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Optics Letters

Optics Letters


  • Vol. 5, Iss. 2 — Feb. 1, 1980
  • pp: 56–58

Angular dependence of line shape and strength of degenerate four-wave mixing in a Doppler-broadened system with optical pumping

L. M. Humphrey, J. P. Gordon, and P. F. Liao  »View Author Affiliations

Optics Letters, Vol. 5, Issue 2, pp. 56-58 (1980)

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Results of experiments investigating the effects of optical pumping and atomic motion on cw degenerate four-wave mixing in atomic sodium vapor are presented. The signal strength is found to decrease as (sin θ)−2, where θ is the angle between the object and pump waves; however, the linewidth for generation is Doppler free and is independent of θ. Agreement is found with a simple model of the mixing process. Distortions of the atomic velocity distribution (produced in our experiments by optical pumping) are found to be essential for efficient cw generation. A new modulation scheme for the discrimination against background is used.

© 1980 Optical Society of America

Original Manuscript: October 1, 1979
Published: February 1, 1980

L. M. Humphrey, J. P. Gordon, and P. F. Liao, "Angular dependence of line shape and strength of degenerate four-wave mixing in a Doppler-broadened system with optical pumping," Opt. Lett. 5, 56-58 (1980)

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  1. D. M. Bloom, G. C. Bjorklund, Appl. Phys. Lett. 31, 592 (1977); S. M. Jensen, R. W. Hellwarth, Appl. Phys. Lett. 32, 166 (1978); D. M. Bloom, P. F. Liao, N. P. Economou, Opt. Lett. 2, 58 (1978); D. M. Pepper, D. Fekete, A. Yariv, AppL. Phys. Lett. 33, 41 (1978); E. E. Bergmann, I. J. Bigio, B. J. Feldman, R. A. Fisher, Opt. Lett. 3, 82 (1978); D. Grischkowsky, N. S. Shiren, R. J. Bennett, Appl. Phys. Lett. 33, 805 (1978); P. F. Liao, D. M. Bloom, Opt. Lett. 3, 4 (1978); J. P. Huignard, J. P. Herriau, P. Auborg, E. Spitz, Opt. Lett. 4, 21 (1979); C. V. Heer, N. C. Griffen, Opt. Lett. 4, 239 (1979); R. A. Fisher, B. J. Feldman, Opt. Lett. 4, 140 (1979). [CrossRef] [PubMed]
  2. P. F. Liao, N. P. Economou, R. R. Freeman, Phys. Rev. Lett. 39, 1473 (1977). [CrossRef]
  3. P. F. Liao, D. M. Bloom, N. P. Economou, Appl. Phys. Lett. 32, 813 (1978). [CrossRef]
  4. A. Yariv, IEEE J. Quantum Electron. QE-14, 650 (1978). [CrossRef]
  5. S. M. Wandzura, Opt. Lett. 4, 208 (1979). [CrossRef] [PubMed]
  6. M. L. Citron, H. R. Gray, C. W. Gabel, C. R. Stroud, Phys. Rev. A 16, 1507 (1977). We found the presence of a small magnetic field (a few gauss) is necessary to obtain the correct two-level behavior. For example, in the absence of the field, the signal intensity is found to be approximately proportional to (sin θ)−4 instead of (sin θ)−2. We do not fully understand this change in behavior. [CrossRef]
  7. R. L. Abrams, R. C. Lind, Opt. Lett. 2, 94 (1978). [CrossRef] [PubMed]
  8. The apparent divergence of Eq. (4) as θ approaches zero is due to our replacement of the Doppler distribution with a constant (Doppler limit).
  9. The effective density, αN, which is determined by the strength of the optical pumping, was determined to be approximately the density of the 3S1/2(F = 2, mF = 2) state by measuring the transmission of a weak circularly polarized probe beam through the cell in the presence of the optical pumping fields.
  10. S. M. Jensen, R. W. Hellwarth, Appl. Phys. Lett. 32, 166 (1978); D. C. Haueisen, Opt. Commun. 28, 183 (1979). [CrossRef]

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