Abstract
We study the effective second harmonic generation (SHG) coefficient in a random composite consisting of particles with a core-shell structure embedded in a linear dielectric host. The material making up the core of the particles is assumed to be nonconducting, but with a nonlinear susceptibility for SHG. The coating material is assumed to be linear and metallic. An expression for the effective SHG coefficient is obtained, in terms of various local field factors. The effective SHG response per unit volume of nonlinear material is found to be greatly enhanced at certain frequencies. For coated particles, the core-shell structure allows for tuning of the resonance through the choice of material parameters and∕or the ratio of the core to shell volume fraction.
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