Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/13836
Title: Effective ac dielectric response of graded cylindrical composites
Authors: Wei, EB
Poon, YM
Yu, KW
Keywords: Effective ac response
Graded composites
Hyper-geometric function
Issue Date: 2006
Publisher: Elsevier Science Bv
Source: Physics letters, section a : general, atomic and solid state physics, 2006, v. 350, no. 1-2, p. 159-166 How to cite?
Journal: Physics Letters, Section A: General, Atomic and Solid State Physics 
Abstract: Under an external alternating current (ac) field, the effective ac dielectric response of graded composites consisting of the graded cylindrical inclusion having complex permittivity profiles has been investigated theoretically. A model that the dielectric function is assumed to be a constant while the conductivity has a power-law dependence on the radial variable r, namely εi(r)=A+crk/iω, is studied and the local analytical potentials of the inclusion and the host regions are derived in terms of hyper-geometric function. In the dilute limit, the effective ac dielectric response is predicted. Meanwhile, we have given the exact proof of the differential effective dipole approximation (DEDA) method, which is suitable to arbitrary graded profiles. Furthermore, we have given the analytical potentials and the effective ac dielectric responses of coated graded cylindrical composites for two cases, case (a) graded core and case (b) graded coated layer, having the graded dielectric profiles, respectively.
URI: http://hdl.handle.net/10397/13836
ISSN: 0375-9601
DOI: 10.1016/j.physleta.2005.11.016
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