Theory of Second Harmonic Generation in Composites of Nonlinear
Dielectrics
P. M. Hui, Department of Physics, The Chinese University of Hong Kong,
Shatin, New Territories, Hong Kong,
and D. Stroud,
Department of Physics, The Ohio State University,
Columbus, Ohio 43210-1106
We consider the effective nonlinear susceptibility tensor
d(-2\omega; \omega, \omega) for second harmonic
generation in a nonlinear composite medium. We derive a simple expression
for this susceptibility in terms of the position-dependent tensor d,
and three factors which describe the local field
enhancement in a corresponding linear medium. The resulting expression
can be used to calculate the local-field enhancement of d in many
geometries. In the dilute limit, the general expression reduces
to a result previously derived.
PACS Nos. 42.70.Nq, 42.65.Pc, 78.66.Sq