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The long time effect of a radio frequency (rf) a.c. field superimposed on ad.c. field on the electrical susceptibility and the Kerr optical functions ofpolarisable fluids in inert solvent is analysed. The results obtained for theclassical Brownian limit, valid for dense solvent media, well reproduceclassical results published in the literature with excellent precisions ininertia, density and temperature dependences. The low density limit yieldsabsorption-dispersion lines whose widths and shifts are density, inertia andtemperature dependent. While the low density and/or large inertiasusceptibility is explicitly written out as a continued fraction got by solvingan infinite hierarchy of differential coupled equations, that of the Kerreffect is given in the form of successive convergents of the solutions of aninfinite hierarchy of differential difference triplets. The polarisation/a.c.field phase difference is analysed. The effects of the constant field strengthand the a.c. field frequency on the Kerr function are explored. In this paper,which will be named paper IV, the derivation of some quoted equations willintensionally be left out as they exist in paper III (J. Phys. A, 30:6347,1997) of which this work is its logical continuation.Comment: 30 pages, 14 figures. Submitted to J. Phys. A: Math. and Ge

journal of physics. a, mathematical and general/journal of physics. a, mathematical and general

A quantum statistical mechanics model of a three-dimensional linear rigid rotator in a bath of oscillators: IV - steady state dielectric properties induced by AC and DC field coupling