2 papers
math.AP2025
Solving the Scattering Problem for Open Wave-Guide Networks, III: Radiation Conditions and Uniqueness
Charles L. Epstein, Rafe Mazzeo
This paper continues the analysis of the scattering problem for a network of open wave-guides started in [arXiv:2302.04353, arXiv:2310.05816]. In this part we present explicit, phy…
math-ph2025
Solving the Scattering Problem for Open Wave-Guide Networks, I Fundamental Solutions and Integral Equations
Charles L. Epstein
We introduce a layer potential representation for the solution of the transmission problem defined by two dielectric channels, or open wave-guides, meeting along the straight-line…