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NN4.02 - Bounds on the Volume Fraction of an Inclusion in a Body with Complex Conductivities 
December 2, 2014   9:00am - 9:15am

In this talk, we will present some recent work concerning the derivation of bounds on the volume fraction occupied by an inclusion in a body (or one of the phases in a two-phase composite). We assume that both the inclusion and the body are isotropic and homogeneous with complex-valued conductivities. The bounds we derive correlate the average electric field, average current field, and volume fractions of the phases; practically, the average electric field and average current field can be measured in terms of boundary measurements of the complex potential and electric current flux. These bounds could have potential applications in nondestructive testing and medicine, such as in the screening of organs prior to transplantation.

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