In this paper we study an inverse boundary value problem for Maxwell's equations. The goal is to reconstruct perturbations in the refractive index of the medium inside an object from the knowledge of the tangential trace of an electric field on a part of the boundary of the domain. We first provide a uniqueness result for this inverse problem. Then, we propose a complete procedure to reconstruct numerically the perturbations, based on the minimization of a cost functional involving an iterated sensitivity equation.

翻译：本文研究了麦克斯韦方程组的一个逆边界值问题。其目标是从介质内物体部分边界上电场切向迹的信息，重构折射率中的扰动。我们首先给出了该反问题的一个唯一性结论。接着，基于一个涉及迭代灵敏度方程的成本泛函的最小化，提出了一套完整的数值重构扰动的流程。