Abstract
The scattered field is calculated for plane wave incidence on a periodic rectangularly corrugated surface (thin comb grating) with hard (Neumann) boundary conditions. Except for the hard boundary (and the consequent representation of the field in the comb wells), the formalism is similar to that of a previous paper [J. Math. Phys. 12, 1913 (1971)]. Reflection coefficients are plotted, grating anomalies illustrated, and a correspondence between reflection coefficients and amplitude phases (as a function of corrugation depth) is illustrated.

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