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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 71, Iss. 2 — Feb. 1, 1981
  • pp: 180–183

Nondegenerate four-wave mixing in a Doppler-broadened resonant medium

Joseph Nilsen and Amnon Yariv  »View Author Affiliations

JOSA, Vol. 71, Issue 2, pp. 180-183 (1981)

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Third-order susceptibilities are calculated for a Doppler-broadened two-level system. The dependence of four-wave mixing on the angle θ between the pump and signal fields is studied, and the reflection coefficient is shown to have a narrow field of view that is inversely proportional to the ratio of the Doppler width to the homogeneous linewidth. For the collinear geometry, θ = 0°, the frequency dependence of the nondegenerate case is analyzed and shown capable of yielding a real-time narrow-bandwidth optical filter whose bandwidth is limited by the homogeneous linewidth.

© 1981 Optical Society of America

Joseph Nilsen and Amnon Yariv, "Nondegenerate four-wave mixing in a Doppler-broadened resonant medium," J. Opt. Soc. Am. 71, 180-183 (1981)

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  1. D. M. Bloom, P. F. Liao, and N. P. Economou, "Observation of amplified reflection by degenerate four-wave mixing in atomic sodium vapor," Opt. Lett. 2, 58 (1978).
  2. P. F. Liao, D. M. Bloom, and N. P. Economou, "Cw optical wave-front conjugation by saturated absorption in atomic sodium vapor," Appl. Phys. Lett. 32, 813 (1978).
  3. R. A. Fischer and B. J. Feldman, "On-resonant phase-conjugate reflection and amplification at 10.6 µm in inverted CO2," Opt. Lett. 4, 140 (1979).
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  7. J. Nilsen and A. Yariv, "Nearly degenerate four-wave mixing applied to optical filters," Appl. Opt. 18, 143 (1979).
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  11. A. Elci and D. Rogovin, "Phase conjugation in an inhomogeneously broadened medium," Opt. Lett.5, 255 (1980). Elci and Rogovin account for the effects of Doppler motion by starting with X(3) calculated for a stationary atom. They replace ω with a Doppler-shifted frequency, ω - kv in X(3), and integrate X(3) over the velocity profile. Their method is basically incorrect because it does not allow for the fact that the two pump waves and the signal wave are each Doppler shifted by a different amount, depending on their propagation direction relative to the velocity v of a given atom.
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