Fast numerical method based on compressive sensing for electromagnetic back scattering from one-dimensional rough surface with wide incidence

The fast numerical method based on compressive sensing (CS) technology is introduced to calculate the electromagnetic (EM) scattering from a perfectly electrical conducting (PEC) rough surface. A new incident source with lower dimension is firstly obtained by employing the product of the measurement matrix and the voltage vector of the traditional method of moment (MOM). And then the measurements of the induced current vector are computed by solving the integral equation under the new incident source. Finally, the original induced currents on the rough surface are recovered by the Stagewise orthogonal matching Pursuit (StOMP) algorithm. Hence, the new method can greatly reduce the number of unknowns of the full MOM analysis. Good agreements between the CS and the exact results obtained by the MOM are exhibited. And the CS technology costs less time than the MOM.