【摘 要】
：
从圆柱坐标系下麦克斯韦方程的时域有限差分式和特征解出发,引入了二维和三维圆柱坐标系下网格波阻抗(MWI).结合完全匹配吸收层(PML)概念,推导出了二维圆柱坐标系下的MWI-PWL
【基金项目】
：
高等学校博士学科点专项科研项目;
论文部分内容阅读
从圆柱坐标系下麦克斯韦方程的时域有限差分式和特征解出发,引入了二维和三维圆柱坐标系下网格波阻抗(MWI).结合完全匹配吸收层(PML)概念,推导出了二维圆柱坐标系下的MWI-PWL吸收边界条件算法.通过数值实验,研究了圆柱坐标系下网格波阻抗的正确性和它在圆柱坐标系下时域有限差分法(FDTD)中的应用.计算结果证明,当采用非均匀圆柱坐标系下FDTD法计算时,圆柱坐标系下网格波阻抗可以较准确地计算由于网格尺寸不同造成的数值反射误差.同时,网格波阻抗也为确定网格尺寸容许可变的范围提供了理论标准.二维圆柱坐标系下的MWI-PML是一种简单、低反射的吸收边界条件,与Teixeira的完全匹配吸收层相比,其引起的数值反射误差增加不大但更易于实现.
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