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Sommerfeld's solution as the limiting amplitude and asymptotics for narrow wedges |
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| Authors: | A I Komech A E Merzon A Esquivel Navarrete J E De La Paz Mndez T J Villalba Vega |
| Institution: | A. I. Komech,A. E. Merzon,A. Esquivel Navarrete,J. E. De La Paz Méndez,T. J. Villalba Vega |
| Abstract: | 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. |
| Keywords: | Diffraction narrow wedge incident wave reflected wave diffracted wave imiting amplitude principle boundary conditions time‐dependent scattering Sommerfeld integral |