Literature DB >> 24104147

Accelerated solution of the frequency-domain Maxwell's equations by engineering the eigenvalue distribution of the operator.

Wonseok Shin, Shanhui Fan.   

Abstract

We introduce a simple method to accelerate the convergence of iterative solvers of the frequency-domain Maxwell's equations for deep-subwavelength structures. Using the continuity equation, the method eliminates the high multiplicity of near-zero eigenvalues of the operator while leaving the operator nearly positive-definite. The impact of the modified eigenvalue distribution on the accelerated convergence is explained by visualizing residual vectors and residual polynomials.

Year:  2013        PMID: 24104147     DOI: 10.1364/OE.21.022578

Source DB:  PubMed          Journal:  Opt Express        ISSN: 1094-4087            Impact factor:   3.894


  1 in total

1.  Fabrication-constrained nanophotonic inverse design.

Authors:  Alexander Y Piggott; Jan Petykiewicz; Logan Su; Jelena Vučković
Journal:  Sci Rep       Date:  2017-05-11       Impact factor: 4.379

  1 in total

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