Absorbing boundary conditions or layers are used in simulations to reduce or eliminate wave reflections from the boundary; one of the most widely used absorbing layers is Berenger's perfectly matched layer (PML). In this paper, PML is extended to a compound absorbing layer which has multiple effects of damping and deceleration, and is applied to linear and nonlinear Schrödinger equations. The deceleration extends the time to damp out the modes with higher phase velocities, leading to remarkably reduced total reflection for dispersive waves. By invoking the two effects independently, the flexibility and performance are enhanced. Since this method is based on the WKB formalism, it requires an absorbing layer of a moderate size.

中文翻译：

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一维薛定谔方程具有减速效果的虚拟吸收层的实现

在模拟中使用吸收边界条件或层来减少或消除来自边界的波反射；最广泛使用的吸收层之一是 Berenger 的完美匹配层 (PML)。本文将 PML 扩展到具有阻尼和减速多重效应的复合吸波层，并应用于线性和非线性薛定谔方程。减速延长了衰减具有较高相速度的模式的时间，从而显着减少了色散波的全反射。通过独立调用这两种效果，提高了灵活性和性能。由于该方法基于 WKB 形式，因此需要一个中等大小的吸收层。