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math.AP2026
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…
math.AP2026
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…
math-ph2026
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…