| CPC G02B 6/0036 (2013.01) [G02B 6/0016 (2013.01); G02B 6/0076 (2013.01); G02B 27/0172 (2013.01); G02B 2027/0123 (2013.01); G02B 2027/0132 (2013.01)] | 19 Claims |

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1. A waveguide apparatus comprising:
an in-coupler grating configured to use diffraction order M1, the in-coupler grating having a first grating pitch Λ1 and a first grating vector G1 substantially perpendicular to a first axis, x;
a first eye pupil expander grating configured to use diffraction order M2, the first eye pupil expander having a second grating pitch Λ2 and second a grating vector G2 having a first angle ΦG with respect to the first axis;
a second eye pupil expander grating configured to use diffraction order M3, the second eye pupil expander having a third grating pitch Λ3 and a third grating vector G3 having a second angle of between 80°+ΦG and 100°+ΦG with respect to the first axis; and
an out-coupler grating configured to use diffraction order M4, the out-coupler grating having a fourth grating pitch Λ4 and a fourth grating vector G4 substantially perpendicular to the first axis;
wherein the out-coupler grating is configured to use a first diffractive order, and at least one of the in-coupler grating and the eye pupil expander gratings is configured to use a second diffractive order; and
wherein the third grating pitch Λ3 of the second eye pupil expander substantially satisfies:
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