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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 22, Iss. 3 — Mar. 1, 2005
  • pp: 655–674

Three-dimensional view of signal propagation in femtosecond four-wave mixing with application to the boxcars geometry

Nadia Belabas and David M. Jonas  »View Author Affiliations

JOSA B, Vol. 22, Issue 3, pp. 655-674 (2005)

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Maxwell’s equations for the apparently complicated generation and propagation of femtosecond four-wave-mixing signals in optically thick samples can be solved by triple Fourier transformation into the three-dimensional (3D) frequency domain. Given the linear absorption and refractive-index spectra, the propagation problem can be solved in three dimensions under the assumption that nonlinear distortions of the excitation pulses can be neglected. A propagation function exactly incorporates the linear evolution of the excitation pulses, the nonlinear generation of the signal, and the linear propagation of the signal. A quantitative treatment of the directional filtering of the 3D susceptibility that arises from excitation with noncollinear pulses and selective interference detection of signal in one phase-matched direction is developed. This 3D treatment is used to examine the influence of phase-matching bandwidth, directional filtering, and sample absorption on femtosecond four-wave-mixing signals in the rectangular and square boxcars phase-matching geometries.

© 2005 Optical Society of America

OCIS Codes
(300.2570) Spectroscopy : Four-wave mixing
(320.7110) Ultrafast optics : Ultrafast nonlinear optics
(350.5500) Other areas of optics : Propagation

Nadia Belabas and David M. Jonas, "Three-dimensional view of signal propagation in femtosecond four-wave mixing with application to the boxcars geometry," J. Opt. Soc. Am. B 22, 655-674 (2005)

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