Target scattering calculations with the parabolic equation method
Target scattering calculations with the parabolic equation method
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DOI：
10.1121/1.421198
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发表时间：
1998-08
影响因子：
2.4
通讯作者：
M. Levy;A. A. Zaporozhets-A.
中科院分区：
文献类型：
--
作者：
M. Levy;A. A. Zaporozhets-A.
抛物方程技术是用来解决亥姆霍兹方程中存在的散射体的任意形状，在二维和三维。散射场直接计算，使用非均匀的边界条件的散射对象来表示入射场。这有效地将PE近轴方向与入射方向重叠。对于凸形物体，整个散射角范围可以用少量的窄角计算来覆盖。差分实现涉及二维的三对角矩阵和更一般的三维稀疏矩阵。由此产生的代码可以用来解决散射问题的对象的大小范围从几个波长到数百个波长。该方法已被测试对软和刚性圆柱体在2D和软和刚性球在3D的解析解，在所有的散射角表现出良好的协议。
The parabolic equation technique is used to solve the Helmholtz equation in the presence of scatterers of arbitrary shape, in two and three dimensions. The scattered field is computed directly, using non-homogeneous boundary conditions on the scattering object to represent the incident field. Effectively this decouples the PE paraxial direction from the direction of incidence. For convex objects the whole range of scattering angles can be covered with a small number of narrow-angle calculations. Finite-difference implementations involve tridiagonal matrices in two dimensions and more general sparse matrices in three dimensions. The resulting codes can be used to solve scattering problems for objects ranging in size from a few wavelengths to hundreds of wavelengths. The method has been tested against analytical solutions for soft and rigid circular cylinders in 2D and soft and rigid spheres in 3D, showing good agreement at all scattering angles.