部分涂层双周期结构逆电磁散射的线性采样方法
The linear sampling method for the inverse electromagnetic scattering by a partially coated bi-periodic structure
AI总结：
针对部分涂层双周期结构，利用点源产生的散射场测量数据，提出一种周期性线性采样方法以重建双周期Lipschitz结构。
摘要：
本文考虑通过测量位于结构上方的点源产生的散射场来恢复双周期Lipschitz结构的逆问题。假设结构上方的介质是均匀且无损耗的，具有正介电常数。结构下方是部分涂覆有电介质的完美导体。开发了一种周期性的线性采样方法，利用近场数据重建双周期结构。在这种情况下，定义在R^3单位球上的远场方程被替换为近场方程，该方程是定义在周期结构上方平面上的第一类线性积分方程。
英文摘要：
In this paper, we consider the inverse problem of recovering a doubly periodic Lipschitz structure through the measurement of the scattered field above the structure produced by point sources lying above the structure. The medium above the structure is assumed to be homogenous and lossless with a positive dielectric coefficient. Below the structure is a perfect conductor partially coated with a dielectric. A periodic version of the linear sampling method is developed to reconstruct the doubly periodic structure using the near field data. In this case, the far field equation defined on the unit ball of R^3 is replaced by the near field equation which is a linear integral equation of the first kind defined on a plane above the periodic surface.
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