Electromagnetic source transformations using superellipse equations

TitleElectromagnetic source transformations using superellipse equations
Publication TypeJournal Article
Year of Publication2009
AuthorsJ.. Allen, N.B. Kundtz, D..A. Roberts, S..A. Cummer, D.R. Smith
JournalApplied Physics Letters
ISBN Number0003-6951
Accession NumberWOS:000266263400082

Transformation optics can be used to design media with unique properties that alter the behavior of electromagnetic waves in passive space and recently in space containing source distributions. We present source transformations where current from a linear radiator is spread over a cylindrical shell with various cross sections. The semianalytic transformations are based on superellipse equations. Finite-element full-wave simulations of transformations from a dipole to a cylinder, diamond-shaped cylinder, and flattened cylinder are presented. The radiation pattern of the dipole seen by an outside observer is replicated in all cases demonstrating the potential applicability of source transformations to conformal antenna design.