Abstract
We offer a simple route to perfect omnidirectional invisibility in a spectral band of desired width. Our approach is based on the observation that in two dimensions a complex potential is invisible for incident plane waves with a wavenumber not exceeding a pre-assigned value , provided that its Fourier transform with respect to , which we denote by , vanishes for . We can fulfill this condition for potentials modeling the permittivity profile of an optical slab. Such a slab is perfectly invisible for any transverse electric wave whose wavenumber is in the range . Our results also apply to transverse magnetic waves propagating in a medium with a relative permittivity that is a smooth bounded function with a positive real part.
© 2017 Optical Society of America
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