Abstract
The boundary problem of nonlinear optics was investigated for a trial wave reflected (refracted) by an excited region of a nonlinear medium considered as a system of multilevel atoms in the spectrum of which there are two closely-spaced energy levels excited by a powerful quasi-resonant radiation. It is shown that under interference conditions of the atomic states in the field of the trial and resonance waves there exist three types of waves: an inverse wave and two polarization waves. By way of extension of the Ewald-Oseen procedure to this case a formula for the complex refractive index of a nonlinear medium for the three types of waves as well as a generalized extinction theorem have been obtained. It is shown that the trial wave can be amplified without inversion of the interfering atomic states and that the refractive index can be markedly changed at certain concentrations of atoms in the medium. General formulas for the amplitudes of the reflected and refracted waves have been obtained.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
P. A. Apanasevich, Principles of the Theory of Interaction of Light with Matter [in Russian], Minsk (1977).
O. N. Gadomskii, Zh. Éksp. Teor. Fiz.,79, 1192 (1980); JETF,52, 603 (1980).
I. P. Shen, Principles of Nonlinear Optics [in Russian], Moscow (1989).
B. A. Veklenko, Zh. Éksp. Teor. Fiz.,96, 457 (1989).
J. J. Maki, M. S. Malcuit, J. E. Sipe, and R. W. Boyd, Phys. Rev. Lett.,67, 972 (1991).
Kudo Hiroyuki and Saito Tsuneo, J. Opt. Soc. Am.,7, 2169 (1990).
T. Quang and H. Freedhoff, Phys. Rev. A.,48, 3216 (1993).
H. F. Arnoldus, Phys. Rev. A.,48, 3910 (1993).
F. Paroff, G. D. Allessandro, G. Oppo, and W. J. Firth, Phys. Rev. A.,48, 634 (1993).
D. G. Lappas, M. V. Fedorov, and J. H. Eberly, Phys. Rev. A.,47, 1327 (1993).
C. M. Bowden and J. P. Dowling, Phys. Rev. A.,47, 1247 (1993).
R. N. Shakhmuratov and R. A. Khasanshin, Opt. Spektrosk.,79, No. 3, 370 (1995).
M. Sargent, Phys. Rev.,43, 2255 (1978).
E. V. Baklanov and V. P. Chebotarev, Zh. Éksp. Teor. Fiz.,61, 922 (1971).
É. A. Manykin and V. V. Samartsev, Optical Echo Specroscopy [in Russian], Moscow (1984).
L. Allen and J. Eberly, Optical Resonance and Two-Level Atoms [in Russian], Moscow (1978).
R. A. Vlasov, O. N. Gadomskii, I. V. Gadomskaya, and V. V. Samartsev, Zh. Éksp. Teor. Fiz.,90, 1938 (1986); JETF,63, 1134 (1986).
O. N. Gadomskii, I. V. Gadomskaya, and S. V. Emel’yanov, Izv. RAN, Ser. Fiz.,58, No. 8, 85 (1994).
O. N. Gadomskii and R. A. Vlasov, Optical Echo Spectroscopy of Surfaces [in Russian], Minsk (1990).
M. Born and E. Wolf, Principles of Optics [Russian translation], Moscow (1973).
J. P. Dowling and C. M. Bowden, Phys. Rev. Lett.,70, 1421 (1993).
A. S. Davydov, Quantum Mechanics [in Russian], Moscow (1963).
L. Roso-Franco, Phys. Rev. Lett.,55, 2149 (1985); J. Opt. Soc. Amer. B.,4, 1878 (1987).
L. Roso-Franco and M. L. Pons, J. Mod. Opt.,37, 1645 (1990).
V. A. Malyshev and E. Conejero Jarque, J. Opt. Soc. Amer. B,12, 1868 (1995).
O. N. Gadomskii and K. V. Krutitskii, Zh. Prikl. Spektrosk.,63, 278 (1996).
Additional information
Ul’yanovsk State University, 42, Tolstoi Str., Ul’yanovsk, 432700, Russia. Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 65, No. 4, pp. 568–575, July–August, 1998.
Rights and permissions
About this article
Cite this article
Gadomskii, O.N., Moiseev, S.G. Reflection and refraction of light by a system of interfering atomic states. J Appl Spectrosc 65, 589–597 (1998). https://doi.org/10.1007/BF02675653
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02675653