terms of first and higher powers of Gaussian components, which are used like a basis set. This approach is applied to treat the super-Gaussian correlation effects observed in coherent anti-Stokes Raman scattering experiments using frequency-doubled pump laser fields. Our results give much better agreement with experimental data than previous theories do.

© 1989 Optical Society of America

History
Original Manuscript: September 30, 1988
Manuscript Accepted: January 17, 1989
Published: April 1, 1989

Citation
Albert M. F. Lau and Roger L. Farrow, "Nonlinear Gaussian expansions of stochastic processes: super-Gaussian effects in coherent anti-Stokes Raman spectroscopy," Opt. Lett. 14, 367-369 (1989)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-14-7-367


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References

  1. L. Mandel, E. Wolf, Rev. Mod. Phys. 37, 231 (1965). [CrossRef]
  2. A. A. Grutter, H. P. Weber, R. Dandliker, Phys. Rev. 185, 629 (1969). [CrossRef]
  3. M. A. Duguay, J. W. Hansen, S. L. Shapiro, IEEE J. Quantum Electron. QE-6, 725 (1970). [CrossRef]
  4. L. A. Rahn, R. L. Farrow, R. P. Lucht, Opt. Lett. 9, 223 (1984). [CrossRef] [PubMed]
  5. R. L. Farrow, L. A. Rahn, J. Opt. Soc. Am. B 2, 903 (1985). [CrossRef]
  6. R. J. Hall, Opt. Commun. 56, 127 (1985). [CrossRef]
  7. R. J. Hall, Opt. Quantum Electron. 18, 319 (1986). [CrossRef]
  8. G. S. Agarwal, R. L. Farrow, J. Opt. Soc. Am. B 3, 1596 (1986). [CrossRef]
  9. W. M. Huo, K. P. Gross, R. L. McKenzie, Phys. Rev. Lett. 54, 1012 (1985). Both the Gaussian and the non-Gaussian (the time-dependent and spatially variant models) cases were treated here. [CrossRef] [PubMed]
  10. M. Aldén, D. A. Greenhalgh, R. J. Hall, Department of Physics, Lund Institute of Technology, Lund, Sweden (personal communication).
  11. If needed, one may add an independent zeroth-order term G0 to account for sub-Gaussian statistics. In some application this G0 term may be a coherent field [J. H. Churnside, Opt. Commun. 51, 207 (1984)]. [CrossRef]
  12. C. Radzewicz, Z. W. Li, M. G. Raymer, Phys. Rev. A 37, 2039 (1988); Opt. Lett. 13, 491 (1988). [CrossRef] [PubMed]
  13. N. G. Van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, New York, 1981).
  14. R. Loudon, The Quantum Theory of Light, 2nd ed. (Oxford U. Press, Oxford, 1983), p. 83.

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