Generalised Dispersion Relations and Optical Bistability in Squeezed Vacua
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’).
KeywordsOptical Parametric Oscillator Optical Bistability Input Intensity Radial Frequency Slab Width
- 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
- 2.13.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