3 papers
math-ph2026
Continuum honeycomb Schrödinger operators with incommensurate line defects
Pierre Amenoagbadji, Michael I. Weinstein
We study wave propagation in 2D honeycomb structures with a non-commensurate or ``irrational'' line defect or edge. Our model is a Schrödinger operator which interpolates, across t…
math.AP2026
Wave propagation in the frequency regime in one-dimensional quasiperiodic media -Limiting absorption principle
Pierre Amenoagbadji, Sonia Fliss, Patrick Joly
We study the one-dimensional Helmholtz equation with (possibly perturbed) quasiperiodic coefficients. Quasiperiodic functions are the restriction of higher dimensional periodic fun…
math.AP2024
Time-harmonic wave propagation in junctions of two periodic half-spaces
Pierre Amenoagbadji, Sonia Fliss, Patrick Joly
We are interested in the Helmholtz equation in a junction of two periodic half-spaces. When the overall medium is periodic in the direction of the interface, Fliss and Joly (2019)…