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Closed-form harmonic contrast control with surface impedance coatings for conductive objects

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Abstract

The problem of suppressing the scattering from conductive objects is addressed in terms of harmonic contrast reduction. A unique compact closed-form solution for a surface impedance Zs(m,kr) is found in a straightforward manner and without any approximation as a function of the harmonic index m (scattering mode to suppress) and of the frequency regime kr (product of wavenumber k and radius r of the cloaked system) at any frequency regime. In the quasi-static limit, mantle cloaking is obtained as a particular case for kr1 and m=0. In addition, beyond the quasi-static regime, impedance coatings for a selected dominant harmonic wave can be designed with proper dispersive behavior, resulting in improved reduction levels and harmonic filtering capability.

© 2017 Optical Society of America

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