Maximum reflection conditions for metallic waveguide grating with rectangular grooves

As a powerful tool for analyzing scattering properties of metallic reflector waveguide grating with rectangular grooves, the transfer matrix method based on the mode matching approach for waveguide step discontinuity is used. From numerical results, it is found that lengths of planar waveguide sections composing the grating should be properly chosen to have the maximum reflection for given transverse dimensions of the waveguide grating. In addition, to have proper reflection characteristics within an adequately small bandwidth around a desired center frequency, the grating should contain sufficient numbers of periods, and transverse waveguide dimensions should be chosen so as to be far enough from cutoff