An extension of the rigorous modal theory for dielectric and finitely
conducting gratings is presented, which permits the analysis and synth
esis of binary profiles with several grooves in one period even for hi
ghly conducting gratings in TM polarization. We apply the modal method
to the analysis of the effects of finite conductivity in diffractive
optics, and to the synthesis of reflection-mode resonance-domain diffr
active elements. In particular, it is shown that the inversion symmetr
y of the diffraction pattern of a binary grating at normal incidence c
an be efficiently broken by the use of non-symmetric binary wavelength
-scale structures.