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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)…
math.AP2023
Wave propagation in one-dimensional quasiperiodic media
Pierre Amenoagbadji, Sonia Fliss, Patrick Joly
This work is devoted to the resolution of the Helmholtz equation in a one-dimensional unbounded medium. We assume the coefficients of this equation to be loc…