In this work, a generalized form for the augmented electric field integral equation with perturbation method is studied. By implementing Taylor expansion on all the frequency‐dependent matrix terms and the unknowns, the current coefficients on each frequency order can be obtained in the perturbation method, where the accuracy can be guaranteed near the zero frequency or within the static frequency region. When the frequency goes higher, more expanding terms are required to obtain the accurate results. In order to obtain a wideband solution, a general formulation for the perturbation method is derived and analyzed for the first time. As a result, the improved method can be further extended to dynamic region. Numerical results show that the achieved results for both capacitive circuit problems and plane wave scattering problems are more accurate in comparison with those obtained from the traditional solutions, where the number of the required expanding terms can be determined according to the corresponding error analysis.

中文翻译：

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摄动法研究增强电场积分方程的广义公式研究。

在这项工作中，研究了用扰动法推广电场积分方程的广义形式。通过对所有与频率相关的矩阵项和未知数执行泰勒展开，可以用扰动方法获得每个频率阶上的当前系数，其中可以保证精度接近零频率或在静态频率范围内。当频率升高时，需要更多的扩展项才能获得准确的结果。为了获得宽带解决方案，首次推导并分析了扰动方法的一般公式。结果，改进的方法可以进一步扩展到动态区域。