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math-ph2019
Time-dependent approach to the uniqueness of the Sommerfeld solution of the diffraction problem by a half-plane
A. Merzon, P. Zhevandrov, J. E. De la Paz Méndez +1
We consider the Sommerfeld problem of diffraction by an opaque half-plane with a real wavenumber interpreting it as the limiting case, as time tends to infinity, of the correspondi…
math-ph2019★ 4 cited
Wave scattering by a periodic perturbation: embedded Rayleigh-Bloch modes and resonances
P. Zhevandrov, A. Merzon, M. I. Romero Rodríguez +1
The scattering of quasiperiodic waves for a two-dimensional Helmholtz equation with a constant refractive index perturbed by a function which is periodic in one direction and of fi…