PML-FDTD method for elastic waves in cylindrical and spherical coordinates
Qing Huo Lin
Abstract
Qing Huo Lin
Abstract
A perfectly matched layer (PML) is developed for elastic waves in cylindrical and spherical coordinates using the improved scheme of complex coordinates. With the introduction of the integrated complex stretching variables, the cylindrical and spherical PML schemes require no more unknown split field components than in Cartesian coordinates. The FDTD results confirm the efficacy of the PML absorbing boundary condition.
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A perfectly matched layer (PML) is developed for elastic waves in cylindrical and spherical coordinates using the improved scheme of complex coordinates. With the introduction of the integrated complex stretching variables, the cylindrical and spherical PML schemes require no more unknown split field components than in Cartesian coordinates. The FDTD results confirm the efficacy of the PML absorbing boundary condition.
Key concepts: Perfectly matched layer, Spherical coordinate system, Cartesian coordinate system, Cylindrical coordinate system, Finite-difference time-domain method, Physics, Mathematical analysis, Orthogonal coordinates