Abstract: Various embodiments are directed to an apparatus and methods of forming and/or using an apparatus comprising a plurality of device components. An example method includes geometrically optimizing a periodic or aperiodic device comprising a plurality of device components by optimizing a topology, for each device component, from a starting point to have particular optical properties for a particular optical response. Each device component includes a plurality of geometric structures. The optimization includes selecting the starting point for a continuous profile to have the particular optical properties for the particular optical response, iteratively converging the continuous profile to a discrete profile, and, while iteratively converging to the discrete profile, adjusting edges between boundaries of the device components by accounting for fabrication constraints.

Abstract: Input optical signals propagate toward first optical diffuser, resulting in first-forward-directed optical signals that propagate toward a second optical diffuser, in turn resulting in second forward-directed optical signals. The second forward-directed optical signals collectively form the optical output of an illumination source that appears to emanate from an enlarged extended source and exhibits reduced speckle. The illumination source can include multiple laser sources formed on or attached to the first optical diffuser.

Abstract: An incident optical beam illuminates a subset of contiguous array of diffraction gratings on a substrate and produces one or more diffracted output beams. The grating array can be arranged so that (i) multiple incident beams result in a contiguous composite solid angle of far-field illumination, (ii) multiple output beams arising from any one incident beam do not overlap in the far field, or (iii) both. The gratings of the array can be arranged to produce a desired far-field illumination intensity profile. The grating array can be arranged so as to suppress or eliminate laser speckle arising from the output beams.

Abstract: Various embodiments are directed to an apparatus and methods of forming and/or using an apparatus comprising a plurality of device components. An example method includes geometrically optimizing a periodic or aperiodic device comprising a plurality of device components by optimizing a topology, for each device component, from a starting point to have particular optical properties for a particular optical response. Each device component includes a plurality of geometric structures. The optimization includes selecting the starting point for a continuous profile to have the particular optical properties for the particular optical response, iteratively converging the continuous profile to a discrete profile, and, while iteratively converging to the discrete profile, adjusting edges between boundaries of the device components by accounting for fabrication constraints.