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Updated: Jul 21, 2026

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials
Published on: September 26, 2014
Polarizability fluctuations in dielectric materials with quenched disorder
Abstract:
We study a model of dielectric response for spatially disordered materials. In this model the local polarizability alpha(r) is a quenched random variable. From a one-loop level renormalization-group analysis, we predict that with increasing length scale L, the dimensionless fluctuation strength alpha;sigma, where 1/alpha; and sigma(2) are the average and the variance of the distribution for 1/alpha(r), decays as 1/L(2) universally at large length scales. The interplay of the random polarizability and the long-range dipole-dipole interaction is discussed.
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