Abstract

Furtivity and masking problems in time dependent electromagnetic obstacle scattering are formulated as control problems for the Maxwell equations. An ingenious way of using the Pontryagin maximum principle makes possible to express the corresponding first order optimality conditions as a system of partial differential equations. This fact offers relevant computational advantages, such that the use of iterative optimization methods in the solution of the optimal control problems can be avoided and highly parallelizable numerical methods can be developed to solve the control problems proposed.

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