An exact analysis of the optical Kerr effect for an arbitrary field strength including nonlinear effects

An optical Kerr effect, which is the transient electric birefringence of isotropic molecular fluids when the molecules align themselves with external field, is investigated. Calculations have been carried out on the rotational diffusion of rod-like molecules in the presence of an arbitrary field strength. We will provide an exact recurrence relation with nonlinear effects and this recurrence relation is solved numerically to see how the nonlinearity affects the answer for various field strengths.