Diffraction of acoustic waves by a wedge of point scatterers

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• Matthew Nethercote (Manchester)
• Monday 15 November 2021, 15:30-16:30
• CMS, MR14.

If you have a question about this talk, please contact Alistair Hales.

This talk considers the problem of diffraction by a wedge consisting of two semi-infinite periodic arrays of point scatterers. The solution is obtained in terms of two coupled systems, each of which is solved using the discrete Wiener-Hopf technique. An effective and accurate iterative numerical procedure is developed to solve the diffraction problem, which allows us to compute the interaction of thousands of scatterers forming the wedge. A crucial aspect of this numerical procedure is the effective truncation of slowly convergent single and double infinite series, which requires careful asymptotic analysis. A convergence criteria is formulated and shown to be satisfied for a large class of physically interesting cases. A comparison to direct numerical simulations is made, highlighting the accuracy of the method.

This talk is part of the Waves Group (DAMTP) series.

This talk is included in these lists:

• CMS, MR14
• Waves Group (DAMTP)

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