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Analysis of Super-Gaussian Statistics of N-Harmonic Fields by Nonlinear Gaussian Expansions

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Coherence and Quantum Optics VI

Abstract

In this paper, 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. We apply this approach 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.

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References

  1. L. A. Rahn, R. L. Farrow, and R. P. Lucht, Opt. Lett. 2, 223 (1984).

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  2. G. S. Agarwal and R. L. Farrow, J. Opt. Soc. Am. B 3, 1596 (1986).

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  3. L. Mandel and E. Wolf, Rev. Mod. Phys. 37, 231 (1965).

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  4. R. Loudon, The Quantum Theory of Light, 2nd ed. ( Oxford University Press, Oxford, 1983 ), p. 83.

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  5. A. M. F. Lau and R. L. Farrow, Opt. Lett. 14, 367 (1989).

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© 1989 Plenum Press, New York

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Lau, A.M.F., Farrow, R.L. (1989). Analysis of Super-Gaussian Statistics of N-Harmonic Fields by Nonlinear Gaussian Expansions. In: Eberly, J.H., Mandel, L., Wolf, E. (eds) Coherence and Quantum Optics VI. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0847-8_118

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  • DOI: https://doi.org/10.1007/978-1-4613-0847-8_118

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-8112-2

  • Online ISBN: 978-1-4613-0847-8

  • eBook Packages: Springer Book Archive

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