Litcius/Paper detail

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

Zhonggen Wang, Haoran Yuan, Yufa Sun, Wenyan Nie, Pan Wang

2023IEEE Antennas and Wireless Propagation Letters13 citationsDOI

Abstract

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.

Topics & Concepts

Krylov subspaceOrthogonalityBasis (linear algebra)Basis functionBlock (permutation group theory)Subspace topologyAlgorithmGeneralized minimal residual methodComputer scienceMathematicsSingular value decompositionApplied mathematicsMathematical optimizationMathematical analysisIterative methodGeometryElectromagnetic Scattering and AnalysisMicrowave Imaging and Scattering AnalysisSynthetic Aperture Radar (SAR) Applications and Techniques