A conventional diffractive optical element (DOE), which consists of repetition of a unit pattern , has an advantage of applicability of the Fast Fourier Transform algorithm to calculate diffraction beam spots intensities on lattice points on an image plane. But, the conventional DOE has a drawback of impossibility of diffracting a laser beam off the lattice points. This invention designs a DOE by giving arbitrary complex amplitude transmittance {tmn} to every pixel (m, n), calculating actual Fourier transform from {tmn} to intensity W(α, β), and obtaining intensity of a diffraction beam directing in any α and β direction. Since α, β are not necessary to be on lattice points, the FFT is of no use. Angular resolutions U and V satisfy inequalities U