Fast Eigensolver for plasmonic metasurfaces

Author

• Alexander O. Korotkevich, University of New Mexico, Landau Institute of Theoretical Physics
• Xingjie Ni, Purdue University, Birck Nanotechnology CenterFollow
• Alexander V. Kildishev, Purdue University, Birck Nanotechnology CenterFollow

Abstract

Finding the wavevectors (eigenvalues) and wavefronts (eigenvectors) in nanostructured metasurfaces is cast as a problem of finding the complex roots of a non-linear equation. A new algorithm is introduced for solving this problem; example eigenvalues are obtained and compared against the results from a popular, yet much more computationally expensive method built on a matrix eigenvalue problem. In contrast to the conventional solvers, the proposed method always returns a set of 'exact' individual eigenvalues. First, by using the Lehmer-Schur algorithm, we isolate individual complex roots from each other, then use a zero-polishing method applied at the very final stage of ultimate eigenvalue localization. Exceptional computational performance, scalability, and accuracy are demonstrated. (C) 2014 Optical Society of America

Keywords

COUPLED-WAVE ANALYSIS, DIFFRACTION THEORY, PHASE DISCONTINUITIES, TM POLARIZATION, GRATINGS, REFLECTION, REFRACTION, THICK, LIGHT, IMPLEMENTATION

DOI

10.1364/OME.4.000288

Date of this Version

2-1-2014

Recommended Citation

Korotkevich, Alexander O.; Ni, Xingjie; and Kildishev, Alexander V., "Fast Eigensolver for plasmonic metasurfaces" (2014). Birck and NCN Publications. Paper 1524.
http://dx.doi.org/10.1364/OME.4.000288