Abstract
New time-dependent integrals of motion are found for stimulated Raman scattering. An explicit formula for the photon-number probability distribution as a function of the laser-field intensity and the medium parameters is obtained in terms of Hermite polynomials of two variables.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
G. Eckhard, R. W. Hellwarth, F. J. McClung, et al.Phys. Rev. Lett. A,9, 455 (1962).
N. Bloembergen,Am. J. Phys.,35, 989 (1967).
A. Z. Grasyuk,Lasers and their Applications, Proceedings of the Lebedev Physical Institute, Nauka, Moscow (1986), Vol. 86.
C. S. Wong,Phys. Rev.,182, 482 (1969).
S. Kielich,Prog. Opt.,20, 156 (1983).
Y. R. Shen,The Principles of Nonlinear Optics, Wiley, New York (1984).
M. G. Raymer and I. A. Walmsley,Prog. Opt.,28, 182 (1990).
A. Schenzle and H. Brandt,Phys. Rev. A,20, 1928 (1979).
R. Loudon,The Quantum Theory of Light, Clarendon Press, Oxford (1983).
E. A. Mishkin and D. F. Walls,Phys. Rev.,185, 1618 (1969).
A. Miranovicz and S. Kielich,Modern Nonlinear Optics, Willey, New York (1994), Vol. LXXXXV.
J. Perina, V. Perinova, and J. Kodousek,Opt. Comm.,49, 210 (1994).
V. Perinova, M. Karska, and J. Krepelka,Acta Phys. Pol. A,79, 817 (1991).
B. K. Mohanti, N. Nayak, and P. S. Gupta,Opt. Acta,29, 1017 (1982).
P. S. Gupta and J. Dush,Czech. J. Phys.,40, 432 (1990).
H. Ritsch, M. A. M. Marte, and P. Zoller,Europhys. Lett.,19, 7 (1992).
I. A. Malkin, V. I. Man’ko, and D. A. Trifonov,J. Math. Phys.,14, 576 (1973).
I. A. Malkin and V. I. Man’ko,Dynamical Symmetries and Coherent States of Quantum Systems [in Russian], Nauka, Moscow (1979).
V. V. Dodonov and V. I. Man’ko,Invariants and Evolution of Nonstationary Quantum Systems, Proceedings of the Lebedev Physical Institute, Nova science, New York (1989), Vol. 183.
V. V. Dodonov, V. I. Man’ko, and V. V. Semjonov,Nuovo Cim. B,83, 145 (1984).
V. V. Dodonov, O. V. Man’ko, and V. I. Man’ko,Phys. Rev. A.,49, 2993 (1994).
V. V. Dodonov, O. V. Man’ko, V. I. Man’ko, and L. Rosa,Phys. Lett. A,185, 231 (1994).
V. V. Dodonov, O. V. Man’ko, and V. I. Man’ko,Phys. Rev. A,50, 813 (1994).
V. V. Dodonov, O. V. Man’ko, and V. I. Man’ko,Bulletin of the Lebedev Physical Institute (Allerton, New York), No. 4, 5 (1994).
G. Schrade, V. Akulin, V. I. Man’ko, and W. Schleich,Phys. Rev. A,48, 3854 (1991).
G. Schrade, O. V. Man’ko, V. I. Man’ko, and W. Schleich, “Photon statistics of generic two-mode squeezed coherent light” (in preparation).
O. V. Man’ko and N. V. Tcherniega, “Photon distribution function for Stokes wave for stimulated Raman scattering,” Preprint IC/97/35, ICTP, Trieste (1997).
V. V. Dodonov, O. V. Man’ko, V. I. Man’ko, and P. G. Polynkin,J. Russ. Laser Research,17, 449 (1996).
D. f. Walls,Z. Physik,237, 224 (1970).
D. F. Walls,Z. Physik,234, 331 (1970).
Author information
Authors and Affiliations
Additional information
Translated from a manuscript submitted October 1, 1996
Rights and permissions
About this article
Cite this article
Man’ko, O., Tcherniega, N.V. Photon distribution function for stokes wave for stimulated Raman scattering. J Russ Laser Res 18, 479–493 (1997). https://doi.org/10.1007/BF02559672
Issue Date:
DOI: https://doi.org/10.1007/BF02559672