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时域有限差分(FDTD)方法是计算时域电磁散射和辐射的一种简单有效的方法,被广泛应用于求解电磁场问题中,但由于计算机容量的限制,FDTD计算只能在有限区域进行,为了能模拟开域电磁过程,在计算区域的截断边界处必须给出吸收边界条件,完全匹配层(PML)是一种行之有效的吸收边界条件。在PML中应用Z变换,和传统的引入PML的方法相比,得到的迭代公式的程序更方便、更简单;考虑到要模拟的FDTD计算区域的虚拟物质属性,采用了特殊的处理方法;数值实验验证了这种方法的有效性和吸收边界的吸收效果。
The FDTD method is a simple and effective method to calculate the electromagnetic scattering and radiation in the time domain. It is widely used to solve the electromagnetic field problem. However, FDTD calculation can only be performed in a limited area because of the limited capacity of the computer. To simulate the open-field electromagnetic process, the absorption boundary conditions must be given at the truncation boundary of the calculation area. Perfect matching layer (PML) is an effective absorption boundary condition. The application of Z transform in PML is more convenient and simpler than the traditional method of introducing PML. The special treatment method is adopted in consideration of the virtual material properties of the FDTD calculation area to be simulated. The numerical value Experiments show the effectiveness of this method and the absorption effect of absorbing boundary.