Rainbow reduction in waveguide displays

A near-eye display comprising:

• a waveguide;
• an input coupler configured to couple display light from an image source into the waveguide;
• an output coupler coupled to the waveguide and configured to:
• refractively transmit ambient light from an environment in front of the near-eye display;
• and
• diffractively couple the display light out of the waveguide;
• and
• an angular-selective transmissive layer, the angular-selective transmissive layer configured to reflect, diffract, or absorb ambient light incident on the angular-selective transmissive layer with an incidence angle greater than a threshold value,
• wherein the output coupler comprises one or more grating layers and is configured to cause destructive interference between ambient light diffracted by at least two grating layers or between ambient light diffracted by different portions of one grating layer.