An adaptive interpolation scheme is proposed to accurately calculate the wideband responses in electromagnetic simulations. In the proposed scheme, the sampling points are first carefully divided into several groups based on their responses to avoid the Runge phenomenon and the error fluctuations, and then different interpolation strategies are used to calculate the responses in the whole frequency band. If the relative error does not satisfy the predefined threshold in a specific frequency band, it will be refined until the error criteria is met. The detailed error analysis is also presented to verify the accuracy of the interpolation scheme. At last, two numerical examples including the antenna radiation and the filter simulation are carried out to validate its accuracy and efficiency.
翻译：提议一个适应性内插办法,以精确计算电磁模拟中的宽带反应。在拟议的办法中,取样点首先根据其反应谨慎地分为若干组,以避免龙格现象和误差波动,然后采用不同的内插战略来计算整个频率波段的反应。如果相对错误不符合特定频率波段的预定阈值,则在达到误差标准之前予以改进。还提出详细的误差分析,以核实内插办法的准确性。最后,进行了两个数字示例,包括天线辐射和过滤模拟,以验证其准确性和效率。
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