1 citations · 1 across the 4 of their papers we have counts for
6 papers
Radiation Conditions and Uniqueness Theorems for Open Wave-guide Networks
Charles L. Epstein, Rafe Mazzeo, Solomon Quinn +1
We state radiation conditions and prove a variety of uniqueness theorem for models of wave-guide networks, including acoustic wave-guide networks, and electromagnetic wave-guide ne…
Fresnel scattering for open waveguide networks
Solomon Quinn, Charles L. Epstein
This paper concerns the Helmholtz scattering problem for open waveguide networks, extending the analysis from [arXiv:2302.04353, arXiv:2310.05816, arXiv:2401.04674] to plane-wave i…
Macroscopic approximation of tight-binding models near spectral degeneracies and validity for wave packet propagation
Guillaume Bal, Paul Cazeaux, Daniel Massatt +1
This paper concerns the derivation and validity of macroscopic descriptions of wave packets supported in the vicinity of degenerate points in the dispersion relation of tig…
Complex scaling for open waveguides
Charles L. Epstein, Tristan Goodwill, Jeremy Hoskins +2
In this work we analyze the complex scaling method applied to the problem of time-harmonic scalar wave propagation in junctions between `leaky,' or open dielectric waveguides. In […
Higher-order continuum models for twisted bilayer graphene
Solomon Quinn, Tianyu Kong, Mitchell Luskin +1
The first-order continuum PDE model proposed by Bistritzer and MacDonald in \cite{bistritzer2011moire} accurately describes the single-particle electronic properties of twisted bil…
Integral formulation of Dirac singular waveguides
Guillaume Bal, Jeremy Hoskins, Solomon Quinn +1
This paper concerns a boundary integral formulation for the two-dimensional massive Dirac equation. The mass term is assumed to jump across a one-dimensional interface, which model…