On localizing and concentrating electromagnetic fields

Abstract

We consider field localizing and concentration of electromagnetic waves governed by the time-harmonic anisotropic Maxwell system in a bounded domain. It is shown that there always exist certain boundary inputs which can generate electromagnetic fields with energy localized/concentrated in a given subdomain while nearly vanishing in another given subdomain. The theoretical results may have potential applications in telecommunication, inductive charging and medical therapy. We also derive a related Runge approximation result for the time-harmonic anisotropic Maxwell system with partial boundary data.

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• Dimension bounds in monotonicity methods for the Helmholtz equation
• Uniqueness, stability and global convergence for a discrete inverse elliptic Robin transmission problem
• Lipschitz stability estimate and reconstruction of Lamé parameters in linear elasticity
• Simultaneous recovery of piecewise analytic coefficients in a semilinear elliptic equation