Further developments of the theoretical treatment of the time dependent Kerr effect following a sudden change of a homogeneous electric field

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Abstract
The theoretical treatment of the time dependent Kerr effect following a sudden change of a homogeneous electric field in the previous paper [H. Watanabe and A. Morita, J. Chem. Phys. 73, 5884 (1980)] is extended to a more general form in which the transient of the Kerr effect is expressed in the closed form of a matrix equation. Numerical aspects of the equation are discussed and the equation is used to see how the transients of the Kerr effect at fixed ratios of the contribution of the permanent dipole moment and the anisotropy of the polarizability depend on the field strength. It is shown that the theory can be easily extended to the polydisperse system. The areas bounded by the normalized transients for the stepup and the reversing fields are expressed in a closed form and dependencies of areas on the field strength are demonstrated.