Bistable energy transmission through the interface with Fermi resonance interaction

4 Bistable energy transmission through the interface with Fermi resonance interaction 

Interesting phenomena can take place in systems with Fermi resonance under the influence of an external electromagnetic field. Here we consider one example of such behavior - bistable energy transmission through the interface with the Fermi resonance interaction (14). To make the calculations easier, we shall consider the following simplified model. Let a monomolecular layer of a molecules be deposited on the plane surface of a crystal made of b molecules. For the ID case such a system is shown in Fig. 9.7. 

The molecules b do not interact with the electromagnetic field and their equations of motion have the usual form 

Now we have a driving force E(t) = Eq exp(—iu t) so that the molecule a oscillates with this laser field frequency u l and due to the Fermi resonance interaction across the interface this leads to oscillations of molecules b with frequency 2ujl. As a result, we obtain an algebraic system of equations for the amplitudes A, B, Bu...  

Dependence of the intensity I of a vibrations on the pumping intensity (a) without damping (b) with damping. Reprinted with permission from Agranovich et al. (6). Copyright Elsevier (2003). 

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