应用压缩传感求解宽角度电磁散射问题

Compressive Sensing for Solution of Electromagnetic Scattering over Wide Angles

  • 摘要: 基于矩量法中阻抗矩阵与电磁波入射方向的无关性,引入压缩传感技术,构建一种全新的含有丰富角度信息的入射源.在该入射源照射下利用矩量法获得感应电流的测度,在数次测度之后,通过快速正交匹配追踪算法可恢复各个角度入射下的激励电流.与传统的矩量法相比,计算结果保持很高的精度,且计算时间减少为原来的三分之一,从而降低了宽角度电磁响应分析的计算复杂度.

     

    Abstract: Based on a fact that impedance matrix in the method of moments(MoM) is independent of incident angles,a compressive sensing(CS) technique is introduced in constructing an incident source,in which much information about incident angle is included.Under the incident source,measurement of induced currents can be obtained with MoM.With orthogonal matching pursuit(OMP) technique,induced currents are reconstructed with few measurements.Compared with conventional MoM,high accuracy numerical results are obtained while computational time is reduced to one third.Computational complexity of wide angle electromagnetic scattering is reduced greatly.

     

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