# Two-dimensional acoustic scattering, conformal mapping, and the Rayleigh hypothesis.

@article{Martin2012TwodimensionalAS, title={Two-dimensional acoustic scattering, conformal mapping, and the Rayleigh hypothesis.}, author={P. Martin}, journal={The Journal of the Acoustical Society of America}, year={2012}, volume={132 4}, pages={ 2184-8 } }

Methods for solving two-dimensional scattering problems using conformal mappings are investigated. It is shown that their convergence relies on a mapped form of the Rayleigh hypothesis. It is concluded that methods based on conformal mappings offer no advantages over established methods in which the scattered field is expanded as a series of circular-cylindrical outgoing wavefunctions.

#### 9 Citations

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- 2013 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications
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On methods employing auxiliary sources for non-circular scattering problems

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On Methods Employing Auxiliary Sources for 2-D Electromagnetic Scattering by Noncircular Shapes

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Acoustic backscattering and radiation force on a rigid elliptical cylinder in plane progressive waves.

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