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.

中文翻译：

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电磁仿真中宽带扫频的自适应内插方案

提出了一种自适应插值方案来准确计算电磁仿真中的宽带响应。在所提出的方案中，首先根据采样点的响应将采样点分为几组，以避免龙格现象和误差波动，然后使用不同的插值策略计算整个频段的响应。如果相对误差在特定频段内不满足预定义的阈值，则将对其进行细化，直到满足误差标准。还提供了详细的误差分析以验证插值方案的准确性。最后通过天线辐射和滤波器仿真两个数值算例验证了其精度和效率。