Bourlier Christophe, Pinel Nicolas, Kubické Gildas
J Opt Soc Am A Opt Image Sci Vis. 2013 Sep 1;30(9):1727-37. doi: 10.1364/JOSAA.30.001727.
In this article, the fields scattered by coated cylinders, a rough layer, and an object below a rough surface are computed by the efficient propagation-inside-layer-expansion (PILE) method combined with the physical optics (PO) approximation to accelerate the calculation of the local interactions on the non-illuminated scatterer, which is assumed to be perfectly conducting. The PILE method is based on the method of moments, and the impedance matrix of the two scatterers is then inverted by blocks from a Taylor series expansion of the inverse of the Schur complement. Its main interest is that it is rigorous, with a simple formulation and a straightforward physical interpretation. In addition, one of the advantages of PILE is to be able to hybridize methods (rigorous or asymptotic) valid for a single scatterer. Then, in high frequencies, the hybridization with PO allows us to significantly reduce the complexity in comparison to a direct lower-upper inversion of the impedance matrix of the two scatterers without loss in accuracy.
在本文中，通过高效的层内传播展开（PILE）方法结合物理光学（PO）近似，计算了涂层圆柱体、粗糙层以及粗糙表面下方物体所散射的场，以加速对假定为理想导体的非照明散射体上局部相互作用的计算。PILE方法基于矩量法，然后通过对舒尔补逆的泰勒级数展开对两个散射体的阻抗矩阵进行分块求逆。其主要优点在于它是严格的，具有简单的公式和直观的物理解释。此外，PILE的优点之一是能够将适用于单个散射体的方法（严格或渐近）进行混合。然后，在高频情况下，与PO混合使我们能够在不损失精度的情况下，相比于直接对两个散射体的阻抗矩阵进行下-上求逆，显著降低复杂度。
