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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 3, Iss. 4 — Apr. 1, 1986
  • pp: 607–613

Two-photon free-induction decay

M. F. Marshman, P. M. Farrell, W. R. MacGillivray, and M. C. Standage  »View Author Affiliations

JOSA B, Vol. 3, Issue 4, pp. 607-613 (1986)

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Density matrix formalism is used to model two-photon free-induction decay from a ladder-type, three-level scheme with a resonant intermediate state. Counterpropagating light beams are assumed. Only the upper transition is frequency shifted out of resonance with the injected field. Results indicate departure from single-photon behavior; in particular, there is a π phase shift in the oscillations when the Rabi frequencies associated with each transition are comparable in magnitude. The theory is applied to the 32S1/2 (F = 1) − 32P1/2 − 42D3/2 excitation scheme of sodium.

© 1986 Optical Society of America

Original Manuscript: September 4, 1985
Manuscript Accepted: November 25, 1985
Published: April 1, 1986

M. F. Marshman, P. M. Farrell, W. R. MacGillivray, and M. C. Standage, "Two-photon free-induction decay," J. Opt. Soc. Am. B 3, 607-613 (1986)

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  1. M. S. Feld, A. Javan, “Laser-induced line-narrowing effects in coupled Doppler-broadened transitions,” Phys. Rev. 177, 540–562 (1969). [CrossRef]
  2. Th. Hänsch, P. Toschek, “Theory of a three-level gas laser amplifier,” Z. Phys. 236, 213–244 (1970). [CrossRef]
  3. B. J. Feldman, M. S. Feld, “Laser-induced line-narrowing effects in coupled Doppler-broadened transitions. II. Standing-wave features,” Phys. Rev. A 5, 899–918 (1972). [CrossRef]
  4. F. Biraben, B. Cagnac, G. Grynberg, “Experimental evidence of two-photon transition without Doppler broadening,” Phys. Rev. Lett. 32, 643–645 (1974). [CrossRef]
  5. M. D. Levenson, N. Bloembergen, “Observation of two-photon absorption without Doppler broadening on the 3S–5S transition in sodium vapor,” Phys. Rev. Lett. 32, 645–648 (1974). [CrossRef]
  6. T. W. Hänsch, K. C. Harvey, G. Meisel, A. L. Schawlow, “Two-photon spectroscopy of Na 3S–4D without Doppler broadening using a cw dye laser,” Opt. Commun. 11, 50–53 (1974). [CrossRef]
  7. J. E. Bjorkholm, P. F. Liao, “Resonant enhancement of two-photon absorption in sodium vapor,” Phys. Rev. Lett. 33, 128–131 (1974). [CrossRef]
  8. R. L. Shoemaker, R. G. Brewer, “Two-photon superradiance,” Phys. Rev. Lett. 28, 1430–1433 (1972). [CrossRef]
  9. M. M. T. Loy, “Observation of two-photon optical nutation and free-induction decay,” Phys. Rev. Lett. 36, 1454–1457 (1976). [CrossRef]
  10. D. Grischkowsky, M. M. T. Loy, P. F. Liao, “Adiabatic following model for two-photon transitions: nonlinear mixing and pulse propagation,” Phys. Rev. A 12, 2514–2533 (1975). [CrossRef]
  11. R. G. Brewer, E. L. Hahn, “Coherent two-photon processes: transient and steady-state cases,” Phys. Rev. A 11, 1641–1649 (1975). [CrossRef]
  12. M. Bassini, F. Biraben, B. Cagnac, G. Grynberg, “Raman transients observed in Doppler free two-photon excitation,” Opt. Commun. 21, 263–266 (1977). [CrossRef]
  13. P. L. Liao, J. E. Bjorkholm, J. P. Gordon, “Observation of two-photon optical free-induction decay in atomic sodium vapor,” Phys. Rev. Lett. 39, 15–18 (1977). [CrossRef]
  14. R. G. Brewer, R. L. Shoemaker, “Photon echo and optical nutation in molecules,” Phys. Rev. Lett. 27, 631–634 (1971). [CrossRef]
  15. R. M. Whitley, C. R. Stroud, “Double optical resonance,” Phys. Rev. A 14, 1498–1513 (1976). [CrossRef]
  16. P. L. Knight, P. W. Milonni, “The Rabi frequency in optical spectra,” Phys. Rep. 66, 21–107 (1980). [CrossRef]
  17. P. Hannaford, W. R. MacGillivray, M. C. Standage, “Coherent optical transient measurements of absolute and differential Stark shifts in atomic sodium,” J. Phys. B. 12, 4033–4044 (1979). [CrossRef]
  18. C. J. Webb, W. R. MacGillivray, M. C. Standage, “The theory of stepwise electron and laser excitation of atoms: II. Strong optical excitation case,” J. Phys. B 17, 2577–2589 (1984). [CrossRef]
  19. R. G. Brewer, R. L. Shoemaker, “Optical free induction decay,” Phys. Rev. A 6, 2001–2007 (1972). [CrossRef]
  20. I. V. Hertel, W. Stoll, “Collision experiments with laser excited atoms in crossed beams,” in Advances in Atomic and Molecular Physics, D. R. Bates, B. Bederson, eds. (Academic, New York, 1977), pp. 113–228.
  21. W. L. Wiese, M. W. Smith, B. M. Miles, Atomic Transition Probabilities, Vol. II (National Bureau of Standards, Washington, D.C., 1969).

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