Special Session 52: Harmonic Analysis and Partial Differential Equations

Far field broadband approximate cloaking for the Helmholtz equation with a Drude-Lorentz refractive index

Narek Hovsepyan
Rutgers University
USA
Co-Author(s):    F. Cakoni, M. Vogelius
Abstract:
We consider an approximate, transformation optics-based cloaking scheme for the Helhmoltz equation, that incorporates a Drude-Lorentz model to account for the dispersive properties of the cloak. We show that on one hand, perfect (far field) cloaking is impossible at any frequency for any incident field, but on the other hand, one can achieve approximate cloaking for any finite band of frequencies, as the resonant frequency of the Drude-Lorentz term approaches infinity.