Abstract
Abstract : An inverse scattering transform method is outlined for the resonant interaction of two plane waves (an incident wave of amplitude (A sub 1) and radian frequency (Omega sub 1) and a scattered wave of amplitude (A sub 2) and frequency (Omega sub 2) with a medium which can propagate a classical scattering waves (of amplutude Y and frequency (Omega sub 3). The inverse scattering transform method can be veiwed as a nonlinear generalization of the Fourier transform method, and, in the form presented here, it describes the dynamics of the scattering medium Y(x,t). The results can be applied to a variety of physical problems including: (1) Raman and Brillouin scattering of laser light, (2) electromagnetic wave-wave interactions in a plasma, and (3) the distributed parametric amplifier.
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