Abstract
Recently D. Bergman introduced a method for obtaining bounds for the effective dielectric constant (or conductivity) of a two-component medium. This method does not rely on a variational principle but instead exploits the properties of the effective parameter as an analytic function of the ratio of the component parameters. We extend the method to multicomponent media using techniques of several complex variables.
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Golden, K., Papanicolaou, G. Bounds for effective parameters of multicomponent media by analytic continuation. J Stat Phys 40, 655–667 (1985). https://doi.org/10.1007/BF01009895
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DOI: https://doi.org/10.1007/BF01009895