Surface wave scattering by a step

The Wiener-Hopf technique is used to study the scattering of a surface wave which is incident upon the junction of two semi-infinite planes joined together by a step of height
a
. Both the planes as well as the step have a normalized surface reactance
X
, which supports the surface wave. The expression for the scattered field contains a series of unknown constants which require numerical solution. Graphs of the transmission and reflection coefficients for normalized reactances of 0.1 and 0.5 are presented for a step height of less than haft a wavelength.