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Journal of Computational Electronics

, Volume 1, Issue 3, pp 411–414 | Cite as

Low-Rank Update Eigensolver for Supercell Band Structure Calculations

  • Ming Gu
  • Beresford Parlett
  • David Z.-Y. Ting
  • Jianlin Xia
Article
  • 49 Downloads

Abstract

In photonic or electronic and sonic band structure calculations, one often needs to solve the same eigenvalue problem many times for different sets of parameters. Often only a relatively small part of the matrix varies with these parameter changes. We have recently developed a method where, after the eigenvalue problem is solved once, the remaining cases could be computed much faster (150 times in a typical calculation). Prototype calculations using 2D photonic band structures as examples have verified this concept.

computation eigenvalue band structure low-rank update 

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Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • Ming Gu
    • 1
  • Beresford Parlett
    • 1
  • David Z.-Y. Ting
    • 2
  • Jianlin Xia
    • 3
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA
  2. 2.Jet Propulsion LaboratoryCalifornia Institute of TechnologyUSA
  3. 3.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

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