In the current paper we consider an inverse boundary value problem of electromagnetism in a nonlinear Kerr medium. We show the unique determination of the electromagnetic material parameters and the nonlinear susceptibility parameters of the medium by making electromagnetic measurements on the boundary. We are interested in the case of the time-harmonic Maxwell equations.

中文翻译：

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Kerr型介质中非线性时谐Maxwell方程的正反问题

在本文中，我们考虑了非线性Kerr介质中电磁的逆边值问题。通过在边界上进行电磁测量，我们展示了介质的电磁材料参数和非线性磁化率参数的唯一确定。我们对时谐麦克斯韦方程组的情况感兴趣。