| CPC G02B 27/0172 (2013.01) [G02B 5/1842 (2013.01); G02B 6/005 (2013.01)] | 20 Claims |

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1. A system used in a head-mounted display, the system comprising:
a projector, configured to emit light;
a waveguide configured to guide light received from the projector;
a grating configured to couple light out of the waveguide, wherein:
the grating comprises a design of two or more materials having different refractive indices;
the design is repeated periodically in a first dimension and repeated periodically in a second dimension to form a two-dimensional pattern;
a refractive index of the two-dimensional pattern is approximated by a two-dimensional Fourier series comprising a first coefficient of order (1, 0), a second coefficient of order (0, 1), and a third coefficient of order (1, 1); and
the third coefficient is less than half the first coefficient and less than half the second coefficient, such that light from the (1, 1) diffraction order of the grating is suppressed.
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