论文标题
精确和近似标量电磁波散射的统一处理
Unified treatment of exact and approximate scalar electromagnetic wave scattering
论文作者
论文摘要
在强烈散射的条件下，对于最佳使用数值方法，经常会出现困境。主要竞争者是Born系列，梁传播方法和Lippmann-Schwinger方程的直接解决方案。但是，据我们所知，这三种方法之间的分析关系尚未明确说明。在这里，我们弥合了文献中的这一差距。除了对每种方法最佳捕获的光散射方面的总体见解外，我们的方法还使我们能够在各种散射条件下得出预期的近似误差范围。
Under conditions of strong scattering, a dilemma often arises regarding the best numerical method to use. Main competitors are the Born series, the Beam Propagation Method, and direct solution of the Lippmann-Schwinger equation. However, analytical relationships between the three methods have not yet, to our knowledge, been explicitly stated. Here, we bridge this gap in the literature. In addition to overall insight about aspects of optical scattering that are best numerically captured by each method, our approach allows us to derive approximate error bounds to be expected under various scattering conditions.
