University of Cambridge > > Waves Group (DAMTP) > Shouting at a Staircase: Acoustic Scattering off a Plane with a Step

Shouting at a Staircase: Acoustic Scattering off a Plane with a Step

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There has been interest in reducing the noise emitted by submarines for a variety of reasons including defence, environmental and ecological issues. One way to do so is to optimally place the ribs/bulkheads along the hull of the submarine to minimise emitted sound. Computational models are not feasible for this purpose as a fine-grained mesh is required to simulate at sufficient detail, but such a mesh is too computationally demanding for practical purposes. An analytical model must therefore be used as a starting point.

I will present a much-simplified model consisting of an acoustic wave scattering off a plane with a small step, where the aim is to find the scattering potential. The general strategy for solving the problem will be outlined. The problem will then be compared with that of diffraction by a plate of finite thickness, as considered in the 1973 paper by Crighton and Leppington. I will show how symmetry and the solution to the Crighton and Leppington paper can be used to find the solution for our problem of the plane with a small step.

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

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