The pseudospectral time-domain (pstd) method is a powerful approach for computing the single-scattering properties of arbitrarily shaped particles with small-to-moderate-sized parameters. In the pstd method, the spati...
详细信息
The pseudospectral time-domain (pstd) method is a powerful approach for computing the single-scattering properties of arbitrarily shaped particles with small-to-moderate-sized parameters. In the pstd method, the spatial derivative approximation based on the spectral method is more accurate than its counterpart based on the finite-difference technique. Additionally, the pstd method can substantially diminish accumulated errors that increase with the spatial scale and temporal duration of simulation. We report on the application of the pstd method to the scattering of light by nonspherical ice particles. The applicability of the pstd method is validated against the Lorenz-Mie theory and the T-matrix method. The phase functions computed from the pstd method and the Lorenz-Mie theory agree well for size parameters as large as 80. Furthermore, the pstd code is also applied to the scattering of light by nonspherical ice crystals, namely, hollow hexagonal columns and aggregates, which are frequently observed in cirrus clouds. The phase functions computed from the pstd method are compared with the counterparts computed from the finite-difference time-domain (FDTD) method for a size parameter of 20 and an incident wavelength of 3.7 mu m. The comparisons show good agreement between the two methods. (C) 2008 Optical Society of America.
A simple and systematic derivation of strongly well-posed perfectly matched layer (PML) in cylindrical and spherical coordinates is presented. The unsplit-field PML formulations are expressed in terms of the complex c...
详细信息
A simple and systematic derivation of strongly well-posed perfectly matched layer (PML) in cylindrical and spherical coordinates is presented. The unsplit-field PML formulations are expressed in terms of the complex coordinate stretching approach which was originally proposed for split-field PML. The well-posed PML formulations include the symmetric hyperbolic system besides some lower order terms which do not affect the well-posedness of the system. Numerical simulations validate the accuracy and efficiency of the unsplit-field PML.
暂无评论