二维随机粗糙可穿透表面对电磁波的散射
The Scattering of Electromagnetic Waves from Two-Dimensional Randomly Rough Penetrable Surfaces
摘要：
提出了一种精确、高效的二维随机粗糙可穿透表面电磁波散射的数值模拟方法。利用Müller方程和二维粗糙表面的阻抗边界条件，得到一对耦合的二维积分方程，在该方程中，散射场用Franz公式表示。利用这种方法，我们计算了有限束$p$ -偏振光入射时散射场的全角强度分布。我们专门检查了我们模拟的能量守恒（酉性）（对于非吸收情况）。只有经过详细的数值处理{ \em都}的对角和接近对角矩阵元素是酉条件被发现是很好地满足非吸收的情况下（${\mathcal U}>0.995$），结果证明了我们的方法的准确性。
英文摘要：
An accurate and efficient numerical simulation approach to electromagnetic wave scattering from two-dimensional, randomly rough, penetrable surfaces is presented. The use of the Müller equations and an impedance boundary condition for a two-dimensional rough surface yields a pair of coupled two-dimensional integral equations for the sources on the surface in terms of which the scattered field is expressed through the Franz formulas. By this approach, we calculate the full angular intensity distribution of the scattered field that is due to a finite incident beam of $p$-polarized light. We specifically check the energy conservation (unitarity) of our simulations (for the non-absorbing case). Only after a detailed numerical treatment of {\em both} diagonal and close-to-diagonal matrix elements is the unitarity condition found to be well-satisfied for the non-absorbing case (${\mathcal U}>0.995$), a result that testifies to the accuracy of our approach.
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