CW Field Interactions

  • Pierre Meystre
  • Murray SargentIII


This chapter uses the density matrix methods of Chap. 4 to find the polarization induced by one or two cw plane waves in two-level media. The density matrix is extended in a form known as the population matrix, which treats collections of atomic responses simply. Section 5-1 deals with homogeneously-broadened media, while Sec. 5-2 includes inhomogeneous broadening. The induced polarization is used as a source in the slowly-varying Maxwell equations to yield a nonlinear Beer’s law for propagation. The population matrix equations of motion are solved in the important rate equation approximation, which assumes that the dipole lifetime T 2 is short compared to times for which the field envelope or population difference vary appreciably. The concepts of power-broadening and spectral hole burning are developed.


Density Matrix Population Difference Optical Bistability Dimensionless Intensity Spectral Hole Burning 
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  1. Bennett, W. R., Jr. (1962), Appl. Opt. Suppl. 1, 24.Google Scholar
  2. Bloembergen, N,E. M. Purcell, and R. V. Pound (1948), Phys. Rev. 73, 679.Google Scholar
  3. Fano, U. (1961), Phys. Rev. 124, 1866.ADSMATHCrossRefGoogle Scholar
  4. Gardiner, C. W. (1986), Phys. Rev. Lett. 56 (1917). This paper discusses the squeezed vacuum leading to Eqs. (129).Google Scholar
  5. Levenson, Marc D., Introduction to Nonlinear Laser Spectroscopy (1982), Academic Press, New York.Google Scholar
  6. Stenholm, S. (1984), Foundations of Laser Spectroscopy, John-Wiley & Sons, New York. This is an excellent textbook on nonlinear laser spectroscopy.Google Scholar
  7. The two-photon two-level model (Sec. 5–4) has been discussed in many papers starting with: M. Takatsuji (1971), Phys. Rev. A4, 808; B. R. Mollow (1971), Phys. Rev. A4, 1666.Google Scholar
  8. Discussions of semiconductor media and lasers are given inGoogle Scholar
  9. Agrawal, G. P., and N. K. Dutta (1986), Long-Wavelength Semiconductor Lasers Van Nostrand Reinhold Co., New York.Google Scholar
  10. Chow, W. W., G. C. Dente, and D. Depatie (1987), IEEE J. Quant. Electron. E-23 1314.Google Scholar
  11. A derivation of “generalized Bloch equations” for semiconductor media is given by Lindberg, M. and S. W. Koch (1988), Phys. Rev. B38,3342.Google Scholar
  12. The specialization of these generalized Bloch equations to the simple model of Sec. 5–5 is given by Sargent, M. III, F. Zhou, S. W. Koch (1988), Phys. Rev. A38, 4673.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • Pierre Meystre
    • 1
  • Murray SargentIII
    • 1
  1. 1.Optical Sciences CenterUniversity of ArizonaTucsonUSA

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