In this letter, a combination of characteristic mode (CM) and compressive sensing (CS) is utilized to accelerate the solution of bistatic scattering problems of three-dimensional (3-D) objects. The surface induced currents discretized by Rao–Wilton–Glisson basis functions are successfully sparsely transformed by CM basis functions based on domain decomposition. Different from the dense matrix equation of traditional method of moments (MoM), a low-rank CS model with smaller size is constructed in the proposed method, wherein the induced currents can be reconstructed efficiently. Due to partially filling of the impedance matrix and efficient recovery algorithm, the time cost in the proposed method is reduced dramatically. Last, the results from several numerical simulations validate the efficiency and accuracy of the proposed method.

中文翻译：

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使用压缩传感和特征模式快速分析三维物体的双基地散射问题

在这封信中，结合特征模式 (CM) 和压缩传感 (CS) 来加速解决三维 (3-D) 物体的双基地散射问题。由 Rao-Wilton-Glisson 基函数离散化的表面感应电流通过基于域分解的 CM 基函数成功地进行稀疏变换。与传统矩量法(MoM)的密集矩阵方程不同，该方法构建了一个尺寸更小的低秩CS模型，可以有效地重构感应电流。由于阻抗矩阵的部分填充和高效的恢复算法，该方法的时间成本显着降低。最后，几个数值模拟的结果验证了所提出方法的效率和准确性。