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math-ph2026
Topology of Bloch Bands from Cauchy Data
Didier Felbacq, Emmanuel Rousseau
In a previous work, the topology of inversion-symmetric one-dimensional periodic media was characterized through the pole-zero pattern of an impedance-like function associated with…
math-ph2023★ 1 cited
A single layer representation of the scattered field for multiple scattering problems
Didier Felbacq, Anthony Gourdin, Emmanuel Rousseau
The scattering of scalar waves by a set of scatterers is considered. It is proven that the scattered field can be represented as an integral supported by any smooth surface enclosi…