Nonlinear eigenvalue problems for coupled Helmholtz equations modeling gradient-index graphene waveguides

DOI10.1016/j.jcp.2020.109871OpenAlexW3090938963MaRDI QIDQ2123870

Matthias Maier, Mitchell Luskin, Jung Heon Song

Publication date: 14 April 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.06531

zbMATH Keywords

nonlinear eigenvalue problemtime-harmonic Maxwell's equationsquadratificationguided modequartic eigenvalue problemsurface plasmon polariton

Mathematics Subject Classification ID

Numerical analysis (65-XX) Optics, electromagnetic theory (78-XX)

Related Items (1)

An Algorithm for the Complete Solution of the Quartic Eigenvalue Problem

Uses Software

• PETSc
• FEAST
• Julia

Cites Work

• Spectral equivalence of matrix polynomials and the index sum theorem
• Dipole excitation of surface plasmon on a conducting sheet: finite element approximation and validation
• Adaptive finite element simulations of waveguide configurations involving parallel 2D material sheets
• Möbius transformations of matrix polynomials
• The deal.II library, Version 9.1
• Analysis of FEAST spectral approximations using the DPG discretization
• A PRIMER ON SURFACE PLASMON-POLARITONS IN GRAPHENE
• Julia: A Fresh Approach to Numerical Computing
• SLEPc
• The Perfectly Matched Layer in Curvilinear Coordinates
• Robust Rayleigh Quotient Minimization and Nonlinear Eigenvalue Problems
• Finite Element Methods for Maxwell's Equations
• Spectral discretization errors in filtered subspace iteration

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