OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 17, Iss. 10 — Oct. 1, 2000
  • pp: 1704–1710

Resonances in the collision-induced spectrum of six-wave mixing susceptibility: generation of subharmonics

Aditi Ray and R. R. Puri  »View Author Affiliations

JOSA B, Vol. 17, Issue 10, pp. 1704-1710 (2000)

View Full Text Article

Enhanced HTML    Acrobat PDF (171 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Resonances of the six-wave mixing susceptibility χ(5)(ω1, ω1, ω1,-ω2,-ω2) at frequency 3ω1-2ω2 of a system of two-level atoms dissipating through the spontaneous emission and collisions and driven by a weak bichromatic external field of frequencies ω1 and ω2 in a finite Q cavity are analyzed. It is shown that the atomic collisions not only induce the usual Bloembergen resonances but that they also play a major role in enhancing the transitions among the higher-order dressed states, thereby bringing out some of the quantum resonances that are suppressed in the absence of collisions. The important contribution of collisions in this higher-order nonlinear process is the generation of the subharmonic resonances at ±1/2 times the hyperfine splitting of the first and the second excited manifolds.

© 2000 Optical Society of America

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics

Aditi Ray and R. R. Puri, "Resonances in the collision-induced spectrum of six-wave mixing susceptibility: generation of subharmonics," J. Opt. Soc. Am. B 17, 1704-1710 (2000)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. G. S. Agarwal, Advances in Atomic, Molecular and Optical Physics, Vol. 29, D. Bates and B. Bederson, eds. (Academic, San Diego, 1991).
  2. R. R. Puri and A. Ray, “Collision-induced quantum effects in four-wave mixing in a high-Q cavity,” J. Opt. Soc. Am. B 14, 1289–1294 (1997). [CrossRef]
  3. R. R. Puri and A. Ray, “Quantum effects in four-wave mixing in a cavity,” Phys. Rev. A 57, 4061–4064 (1998). [CrossRef]
  4. V. F. Lukinykh, S. A. Myslivets, A. Popov, and V. V. Slabko, “Nonlinear optical frequency mixing in dye vapors,” Appl. Phys. B 38, 143–146 (1985); A. V. Smith, “Four-photon resonant third-harmonic generation in Hg,” Opt. Lett. 10, 341–343 (1985). [CrossRef] [PubMed]
  5. R. Trebino and L. A. Rahn, “Subharmonic resonances in higher-order collision-enhanced wave mixing in a sodium-seeded flame,” Opt. Lett. 12, 912–914 (1987). [CrossRef] [PubMed]
  6. R. Trebino, “Alternative nonlinear-optical expansion and diagrammatic approach: Nth-order dephasing-induced effects,” Phys. Rev. A 38, 2921–2931 (1988). [CrossRef] [PubMed]
  7. G. S. Agarwal and N. Nayak, “Effect of collisions and saturation on multiphoton processes and nonlinear mixing in the field of two pumps,” Phys. Rev. A 33, 391–396 (1986). [CrossRef] [PubMed]
  8. N. Bloembergen, A. R. Bogdan, and M. W. Downer, “Collision-induced coherences in four-wave light mixing,” in Laser Spectroscopy V., A. R. W. McKeller, T. Oka, and B. P. Stoicheff, eds. (Springer-Verlag, Berlin, 1981), pp. 157–165.
  9. E. T. Jaynes and F. W. Cummings, “Comparison of quantum and semiclassical radiation theories with application to the beam maser,” Proc. IEEE 51, 89 (1963). [CrossRef]

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.


Fig. 1 Fig. 2 Fig. 3
Fig. 4

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited