Block-Based Krylov Subspace Basis Functions for Solving Bistatic Scattering Problems

To improve the efficiency of constructing basis function in the method of moments combining compressive sensing and Krylov subspace for solving electromagnetic scattering problems of objects, this letter proposes a novel method, in which the blocking technique is employed to construct the Krylov subspace basis. First, the object is divided into some small blocks, and each block is extended to ensure the continuity of the current. Then, the Krylov subspace basis on each block is calculated. Furthermore, the orthogonality of the basis functions is enhanced by the singular value decomposition technique to achieve higher accuracy. The corresponding numerical calculations show that the proposed method can achieve significant time efficiency.