• Physics, Medicine
  • Published in
    The Journal of the Acoustical…
    2012
  • DOI:10.1121/1.4747004

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 A 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. 

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