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Adaptive boundaryless finite-difference method

机译:自适应无边界有限差分法

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摘要

The boundaryless beam propagation method uses a mapping function to transform the infinite real space into a finite-size computational domain [Opt. Lett. 21, 4 (1996)]. This leads to a bounded field that avoids the artificial reflections produced by the computational window. However, the method suffers from frequency aliasing problems, limiting the physical region to be sampled. We propose an adaptive boundaryless method that concentrates the higher density of sampling points in the region of interest. The method is implemented in Cartesian and cylindrical coordinate systems. It keeps the same advantages of the original method but increases accuracy and is not affected by frequency aliasing.
机译:无边界光束传播方法使用映射函数将无限的实际空间转换为有限大小的计算域。来吧21,4(1996)]。这导致有界场,避免了计算窗口产生的人工反射。但是,该方法存在频率混叠问题,从而限制了要采样的物理区域。我们提出了一种自适应无边界方法,该方法将较高密度的采样点集中在目标区域中。该方法在笛卡尔坐标系和圆柱坐标系中实现。它保留了原始方法的相同优点,但提高了精度,并且不受频率混叠的影响。

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