Perfectly blazed reflection gratings with rectangular grooves

For plane electromagnetic wave incidence on a perfectly conducting periodic surface with a rectangular groove profile, the coefficients of the matrices governing the scattered mode amplitudes are given. These matrices decompose when the Bragg condition is satisfied, facilitating computation. Numerical results converge to those of the comb grating as the groove width approaches the period. Data for perfect blazing to the n = −1 spectral order (i.e., all the power is confined to this order) for TE, TM, and arbitrary polarization are given. Perfect blazing with arbitrary polarization for near-grazing incidence is shown to be possible in principle with deep wide grooves. Numerical and experimental results are shown also for narrow groove widths, effective for TM polarization only.