We introduce an analog of the Dirichlet-to-Neumann map for the Maxwell equation in a bounded domain. We show that it can be approximated by a pseudodifferential operator on the boundary with a matrix-valued symbol and we compute the principal symbol. As an application, we obtain a parabolic region free of the transmission eigenvalues associated with the Maxwell equation.

中文翻译：

---

麦克斯韦方程的半经典参数及其在电磁传输特征值中的应用

我们在有界域中引入了麦克斯韦方程的狄利克雷到诺依曼映射的模拟。我们证明了它可以通过边界上的伪微分算子与矩阵值符号近似，并计算主符号。作为一个应用，我们获得了一个抛物线区域，该区域没有与麦克斯韦方程相关的传输特征值。