Hewett David P, Svensson U Peter
Department of Mathematics and Statistics, University of Reading, Whiteknights, P.O. Box 220, Reading, RG6 6AX, United Kingdom.
Acoustics Research Centre, Department of Electronics and Telecommunications, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway.
J Acoust Soc Am. 2013 Dec;134(6):4303. doi: 10.1121/1.4828824.
The secondary edge source line integral formulation for diffraction modeling uses edge sources with a 1/r dependency, in addition to a directivity function. At first sight, this might seem to contradict the expected 1/r behavior for the gradient near the edge of a thin screen. An analysis is presented for the special case of perpendicular plane wave incidence onto a thin screen, which shows that the secondary edge source formulation does indeed lead to the expected behavior close to the edge of an ideal wedge.
