A two-dimensional binary phase grating is
proposed in this paper. Unlike a conventional transmission grating, in
theory, the proposed phase grating can simultaneously eliminate the
zero- and high-order diffraction along certain axes on the image
plane, forming a pure sinusoidal transmission modulation that leaves
only the first-order diffraction. The first-ever, to the best of our
knowledge, theoretical model for achieving sinusoidal transmission
modulation is suggested in this paper; then the theoretical
calculation and experiment results are displayed to investigate the
physical mechanism of the proposed grating. Moreover, the manipulation
on the arrangement of grating design can disperse or concentrate the
diffraction energy at a specific axis. Finally, almost
first-order-only diffraction is achieved on a single axis by
introducing random changes to certain geometrical parameters of the
two-dimensional binary phase grating. Our work provides potential
applications in optical science and engineering fields.