Scattering from a Periodic Corrugated Surface. Part I. Semi-Infinite Inhomogeneously Filled Plates with Soft Boundaries

摘要

An incident plane wave is scattered from a surface which is corrugated in one dimension and which is described by an infinite number of periodically spaced semi-infinite parallel plates (comb) having soft boundary conditions. An additional plate is placed between each set of adjacent plates, thus dividing the periodicity interval into two regions, one of which doesn't differ in its properties from the region above the plates, while the second region is inhomogeneously filled. The latter means that this region differs in wave-number and density from the surrounding media. Both the wavenumber and the density are here assumed to be constant. The two examples treated in detail are zero-thickness plates with arbitrary incident angle, and arbitrarily thick (inhomogeneous) plates at normal incidence. (Author)