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Simulating 3D waveguide discontinuities using a combination of Prony's method and FDTD with improved absorbing boundary conditions

机译:使用Prony方法和FDTD结合改进吸收边界条件来模拟3D波导不连续性

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摘要

Two major problems usually arise when the finite-difference time-domain (FDTD) method is used for wideband characterisation of dielectric discontinuities with high permittivity in waveguides. First, reflections are provoked by imperfections in the absorbing boundary conditions. Secondly, many time steps are necessary to overcome the problems associated with the truncation error inherent in the discrete Fourier transform (DFT). The authors present wideband absorbing boundary conditions (ABC) that have been designed to provide optimal behaviour for the analysis of waveguide devices. As an alternative to the classical fast Fourier transform (FFT), Prony's method is used to process the data provided by FDTD in order to obtain the frequency parameters. It was found that this alternative method significantly reduces the CPU time needed to characterise the different devices. The improvements obtained are clearly shown by analysing different dielectric discontinuities in waveguides. The results are compared both with those given by the classical FDTD-FFT method and with those provided by the finite elements method in the frequency domain.
机译:当将有限差分时域(FDTD)方法用于波导中具有高介电常数的介电不连续性的宽带表征时,通常会出现两个主要问题。首先,反射是由吸收边界条件中的缺陷引起的。其次,需要许多时间步骤来克服与离散傅里叶变换(DFT)固有的截断误差相关的问题。作者介绍了宽带吸收边界条件(ABC),该条件旨在为波导器件的分析提供最佳性能。作为经典快速傅里叶变换(FFT)的替代方法,Prony方法用于处理FDTD提供的数据,以获得频率参数。发现该替代方法大大减少了表征不同设备所需的CPU时间。通过分析波导中不同的介电不连续性,可以清楚地看到获得的改进。将结果与经典FDTD-FFT方法给出的结果以及有限元方法提供的结果在频域中进行比较。

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