Articles with anti-glare surfaces exhibiting low sparkle with minimal color artifacts

An article comprising:

• a first major surface;
• a second major surface opposing the first major surface;
• and
• a scattering region formed in the first major surface, wherein, within the scattering region, the first major surface comprises:
• a plurality of first regions disposed at a first height relative to an imaginary base plane extending through the substrate, and
• a plurality of second regions disposed at a second height relative to the imaginary base plane, wherein:
• the first height is greater than the second height by an etch depth that is greater than or equal to 80 nm and less than or equal to 600 nm,
• the scattering region comprises a radial PSD that comprises a first range of scattering angles on one side of a peak angle (θpeak) where the radial PSD increases with increasing scattering angle and a second range of scattering angles on a second side of θpeak where the radial PSD decreases with increasing scattering angle,
• a bidirectional reflectance distribution function (“BRDF”) of the article is less than 10−5 times a peak intensity value at a scattering angle of 20° relative to specular, and
• the BRDF is measured from light having a wavelength of 520 nm that is incident on the first major surface at an angle of incidence of 20°.

An article comprising:

• a substrate comprising:
• a first major surface;
• a second major surface opposing the first major surface;
• and
• a scattering region formed in the first major surface, wherein, within the scattering region, the first major surface comprises:
• a plurality of first regions disposed at a first height relative to an imaginary base plane extending through the substrate,
• a plurality of second regions disposed at a second height relative to the imaginary base plane, and
• a plurality of sloped transition surfaces extending between boundaries of the plurality of first regions and the plurality of second regions, wherein:
• the plurality of sloped transition surfaces are sloped such that a height of the first major surface decreases with increasing distance from boundaries of the plurality of first regions,
• at least some of the plurality of sloped transition surfaces extend a lateral distance that is greater than or equal to 1.0 μm and less than or equal to 10 μm between ones of the plurality of first regions and the plurality of second regions that are connected by the sloped transition surfaces, wherein the lateral distance extended by a sloped transition surface is measured in a direction parallel to a surface normal of the sloped transition surface and parallel to the imaginary base plane, and
• the scattering region comprises a radial PSD that comprises:
• a first range of scattering angles where the radial PSD increases with an increase in a scattering angle of light relative to a specular direction,
• a peak scattering angle θpeak where the radial PSD comprises a peak value, and
• a second range of scattering angles at scattering angles greater than θpeak where the radial PSD decreases to 10% of the peak value at a first scattering angle that is greater than or equal to 2° and less than or equal to 15° relative to the specular direction.