Theory of forward degenerate four-wave mixing in two-level saturable absorbers

Dai Hyuk Yu, Jai Hyung Lee, Joon Sung Chang, Jae Won Hahn

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

A theoretical description for a forward degenerate four-wave mixing process in homogeneously broadened two-level absorbers with arbitrary intensities of all four beams is presented. Assuming no pump absorption and depletion, we obtain an analytical solution of forward degenerate four-wave mixing signal intensity in the limit of the strong pumps and weak probe and signal. In the case of low absorption or large detuning, this solution is shown to become equivalent to that of the phase-conjugate degenerate four-wave mixing derived by Abrams and Lind [Opt. Lett. 2, 94 (1978)]. For arbitrary beam intensities and absorption parameters, the signal intensity is numerically calculated by solution of the coupled equations of complex wave amplitudes. Comparing the results of the numerical calculation with those of the analytical solution, we discuss the validity of using the analytical solution in practical experiments and show the saturation behavior that is due to the strong probe beam. The line shapes under the various ratios among the input beams and absorption parameters are also obtained and discussed.

Original languageEnglish
Pages (from-to)1261-1268
Number of pages8
JournalJournal of the Optical Society of America B: Optical Physics
Volume16
Issue number8
DOIs
Publication statusPublished - 1999 Jan 1

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four-wave mixing
absorbers
pumps
probes
line shape
depletion
saturation

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Atomic and Molecular Physics, and Optics

Cite this

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abstract = "A theoretical description for a forward degenerate four-wave mixing process in homogeneously broadened two-level absorbers with arbitrary intensities of all four beams is presented. Assuming no pump absorption and depletion, we obtain an analytical solution of forward degenerate four-wave mixing signal intensity in the limit of the strong pumps and weak probe and signal. In the case of low absorption or large detuning, this solution is shown to become equivalent to that of the phase-conjugate degenerate four-wave mixing derived by Abrams and Lind [Opt. Lett. 2, 94 (1978)]. For arbitrary beam intensities and absorption parameters, the signal intensity is numerically calculated by solution of the coupled equations of complex wave amplitudes. Comparing the results of the numerical calculation with those of the analytical solution, we discuss the validity of using the analytical solution in practical experiments and show the saturation behavior that is due to the strong probe beam. The line shapes under the various ratios among the input beams and absorption parameters are also obtained and discussed.",
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Theory of forward degenerate four-wave mixing in two-level saturable absorbers. / Yu, Dai Hyuk; Lee, Jai Hyung; Chang, Joon Sung; Hahn, Jae Won.

In: Journal of the Optical Society of America B: Optical Physics, Vol. 16, No. 8, 01.01.1999, p. 1261-1268.

Research output: Contribution to journalArticle

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