Generalised Dispersion Relations and Optical Bistability in Squeezed Vacua

  • R. K. Bullought
  • H. A. Batarfi
  • S. S. Hassan
  • M. N. R. Ibrahim
  • R. Saunders
Conference paper

Abstract

We have derived1 c-number Bloch-Maxwell type equations from a quantum theory for 2-level atoms occupying a macroscopic region of space stimulated by a coherent-state e.m. field of radial frequency  ω plus a broad-band correlated squeezed vacuum field of arbitrary 3-dimensional geometry with a carrier frequency ω p , including geometries which could be created by an optical parametric oscillator. Expectation values of Heisenberg’s equations with a matter-field decorrelation followed by an ensemble average over atom sites x i yield, in a frame rotating at the eqns. (1), (2). The sites x i occupy a slab-like region V which ultimately forms a Fabry-Perot Cavity: there is no intermolecular correlation (the dielectric in V is ‘smooth’).

Keywords

Optical Parametric Oscillator Optical Bistability Input Intensity Radial Frequency Slab Width 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    S.S. Hassan, R.K. Bullough and H.A. Batarfi, Generalised dispersion relations for dielectrics in squeezed vacua, in: “Studies in Classical and Quantum Nonlinear Optics”, Ole Keller, ed., Nova Science Publ. Inc., Commack, New York pp. 609 - 623, 1995.Google Scholar
  2. 2.
    13.K. Bullough, ILA. Batarfi, S.S. Ilassan, M.N.R. Ibrahim and R. Saunders, Generalised dispersion relations and optical bistability in squeezed vacua, in: “Proc. Intl. Conference on Coherent and Nonlinear Optics”, N.I. Koroteev and A. Chirkin eds., SPIE, P.O. Box 10, Bellingham, WA 98227-0010, USA, 1996.Google Scholar

Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • R. K. Bullought
    • 1
  • H. A. Batarfi
    • 1
  • S. S. Hassan
    • 2
  • M. N. R. Ibrahim
    • 1
  • R. Saunders
    • 3
  1. 1.Department of MathsUMISTManchesterUK
  2. 2.Department of MathsAin Shams UniversityCairoEgypt
  3. 3.Department of Maths and PhysicsMetropolitan UniversityManchesterUK

Personalised recommendations