距离折射抛物方程的非定常形式及其作为波导中波动方程人工边界条件的应用
A nonstationary form of the range refraction parabolic equation and its application as an artificial boundary condition for the wave equation in a waveguide
摘要：
利用Daletskiy-Krein公式形式的非对易分析，导出了Tappert距离折射抛物方程的时间依赖形式，并将其作为波导中波动方程的人工边界条件。与Higdon吸收边界条件的数值比较表明，新的边界条件具有足够好的质量，计算成本低。
英文摘要：
The time-dependent form of Tappert's range refraction parabolic equation is derived using Daletskiy-Krein formula form noncommutative analysis and proposed as an artificial boundary condition for the wave equation in a waveguide. The numerical comparison with Higdon's absorbing boundary conditions shows sufficiently good quality of the new boundary condition at low computational cost.
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