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
        }
}
  • P. Martin
  • Published 2012
  • Physics, Medicine
  • The Journal of the Acoustical Society of America
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. 
A general method of acoustic waves scattering in inhomogeneous material
On methods employing auxiliary sources for non-circular scattering problems
On Methods Employing Auxiliary Sources for 2-D Electromagnetic Scattering by Noncircular Shapes

References

SHOWING 1-10 OF 20 REFERENCES
Singularities and Rayleigh's hypothesis for diffraction gratings.
  • J. Keller
  • Physics, Medicine
  • Journal of the Optical Society of America. A, Optics, image science, and vision
  • 2000
...
1
2
...