A dielectric theory of "multi-stratified shell" model with its application to a lymphoma cell

A theory of complex dielectric constant (ε ^∗) for the suspension of "multi-stratified" spherical particles is presented. Based on Maxwell's theory of interfacial polarization, we derive a general expression which correlates ε ^∗ with the electrical and geometrical parameters of each stratum. It can be shown that such a "multi-stratified" system in general should give rise to multiple dielectric dispersions, the number of which corresponds to the number of interfaces lying between the successive shell phases. The conditions for a full number of different "unit" dispersions to occur are also discussed. As an example, a special case of the "double-shell" model consisting of a spherical core and three layers of concentric phases is solved numerically by using a set of parameter values pertinent to a lymphoma cell. In light of the characteristic behavior of ε ^∗ thus revealed, we propose a scheme of procedure that applies to the determination of electrical parameters associated with the specific "double-shell" model.