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Mean field theory for lossy nonlinear composites

1997/11/20 by K. W. Yu
Engineering · Materials Science · Physics and Astronomy · #Acoustic Wave Phenomena Research #Composite Material Mechanics #Ferroelectric and Piezoelectric Materials #cond-mat.dis-nn #cond-mat.mtrl-sci #cond-mat.soft

paper · pdf · doi:10.1016/s0038-1098(97)10212-5

published as Solid State Communications 105, 689 (1998) · 11 pages, LaTeX format, 2 figures, accepted for publication by Solid State Communications 18 November 1997

arxiv created 1997/11/20 · openalex publication_date 1998/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The mean-field theory for lossy nonlinear composites, described by complex and field-dependent dielectric functions, is presented. By using the spectral representation of linear composites with identical microstructure, we develop self-consistent equations for the effective response. We examine two types of microstructure, namely, the Maxwell-Garnett approximation and the effective medium approximation to illustrate the theory.

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