Dynamics of nonlinear electrostrictive response in nanosuspension at high intensities of radiation

The electrostrictive mechanism of optical nonlinearity in the artificial Kerr-like medium is analyzed. The recording of the dynamic hologram is significantly non-linear process at high intensities of radiation. It is shown that the nonlinear differential equation for a nanosuspension can be reduced to a Hamiltonian system of equations. The exact solution can be obtained for the nonlinear problem in disregard of the diffusion. The calculation gives expression for the space and time dependence of the concentration profile of the nanosuspension, which is valid at short times.