Comment on “self-induced transparency in the exciton system”

  • Takeshi Watanabe
  • Toshiro Wada
  • Chuji Horie
Nonlinear Optics
Part of the Lecture Notes in Physics book series (LNP, volume 57)


Starting with the Hamiltonian for periodically arranged spin operators with a spin 1/2 we derive the equations of motion of the spin components under influence of an external field. In order to find the possibility of the self-induced transparency in this system a real solution of a pulse-like propagating field is sought. Following the previous work by Haken and Schenzle we obtain a solution which contains the influence of the dispersion and polariton effects of the system. In the absence of these effects the solution corresponds to a well-known hyperbolic-secant solution derived by McCall and Hahn. Discussion is made on the condition for SIT to be present.


Light Field Spin Operator Macroscopic Polarization Exciton System Field Intensity Increase 
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  1. 1).
    S. L. McCall and E. L. Hahn: Phys. Rev. 183 (1969) 457.Google Scholar
  2. 2).
    See, e.g., A. C. Scott et al.: Proc. IEEE 61 (1973) 1443.Google Scholar
  3. 3).
    H. Haken and A. Schenzle: Z. Phys. 258 (1973) 231.Google Scholar
  4. 4).
    E. Hanamura: J. Phys. Soc. Japan 37 (1974) 1554.Google Scholar
  5. 5).
    M. Inoue: J. Phys. Soc. Japan 37 (1974) 1560.Google Scholar

Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • Takeshi Watanabe
    • 1
  • Toshiro Wada
    • 1
  • Chuji Horie
    • 1
  1. 1.Department of Applied PhysicsTohoku UniversitySendaiJapan

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