Abstract Submitted for the MAR08 Meeting of The American Physical Society Spectral representation theory of graded composite materials

Submitted for the MAR08 Meeting of The American Physical Society Spectral representation theory of graded composite materials K.L. CHAN, C.M. KWOK, K.W. YU, The Chinese University of Hong Kong — In graded composite materials, the physical properties can vary continuously in space and it may give different physical phenomena when compared with homogeneous materials. The Bergman-Milton spectral representation is a rigorous mathematical formalism to express the effective dielectric constant of nongraded composite materials [1]. In this study, we consider a material (rather than microsture [2]) graded composites, and generalize the Bergman-Milton spectral representation to extract the spectral density function for the effective dielectric constant of this graded composite material in the frequency domain [3]. Analytic and numerical solution will be presented for graded films and graded spheres. [1] D. J. Bergman, Phys. Rev. B 14 , 4304 (1976). [2] J. P. Huang, K. W. Yu, G. Q. Gu, M. Karttunen, Phys. Rev. E 67 , 051405 (2003). [3] L. Gao, J. P. Huang, K.W. Yu, Eur. Phys. J. B 36 , 475 (2003). K.L. Chan The Chinese University of Hong Kong Date submitted: 01 Dec 2007 Electronic form version 1.4