Dielectric response of spherical particles of graded materials

Abstract

We have studied the effective response of composites of spherical particles with a dielectric profile which varies along the radius of the particles. We developed a differential effective dipole theory to compute the dipole moment of individual spherical particle and hence the effective dielectric response of a dilute suspension. The theory has been applied to two model dielectric profiles. Moreover, we compare the approximate results with the exact results of the power-law profile and the agreement is excellent.

See cond-mat/0507325: The ad hoc method of the differential effective dipole approximation (DEDA) derived in the previous versions has been shown to be exact from a first-principles approach