title: Two-dimensional acoustic scattering, conformal mapping, and the Rayleigh hypothesis.
abstract: 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.
authors.affiliation: Department of Applied Mathematics and Statistics, Colorado School of Mines, Golden, Colorado 80401-1887, USA. pamartin@mines.edu
authors.forename: P A
authors.initials: PA
authors.lastname: Martin
mesh_terms: D000162:Acoustics / Q000295:instrumentation; D005583:Fourier Analysis; D008962:Models, Theoretical; D009038:Motion; D012542:Scattering, Radiation; D013016:Sound; D013997:Time Factors