A theoretical study of the polarization dependence of stimulated Rayleigh-wing scattering and the optical-frequency Kerr effect has been undertaken. When the incident light is circularly polarized, a striking difference in gain is found for the co- and counter-rotating senses of polarization of the scattered light---the former being suppressed and the latter being exceptionally favored. The analysis begins with a model for the Kerr effect, which involves the alignment of anisotropic molecules in an electric field, but the results can be immediately generalized to any light scattering process of tensor symmetry. The nonlinear problem of the propagation of an intense elliptically polarized light wave in a Kerr-active medium is shown to have a solution in which the vibrational ellipse undergoes self-precession and self-retardation. The stimulated scatterings or instabilities of such a self-precessing and self-retarding light wave are obtained for the backward and forward directions. Birefringence, optical activity, and linear and circular dichroisms are some of the phenomena which result, but the forward direction yields substantially different results from the backward direction because of Stokes-anti-Stokes coupling.
Four-wave parametric amplification can be extended to the TW/cm
2 regime using femtosecond pump pulses to amplify nearly octave spanning pulses with gain
>20~mm
−1, which we call Kerr instability amplification. Cross-polarized wave generation exploits Kerr anisotropy to induce a transient intensity-dependent polarization evolution. In this work, we combine Kerr instability amplification with cross-polarized wave generation to simultaneously amplify and rotate the output polarization of a signal beam, and we explore laser and crystal parameters to control the resulting polarization. In 1~mm MgO(100), we amplify linearly polarized light by
2000× orthogonal to the pump and seed polarization. The parametric amplification and polarization rotation offers excellent pulse contrast enhancement for future high-power laser systems. Furthermore, the polarization provides an additional observable to study the nonlinear dynamics occuring in this extreme ultrafast light-matter interaction.