Figure 7.

Schematic diagram of the convolution theorem analysis involved in finding the diffraction pattern of a particular grating. The grating is modeled in the real domain: a) an asymmetric grating unit cell formed by two square pulses is convoluted with b) a Dirac comb of spacing 2d to yield c) an infinite asymmetric grating. The diffraction pattern is found in the Fourier domain: d) The FT of the unit cell (plotted as the |FT|²) is multiplied by e) the FT of the Dirac comb. The square magnitude of each integrated peak is taken to yield f) the predicted diffraction pattern, where the solid blue dots are the even orders and open red dots are the odd orders. The solid lines in Figure 7f are the intensity functions for the even and odd orders (see eqs 3 and 4).