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European Quantum Electronics Conference (EQEC)

Interplay between two kinds of hopf instabilities in thin-film systems

Pavel V. Paulau, Natalia A. Loiko

Published Jan 18, 2006• 0 citations

Abstract

This study investigates a structure including two such films irradiated from one side. Such a bilayer system can be considered as the basic element of a multilayer structure determining the main features of the all structure on the one hand and as individual element transforming the light on the other hand. Superradiation of the film both in the direction of incident beam and in the back direction provides the delay feedback between separate films. This study reveals two mechanisms of Hopf instabilities in the described thin-film system. The first mechanism is connected with the existence of multistable steady-state characteristic due to the superradiance and local field correction, while the second is relevant to the excitement of Rabi oscillations. Arising pulsations are sustained by the delay feedback existing between two films. The threshold value of the feedback delay can be minimized by the proper choice of parameters and even reduced to zero in the case of Rabi oscillations excitement.

DOI: 10.1109/eqec.2005.1567298

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Numerical and analytic investigations are made of the reflection and propagation of short optical pulses through an inverted thin film consisting of two-level atoms. An analysis is made of cases where pulses having rectangular, hyperbolic-secant, and Gaussian profiles are incident normally on a thin film. It is shown that, as a result of the initial inversion of the atoms, induced superradiance occurs. The dependences of the parameters of the reflected and transmitted pulses on the characteristics of the incident pulse are determined.

A theoretical investigation is reported of the interaction of light with a system of two films which contain two-level centres and whose thickness is less than the incident radiation wavelength. It is shown that when light of the same intensity is incident from both sides of the films, symmetry-breaking bifurcation is possible, i.e. the transmitted fields are different for the opposite directions. The relationship between symmetry-breaking bifurcation and optical bistability is determined. If the distance between the films represents an odd number of the optical half-wavelengths symmetry breaking occurs at a lower value of the parameter representing the interaction nonlinearity than that corresponding to the onset of bistability. The opposite is true when an even number of half-wavelengths can be fitted between the films. The supression of symmetry-breaking bifurcation is illustrated for various intensities of the incident optical field.

Refraction of a double-frequency optical pulse at the interface between two linear dielectrics containing a thin film of resonant atoms is considered. The dynamics of the system is treated based on the model of three-level atoms with the V -type energy diagram. Refraction of short and long (compared with the Rabi oscillation period) pulses is analyzed with allowance for local-field effects. In both cases, the shape of the pulse corresponding to one carrier wave frequency is shown to depend on the energy of the pulse with the other carrier wave frequency. In particular, both the frequency and the depth of the amplitude modulation arising in the refracted pulse are changed.