Effective Response of Nonlinear Composite under External AC and DC Electric Field

A perturbation method is used to study effective response of nonlinear Kerr composites, which are subjectto the constitutive relation of electric displacement and electric field, D;=ε;E + X;|E|;E. Under the external ACand DC electric field E;= E;（1+sinωt）, the effective nonlinear responses and local potentials are induced by thecubic nonlinearity of Kerr materials at all harmonics. As an example in three dimensions, we have investigated thiskind of nonlinear composites with spherical inclusions embedded in a host. At all harmonic frequencies, the potentialsin inclusion and host regions are derived. Furthermore, the formulae of the effective linear and nonlinear responses aregiven in the dilute limit.