An optical waveguide grating coupler for coupling light between a planar
waveguide and an optical element such as an optical fiber. The optical
waveguide grating coupler includes a grating comprising a plurality of
elongate scattering elements. The optical waveguide grating coupler is
preferably flared, and in various embodiments has hyperbolically shaped
sidewalls. The elongate scattering elements are preferably curved, and in
some embodiments, the scattering elements have elliptically curved
shapes. Preferably, the elongated scattering elements have grating widths
selected to accommodate the desired optical intensity distribution.