In this paper, we propose the index matched anisotropic crystal lens. The proposed optical element acts as a transparent glass in extraordinary polarized light and a lens in ordinary polarized light. The conceptual diagram and principle of the index matched anisotropic crystal lens are presented and the ray tracing simulation is performed to verify and analyze the functionality and the distortion of the real world scene. The index matched anisotropic crystal lens is implemented with calcite and the index matching liquid. The preliminary system to show the feasibility of the proposed optical element is implemented. The lens mode and the transparent mode are presented and the distortion along the incident direction of the light is also analyzed by the experiment. It is expected that the index matched anisotropic crystal lens can be a good candidate for the head-up display and head-mounted display.
A head-mounted compressive three-dimensional (3D) display system is proposed by combining polarization beam splitter (PBS), fast switching polarization rotator and micro display with high pixel density. According to the polarization state of the image controlled by polarization rotator, optical path of image in the PBS can be divided into transmitted and reflected components. Since optical paths of each image are spatially separated, it is possible to independently focus both images at different depth positions. Transmitted p-polarized and reflected s-polarized images can be focused by convex lens and mirror, respectively. When the focal lengths of the convex lens and mirror are properly determined, two image planes can be located in intended positions. The geometrical relationship is easily modulated by replacement of the components. The fast switching of polarization realizes the real-time operation of multi-focal image planes with a single display panel. Since it is possible to conserve the device characteristic of single panel, the high image quality, reliability and uniformity can be retained. For generating 3D images, layer images for compressive light field display between two image planes are calculated. Since the display panel with high pixel density is adopted, high quality 3D images are reconstructed. In addition, image degradation by diffraction between physically stacked display panels can be mitigated. Simple optical configuration of the proposed system is implemented and the feasibility of the proposed method is verified through experiments.