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Development of ADI-FDTD Methods with Dispersion-Relation-Preserving Features

机译:具有色散相关保持特性的ADI-FDTD方法的开发

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We present two methodologies that improve the performance of the alternating-direction-implicit (ADI) finite-difference time-domain (FDTD) scheme. The first one exploits optimized spatial operators and implements an artificial-anisotropy approach, so that errors around a central frequency are minimized. According to the second scheme, a matching-terms procedure is applied to the dispersion relation, so that approximations that improve space-time errors in a wideband fashion are obtained. The successful implementation of these principles is validated theoretically, while numerical tests reveal their advantageous properties in practical simulations.
机译:我们提出了两种方法,可提高交替方向隐式(ADI)时域有限差分(FDTD)方案的性能。第一个利用优化的空间算子并实现了人工各向异性方法,从而使中心频率附近的误差最小。根据第二方案,将匹配项过程应用于色散关系,从而获得以宽带方式改善时空误差的近似值。这些原理的成功实施在理论上得到了验证,而数值测试则表明了它们在实际仿真中的有利特性。

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