An efficient krylov-subspace-based algorithm to solve the dielectric-waveguide problem

Kaladhar Radhakrishnan, Weng Cho Chew

Research output: Contribution to journalArticlepeer-review


An efficient scheme based on the bi-Lanczos algorithm has been developed for analysis of the dielectric-waveguide problem. A two-dimensional finite-difference scheme in the frequency domain is used to discretize the waveguide cross section. The resulting sparse eigenvalue problem is solved efficiently using the bi-Lanczos algorithm. Apart from solving the modes of the dielectric waveguide, a scheme to solve for the fields in the presence of a localized source is also described. Numerical results are also included to confirm the validity of the method.

Original languageEnglish (US)
Pages (from-to)1345-1348
Number of pages4
JournalIEEE Transactions on Microwave Theory and Techniques
Issue number7
StatePublished - Jul 2001
Externally publishedYes


  • Bi-Lanczos algorithm
  • Finite difference
  • Optical waveguides

ASJC Scopus subject areas

  • Radiation
  • Condensed Matter Physics
  • Electrical and Electronic Engineering


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