Portal de Periódicos da CAPES

Sommerfeld's solution as the limiting amplitude and asymptotics for narrow wedges

2018; Wiley; Volume: 42; Issue: 15 Linguagem: Inglês

10.1002/mma.5075

1099-1476

Alexander Komech, Anatoli Merzon, Anel Esquivel Navarrete, J. E. De la Paz Méndez, Thomas Vega,

Electromagnetic Scattering and Analysis

We analyze the Sommerfeld solution to the stationary diffraction by a half‐plane. We prove that this solution is the limiting amplitude for time‐dependent scattering of incident plane waves with a broad class of the profile functions. We also show that this solution is the asymptotics of the limiting amplitudes of solutions to time‐dependent scattering problem with narrow wedges when the angle of the wedge tends to zero.