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physics.comp-ph2020
Nonlinear eigenvalue problems for coupled Helmholtz equations modeling gradient-index graphene waveguides
Jung Heon Song, Matthias Maier, Mitchell Luskin
We discuss a quartic eigenvalue problem arising in the context of an optical waveguiding problem involving atomically thick 2D materials. The waveguide configuration we consider co…
physics.comp-ph2018
Energy minimization of 2D incommensurate heterostructures
Paul Cazeaux, Mitchell Luskin, Daniel Massatt
We derive and analyze a novel approach for modeling and computing the mechanical relaxation of incommensurate 2D heterostructures. Our approach parametrizes the relaxation pattern…