Nonlinear effects in transformation optics-based metamate-rial shields for counter directed energy weapon defense

Abstract

Transformation optics is the current method used to design metamaterial structures that manipulate the path of electromagnetic radiation. This approach, however, relies upon a completely linear response of the polarization and magnetization fields with respect to incident electromagnetic field intensities. As those field intensities rise, such as from a hypothetical directed energy weapon, nonlinear effects, which are unaccounted for in a completely linear theory, are observed. In order to investigate the behavior of a transformation opticsÐderived structure in such a high-field intensity regime, we propose to employ an iterative solution to the Maxwell equations for such a structure, and compare these results to those of the purely linear transformation optics model. Examining the first-order results of this approach, we observe a strong dependence of response field amplitude upon the wavelength of incident radiation.