On numerical aspects of FDTD dispersive modeling using a quartic complex rational function

Sang-Gyu Ha, Jeahoon Cho, Eun-Ki Kim, Kyung‐Young Jung
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Abstract

Recently, based on a 2-pole complex rational function, an accurate and efficient finite-difference time domain (FDTD) algorithm was introduced for many types of dispersive media. In this work, we consider a dispersive FDTD method using a quartic complex rational function (QCRF). It is of great importance to investigate two numerical aspects: the numerical accuracy and the numerical stability. Numerical examples are used to illustrate these numerical aspects of QCRF-FDTD.
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用四次复有理函数进行时域有限差分色散建模的数值研究
近年来,基于两极复有理函数,提出了一种适用于多种色散介质的精确、高效的时域有限差分算法。在这项工作中,我们考虑了一种使用四次复有理函数(QCRF)的色散FDTD方法。对数值精度和数值稳定性这两个方面的研究具有重要的意义。数值例子用于说明QCRF-FDTD的这些数值方面。
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