Matrix method calculation of the Kerr effect transient and ac stationary responses of arbitrary shaped macromolecules

A new and simple matrix method of evaluating the Kerr effect transient and ac stationary responses of rigid polar and polarizable particles (macromolecules) of arbitrary shape undergoing the noninertial anisotropic rotational diffusion in the presence of an external electric field is presented. The matrix calculations are accomplished by solving the corresponding coupled differential-recurrence equations for the statistical moments (ensemble averages of the Wigner D functions). The results so obtained are in agreement with previously available solutions for various particular cases and are amenable to comparison with experiment.