Effective ac response in weakly nonlinear composites

• Published in: Journal of physics. D, Applied physics Vol. 37; no. 1; pp. 107 - 111
• Main Authors: Wei, En-Bo, Yang, Zi-Dong, Gu, Guo-Qing
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 07.01.2004; Institute of Physics
• Subjects: Composite materials; Condensed matter: electronic structure, electrical, magnetic, and optical properties; Conductivity of specific materials; Electronic transport in condensed matter; Exact sciences and technology; General formulation of transport theory; Physics; Theory of electronic transport; scattering mechanisms; Perturbation theory; External fields; Harmonics; Electrical conductivity; Composite materials; Solid inclusion; Potential distribution; Electric field effects; Theoretical study; Boundary conditions; Non linear effect; Cylindrical shape
• ISSN: 0022-3727; 1361-6463
• DOI: 10.1088/0022-3727/37/1/018

The perturbation method is developed to deal with the problem of determining the effective nonlinear conductivity of Kerr-like nonlinear media under an external ac electric field. As an example, we have considered the cylindrical inclusion embedded in a host under the sinusoidal external field E1 sin(omegat) + E3 sin(3omegat) with frequencies omega and 3omega. The potentials of composites at higher harmonics are derived in both local inclusion particle and host regions. The effective responses of bulk nonlinear composites at basic frequency and harmonics are given for cylindrical composites in the dilute limit. Moreover, the relationships between the nonlinear effective responses at the basic frequency and the third harmonics are derived.