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On the Numerical Stability of Finite-Difference Time-Domain for Wave Propagation in Dispersive Media Using Quadratic Complex Rational Function

机译:基于二次复有理函数的有限差分时域在分散介质中传播的数值稳定性

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摘要

Recently, based on a quadratic complex rational function, a simple and accurate finite-difference time-domain algorithm was introduced for the study of electromagnetic wave propagation in dispersive media. It is of great necessity to investigate the numerical stability of the quadratic complex rational function-finitedifference time-domain to fully utilize this finite-difference time-domain algorithm. In this work, using the von Neumann method with the Routh-Hurwitz criterion, the numerical stability conditions of the quadratic complex rational function-finitedifference time-domain are investigated. It is shown that the numerical stability conditions of the quadratic complex rational function-finite-difference time-domain are not same as those of the conventional finite-difference time-domain schemes.
机译:最近,基于二次复有理函数,提出了一种简单准确的时域有限差分算法,用于研究电磁波在分散介质中的传播。为了充分利用该有限差分时域算法,有必要研究二次复有理函数-有限差分时域的数值稳定性。在这项工作中,使用带有Routh-Hurwitz准则的von Neumann方法,研究了二次复有理函数-有限差分时域的数值稳定性条件。结果表明,二次复有理函数-有限差分时域的数值稳定性条件与常规有限差分时域方案的数值稳定性条件不同。

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