Nonlinear alternating current responses of graded materials

Details Nonlinear alternating current responses of graded materials Nonlinear alternating current responses of graded materials

2003-10-24

arxiv.org/abs/cond-mat/0310593v1

Phys. Rev. E 69, 036605 (2004)

Physics

Condensed Matter

Soft Condensed Matter

18 pages, 4 figures

Scientific paper

10.1103/PhysRevE.69.036605

When a composite of nonlinear particles suspended in a host medium is subjected to a sinusoidal electric field, the electrical response in the composite will generally consist of alternating current (AC) fields at frequencies of higher-order harmonics. The situation becomes more interesting when the suspended particles are graded, with a spatial variation in the dielectric properties. The local electric field inside the graded particles can be calculated by the differential effective dipole approximation, which agrees very well with a first-principles approach. In this work, a nonlinear differential effective dipole approximation and a perturbation expansion method have been employed to investigate the effect of gradation on the nonlinear AC responses of these composites. The results showed that the fundamental and third-harmonic AC responses are sensitive to the dielectric-constant and/or nonlinear-susceptibility gradation profiles within the particles. Thus, by measuring the AC responses of the graded composites, it is possible to perform a real-time monitoring of the fabrication process of the gradation profiles within the graded particles.

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