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A rank‐revealing preconditioner for the fast integral‐equation‐based characterization of electromagnetic crystal devices
Author(s) -
Pissoort Davy,
Michielssen Eric,
Vande Ginste Dries,
Olyslager Femke
Publication year - 2006
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.21475
Subject(s) - preconditioner , solver , iterative method , integral equation , shielded cable , microwave , physics , computational electromagnetics , computer science , mathematics , mathematical analysis , electromagnetic field , algorithm , mathematical optimization , telecommunications , quantum mechanics
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‐vector multiplication cost. The versatility and computational efficiency of the shielded‐block preconditioner 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. © 2006 Wiley Periodicals, Inc. Microwave Opt Technol Lett 48: 783–789, 2006; Pubished online in Wiley InterScience (www.interscience.wiley.com) DOI 10.1002/mop.21475