Abstract
The aim of this contribution is to examine the S-continued fraction method of obtaining bounds on the effective dielectric constant εe of a two-phase composite for the case where the dielectric coefficients ε1and ε2 of both components are either complex or real. The starting point for our study is a power expansion of εe (z) at(z)=0 (z)=ε2/ε1-1. The obtained S-continued fraction bounds have an interesting mathematical structure convenient for theoretical and numerical investigations of εe. They also agree with the earlier estimations reported by Bergman and Milton. Specific examples of calculation of bounds on εe by theS-continued fraction method are also provided.
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Tokarzewski, S., Telega, J.J. S-Continued Fraction Method for the Investigation of a Complex Dielectric Constant of Two-Components Composite. Acta Applicandae Mathematicae 49, 55–83 (1997). https://doi.org/10.1023/A:1005861519473
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DOI: https://doi.org/10.1023/A:1005861519473