OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 17, Iss. 12 — Dec. 1, 2000
  • pp: 2001–2010

Resonant continuous four-wave mixing and parametric amplification

U. Hinze, B. N. Chichkov, E. Tiemann, and B. Wellegehausen  »View Author Affiliations

JOSA B, Vol. 17, Issue 12, pp. 2001-2010 (2000)

View Full Text Article

Enhanced HTML    Acrobat PDF (247 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Theoretical and experimental investigations of continuous four-wave mixing and parametric amplification in a resonantly driven double-Λ scheme of Na2 molecules are reported. Cases of copropagating and counterpropagating pump waves are analyzed. Macroscopic propagation of the generated fields and the interplay of absorption, Raman gain, four-wave mixing, and parametric amplification are studied.

© 2000 Optical Society of America

OCIS Codes
(190.4380) Nonlinear optics : Nonlinear optics, four-wave mixing
(190.4410) Nonlinear optics : Nonlinear optics, parametric processes
(190.5650) Nonlinear optics : Raman effect
(190.7220) Nonlinear optics : Upconversion

U. Hinze, B. N. Chichkov, E. Tiemann, and B. Wellegehausen, "Resonant continuous four-wave mixing and parametric amplification," J. Opt. Soc. Am. B 17, 2001-2010 (2000)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. K. S. E. Eikema, J. Walz, and T. W. Hänsch, “Continuous wave coherent Lyman-α radiation,” Phys. Rev. Lett. 83, 3828–3831 (1999). [CrossRef]
  2. S. Babin, U. Hinze, E. Tiemann, and B. Wellegehausen, “Continuous resonant four-wave mixing in double-Λ level configurations of Na2,” Opt. Lett. 21, 1186–1188 (1996); A. Apolonskii, S. Baluschev, U. Hinze, E. Tiemann, and B. Wellegehausen, “Continuous frequency up-conversion in a double-Λ scheme of Na2,” Appl. Phys. B 64, 435–442 (1997); S. Babin, E. V. Podivilov, D. A. Shapiro, U. Hinze, E. Tiemann, and B. Wellegehausen, “Effects of strong driving fields in resonant four-wave mixing schemes with down-conversion,” Phys. Rev. A PLRAAN 59, 1355–1366 (1999). [CrossRef] [PubMed]
  3. B. D. Agap’ev, M. B. Gornyi, B. G. Matisov, and Yu. V. Rozhdestvenskii, “Coherent population trapping in quantum systems,” Phys. Usp. 36, 763–793 (1993); E. Arimondo, “Coherent population trapping in laser spectroscopy,” in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1996), Vol. XXXV, pp. 257–354. [CrossRef]
  4. J. P. Marangos, “Electromagnetically induced transparency,” J. Mod. Opt. 45, 471–503 (1998); E. A. Korsunsky and D. V. Kosachiov, “Phase-dependent nonlinear optics with double-Λ atoms,” Phys. Rev. A 60, 4996–5009 (1999). [CrossRef]
  5. G. Müller, M. Müller, A. Wicht, R. H. Rinkleff, and K. Danzmann, “Optical resonantor with steep internal dispersion,” Phys. Rev. A 56, 2385–2389 (1997); M. M. Kash, V. A. Sautenkov, A. S. Zibrov, L. Hollberg, G. R. Welch, M. D. Lukin, Y. Rostovtsev, E. S. Fry, and M. O. Scully, “Ultraslow group velocity and enhanced nonlinear optical effects in a coherently driven hot atomic gas,” Phys. Rev. Lett. 82, 5229–5232 (1999). [CrossRef]
  6. A. Nagel, L. Graf, A. Naumov, E. Mariotti, V. Biancalana, D. Meschede, and R. Wynands, “Experimental realization of coherent dark-state magnetometers,” Europhys. Lett. 44, 31–36 (1998). [CrossRef]
  7. R. Wynands and A. Nagel, “Precision spectroscopy with coherent dark states,” Appl. Phys. B 68, 1–25 (1999). [CrossRef]
  8. A. N. Nesmeyanov, in Vapour Pressure of the Chemical Elements (Elsevier, Amsterdam, 1963), pp. 128–136.
  9. K. Schneider, S. Schiller, J. Mlynek, M. Bode, and I. Freitag, “1.1-W single-frequency 532-nm radiation by second-harmonic generation of a miniature Nd:YAG ring laser,” Opt. Lett. 21, 1999–2001 (1996). [CrossRef] [PubMed]
  10. B. Wellegehausen, “Optically pumped cw dimer lasers,” IEEE J. Quantum Electron. QE-15, 1108–1132 (1979). [CrossRef]
  11. D. Sarkisyan, U. Hinze, L. Meyer, and B. Wellegehausen, “Efficient cw sodium dimer Raman laser operation in a high temperature sapphire cell,” Appl. Phys. B 70, 351–354 (2000). [CrossRef]
  12. U. Hinze, L. Meyer, B. N. Chichkov, E. Tiemann, and B. Wellegehausen, “Continuous parametric amplification in a resonantly driven double-Λ system,” Opt. Commun. 166, 127–132 (1999). [CrossRef]
  13. Y. R. Shen, in The Principles of Nonlinear Optics (Wiley, New York, 1984), pp. 117–140.
  14. R. W. Boyd, in Nonlinear Optics (Academic, San Diego, Calif., 1992), pp. 380–389.
  15. S. E. Harris, “Proposed backward wave oscillation in the infrared,” Appl. Phys. Lett. 9, 114–116 (1966). [CrossRef]
  16. A. S. Zibrov, M. D. Lukin, and M. O. Scully, “Nondegenerate parametric self-oscillation via multiwave mixing in coherent atomic media,” Phys. Rev. Lett. 83, 4049–4052 (1999). [CrossRef]
  17. R. A. Fisher, ed., Optical Phase Conjugation (Academic, New York, 1983).
  18. At 720 K the densities of sodium dimers and atoms are nNa2≃5×1014 cm−3 and nNa≃1.5×1016 cm−3. Increasing the temperature to 1000 K results in nNa2≃3 × 1017 cm−3 and nNa≃1.2×1018 cm−3, which corresponds to an increase of the molecular density by a factor of 600 (see Ref. 8).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited