A rank-revealing preconditioner for the fast integral-equation-based characterization of electromagnetic crystal devices

作者：Pissoort D^*; Michielssen E; Vande Ginste D; Olyslager F

来源：Microwave and Optical Technology Letters, 2006, 48(4): 783-789.

DOI：10.1002/mop.21475

• photonic crystals
• preconditioning
• rank-revealing decomposition

A novel rank-revealing shielded-block preconditioner that accelerates the iterative integral-equation-based analysis of wave propagation in electromagnetic crystal (EC) devices is presented. The proposed shielded-block preconditioner exploits the bandgap character of the background electromagnetic crystal in order to achieve both rapid convergence of the iterative solver as well as a low matrix-vectar multiplication cost. The versatility and computational efficiency of the shielded-block precondlitioner are demonstrated by its application to the analysis of wave propagation in a defectless electromagnetic crystal along an electromagnetic crystal waveguide and out of an electromagnetic crystal horn antenna array.

• 出版日期2006-4