Switching on the Sommerfeld Half-line Diffraction Problem
نویسندگان
چکیده
Talk Abstract This paper concerns the switching on of twodimensional time-harmonic scalar waves. We consider the diffraction of a time-harmonic plane wave by a halfline, determining the rate at which the solution of the time domain ‘switching on’ problem converges to the solution of the corresponding frequency domain problem (the classical ‘Sommerfeld problem’) as the time since the wave was switched on goes to infinity. The rate of convergence is found to be dependent both on the strength of the singularity on the leading wavefront, and on the observation point. In the case of grazing incidence the frequency domain solution is immediately attained along the shadow boundary after the arrival of the leading wavefront. The case of non-grazing incidence is also considered.
منابع مشابه
Switching on a two-dimensional time-harmonic scalar wave in the presence of a diffracting edge
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