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Resonant Nonlinear Interactions of Light with Matter pp 1–26Cite as

Resonant Multiphoton Interactions and the Generalized Two-Level System

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Abstract

This chapter is devoted to the theory of resonant multi-photon interactions of light with molecules of matter. It presents a classification of resonant inter-actions, as well as a heuristic approach that demonstrates a possible way of simplifying the equations that govern the variation of the density matrix. The Bogolyubov method for deriving truncated equations and evaluating the polarization of matter is treated in detail. The effective operators, namely, the averaged Hamiltonian and the generalized dipole moment determine the behavior of the density matrix and also the molecular polarization. An obvious pictorial relation between the operators is established. The theory thus constructed allows one to reduce the task of analyzing complex multi-photon interactions of fields with matter to a much simpler problem that involves single-photon resonant interactions.

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Authors and Affiliations

  1. Institute of Radioengineering and Electronics, Academy of Sciences of the USSR, Marx Prospect, 18, SU-103907, Moscow, USSR

    Professor Dr. Valerii S. Butylkin

  2. 701 Empire Blvd., Apt. 1D, 11213, Brooklyn, New York, USA

    Professor Dr. Yury G. Khronopulo

  3. Department of Electrical Engineering, John Hopkins University, Barton Hall, 21218, Baltimore, MD, USA

    Professor Dr. Alexander E. Kaplan

  4. Institute of Applied Physics, Academy of Sciences of the USSR, Ul’yanova Street, 46, SU-603600, Gorkii, USSR

    Professor Dr. Evsei I. Yakubovich

Authors
  1. Professor Dr. Valerii S. Butylkin
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  2. Professor Dr. Yury G. Khronopulo
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  3. Professor Dr. Alexander E. Kaplan
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  4. Professor Dr. Evsei I. Yakubovich
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© 1989 Springer-Verlag Berlin Heidelberg

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Butylkin, V.S., Khronopulo, Y.G., Kaplan, A.E., Yakubovich, E.I. (1989). Resonant Multiphoton Interactions and the Generalized Two-Level System. In: Resonant Nonlinear Interactions of Light with Matter. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-68891-1_1

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  • DOI: https://doi.org/10.1007/978-3-642-68891-1_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-68893-5

  • Online ISBN: 978-3-642-68891-1

  • eBook Packages: Springer Book Archive

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