Generalized dispersion relations and optical bistability in squeezed vacua

R. K. Bullough; H. A. Batarfi; S. S. Hassan; M. N.R. Ibrahim; R. Saunders

doi:10.1117/12.239848

6 May 1996 Generalized dispersion relations and optical bistability in squeezed vacua

R. K. Bullough, H. A. Batarfi, S. S. Hassan, M. N.R. Ibrahim, R. Saunders

Proceedings Volume 2799, Atomic and Quantum Optics: High-Precision Measurements; (1996) https://doi.org/10.1117/12.239848
Event: International Conference on Coherent and Nonlinear Optics, 1995, St. Petersburg, Russian Federation

Abstract

We derive c-number Bloch-Maxwell (B-M) type equations from a quantum theory for 2-level atoms occupying a macroscopic slab-like region V of width L stimulated by a coherent-state electromagnetic field of radial frequency (omega) plus a broad-band correlated squeezed vacuum field with carrier frequency (omega) _p. The squeezed vacuum field is in principle of arbitrary 3-dimensional geometry including geometries created by an optical parametric oscillator. The c-number spatially dependent B-M equations are solved self-consistently and 'exactly' in terms of a nonlinear dispersive refractive index m((omega) ) while the slab V acts, also self-consistently, as a natural Fabry-Perot cavity of finite spacing L. Very preliminary results for optical bistability in the squeezed vacuum and more exact results for anomalous dispersion and absorption in the squeezed vacuum in linearized approximation are reported. Finally we compute the effect of the dielectric on the free-field modes of the squeezed vacuum.

Citation Download Citation

R. K. Bullough, H. A. Batarfi, S. S. Hassan, M. N.R. Ibrahim, and R. Saunders "Generalized dispersion relations and optical bistability in squeezed vacua", Proc. SPIE 2799, Atomic and Quantum Optics: High-Precision Measurements, (6 May 1996); https://doi.org/10.1117/12.239848

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