TY - JOUR
T1 - High-frequency scattering in a certain stratified medium: the three-part problem
JF - Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
JO - Proc R Soc Lond A Math Phys Sci
SP - 315
LP - 343
M3 - 10.1098/rspa.1977.0136
VL - 356
IS - 1686
AU -
Y1 - 1977/09/15
UR - http://rspa.royalsocietypublishing.org/content/356/1686/315.abstract
N2 - The high-frequency scattering of scalar waves by a plane boundary in a certain two-dimensional stratified medium is considered. On the boundary, it is assumed that the impedance takes three different values. A high-frequency approximation to the solution is found for certain positions of source and point of observation; it is proved rigorously that the approximation is asymptotic to the exact field in the limit of high frequency. Physically, the results imply that energy propagates by means of Kellerâ€™s creeping modes, mode conversion occurring at the points of impedance discontinuity.
ER -