Depolarization dyadics for truncated spheres, spheroids, and ellipsoids

Abstract

Depolarization dyadics play a central role in theoretical studies involving scattering from small particles and homogenization of particulate composite materials. Closed-form expressions for depolarization dyadics have been developed for truncated spheres and truncated spheroids, and the formalism has been extended to truncated ellipsoids; the evaluation of depolarization dyadics for this latter case requires numerical integration. The H\"{o}lder continuity condition has been exploited to fix the origin of the coordinate system for the evaluation of depolarization dyadics.These results will enable theoretical studies involving scattering from small particles and homogenization of particulate composite materials to accommodate particles with a much wider range of shapes than was the case hitherto.