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Journal of Luminescence

Instabilities of nonlinear resonant reflection from a dense two-level medium

Victor A Malyshev, Enrique Conejero Jarque

Published Jun 1, 1997• 4 citations
Publisher
DOI
10.1016/s0022-2313(96)00309-2

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We consider a boundary value problem of reflection of a powerful light wave from a dense resonant medium that exhibits intrinsic optical bistability because of the dipole–dipole interaction of two-level atoms. On the basis of analytical solutions and numerical simulations we establish that intrinsic optical bistability results in the dependence of the reflection coefficient on the adiabatically varying intensity of an external field. The reflection coefficient is an oscillating function of the intensity because of the additional reflectivity that is due to a light-induced sharp discontinuity in the nonlinear permittivity of a dense resonant medium.
We study the nonlinear resonant reflection of an intense linearly polarized plane wave from a vacuum-dense two-level-medium interface under normal-incidence conditions. A domain of parameters is specially selected for which one needs to take into account strong atom–field coupling, which results in the appearance of a gap in the spectrum of mixed states (polaritons). For the linear problem, the presence of the gap causes a strong reflection of an incident signal with a frequency within the gap. The near-zone dipole–dipole interaction is also included within the framework of the local-field approach. By performing the time-domain analysis of the reflectivity at different spectral points, we observe certain peculiarities, such as the possibility of a steady-state high-contrast optical switching with low-level operation, stable and unstable hysteresis loops, and an auto-oscillation regime of reflectivity for a certain range of the parameters driving the evolution of the system.