Abstract: This document relates to an optical device that uses adaptive optics as part of an optical system. The adaptive optics can be used to correct light rays that correspond to a portion of an eye box based on information received from an eye-tracking unit, and can also correct for aberrations in the optics in the optical device. The adaptive optics include corrective elements that can be modified using modifying elements to correct the angle of light rays, such that rays associated with a specific pupil position and gaze direction of a user's eye can be made parallel and ensure a high quality image is viewed by the user.

Abstract: The present disclosure describes near-eye display systems including an array of projectors and a one-dimensional exit pupil expander. The array of projectors can be arranged along a first dimension and can output image light towards an input coupler within a waveguide that provides one-dimensional exit pupil expansion. In some implementations, arrays of monochromatic projectors are implemented and arranged in offset columns. The input coupler in-couples the image light from the array of projectors into a TIR path within the waveguide. Different optical elements, including diffractive and reflective optics, may be implemented as the input coupler. The image light travels within the waveguide until it interacts with an output coupler. Upon interaction with the output coupler, the image light is expanded in a second dimension transverse to the first dimension and is coupled out of the waveguide.

Abstract: The present invention is directed to gambling system and methods. The systems and methods involve a commit-reveal protocol that is configured to obtain random numbers from a player computer and a casino computer and use the obtained random numbers as seed to execute a random operation of an online game such as online slot machine. The described commit-reveal protocol eliminates extra rounds of communication and ensure a fair outcome. The systems and method may be supported by a blockchain system to further ensure that the operation of the online game is not rigged or false.