On short-wave diffraction by an elongated body. Numerical experiments (Q1687958)

The authors study short-wave diffraction by a smooth and strictly convex body of revolution in the axisymmetric case. The boundary-layer method contains two large parameters: the Fock parameter \(M\) and another parameter \(\Lambda\) that characterizes the oblongness of the scatterer. This naturally gives the possibility of using the two-scale asymptotic expansion, where both \(M\) and \(\Lambda\) are regarded as independent parameters. The approximate formulas for the wave field depend on the mutual strength between the large parameters. Numerical experiments show that the Fock analytical solution is in a good agreement with the exact solution of the model problem. The oblongness parameter \(\Lambda\) of the scatterer does not affect significantly the wave field of the short-wave diffraction.