Phase space can be used for generalization of optical signals in high-dimension representation. In this study, from the perspective of phase space defined by space and spatial frequency, the near-eye display (NED) systems are unified as how to generate the optimal space-bandwidth product (SBP) distributions required by the human eye on the exit pupil plane. The microdisplay and NED optical system are equivalent to the input SBP and the SBP modulator, respectively. The input SBP is modulated by the NED optical system, and finally reaches the exit pupil plane to generate the desired SBP distribution. The proposed method can fully describe the performance of different NEDs, such as the field of view (FOV), exit pupil diameter (EPD), uniformity, display depth and ray aberration, etc. This unified phase-space analysis framework provides a brand-new approach for the classification of current near-eye display systems and the design of future near-eye display systems, especially the high-quality 3D display.
Holographic near-eye display (H-NED) is one of the most promising technologies in three-dimensional (3D) augmented reality and virtual reality displays due to its ability to provide all depth cues. The numerical calculation of diffraction fields is the basis and key step in the design flow of H-NEDs, and the sampling is the core. In this study, from the perspective of phase space optics, a systematical analysis on the sampling of the wavefield and intensity in H-NEDs is presented. The space-bandwidth product evolution of the wavefield and intensity are given via Wigner distribution function. The sampling criteria, minimum number of samples and conservation law of nonuniform sampling points of the intensity are provided. Such a comprehensive sampling analysis provides guidelines for the correct numerical calculation of diffraction fields in H-NEDs.
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