论文标题
AIMX：一种扩展的自适应积分方法，用于复杂结构的快速电磁建模
AIMx: An Extended Adaptive Integral Method for the Fast Electromagnetic Modeling of Complex Structures
论文作者
论文摘要
表面积分方程（SIE）方法对于从集成电路到天线阵列的各种设备的有效电磁建模非常重要。 SIES的现有加速算法，例如自适应积分方法（AIM），可以在分离良好的网格元素之间快速近似相互作用。附近的相互作用涉及内核的奇异性，而必须以每个感兴趣的频率直接集成准确地计算出来，这在计算上可能很昂贵。我们提出了一种新型算法，用于降低同质和分层背景介质的近区计算的每次频率。在拟议的扩展AIM（AIMX）中，SIE操作员被分解为频率独立的项，该项包含内核的奇异性和非频率依赖性项。直接集成仅是频率无关的项需要，并且可以在每个频率下重复使用，从而导致频率更快。正如通过误差分析所证实的，通过快速傅立叶变换（FFT）的加速度，通过快速傅立叶变换（FFT）加速以良好的精度捕获频率。提出的方法的准确性和效率是通过从几个应用中绘制的数值示例来证明的，而CPU时间被三个到16的因素显着降低。
Surface integral equation (SIE) methods are of great interest for the efficient electromagnetic modeling of various devices, from integrated circuits to antenna arrays. Existing acceleration algorithms for SIEs, such as the adaptive integral method (AIM), enable the fast approximation of interactions between well-separated mesh elements. Nearby interactions involve the singularity of the kernel, and must instead be computed accurately with direct integration at each frequency of interest, which can be computationally expensive. We propose a novel algorithm for reducing the cost-per-frequency of near-region computations for both homogeneous and layered background media. In the proposed extended AIM (AIMx), the SIE operators are decomposed into a frequency-independent term containing the singularity of the kernel, and a nonsingular frequency-dependent term. Direct integration is only required for the frequency-independent term, and can be reused at each frequency, leading to significantly faster frequency sweeps. The frequency-dependent term is captured with good accuracy via fast Fourier transform (FFT)-based acceleration even in the near region, as confirmed with an error analysis. The accuracy and efficiency of the proposed method are demonstrated through numerical examples drawn from several applications, and CPU times are significantly reduced by factors ranging from three to 16.
