Transverse Field and Inhomogeneous Broadening Effects on Optical Bistability in Mixed Species

Abstract

The steady state behavior of a bistable system of a homogeneously or inhomogeneously broadened two sorts of two-level atoms placed in a ring cavity and driven by a coherent field is analyzed within the mean field limit where the transverse effect of the radiation field is taken into account within the single-transverse-mode model. Effects on the input–output relation, due to the transverse parameter and the Lorentzian and the Gaussian line widths which measure the inhomogeneous broadening of the atoms, are examined. The enlargement of the optical bistable (tristable) region according to the previously mentioned parameters is explained.

Optical bistability outside the rotating wave approximation in mixed species

“…1). The reduced Maxwell-Bloch equations with the one-transverse mode and mean field approximations [8,9] within the RWA [37] now takes the following form outside RWA,…”

“…(1b)-(1e) represent the effect of interaction of the cavity field with the atoms outside the RWA.Within the RWA these terms are discarded and Eq. (1) give the input-output field steady state equation [37],…”

“…(4,5,6) up to O(k i ) ; i = 1, 2 are actually the quadrature polarization components within the RWA [37], i.e.,…”

“…Also, the steady state behavior of a bistable system of a homogeneously or inhomogeneously broadened mixed atomic species has been analyzed, where the transverse effect of radiation field is taken into account [37].…”