title: Analytical solutions for image orientation changes in prisms.
abstract: Optical prisms are most commonly employed because of their ability to output an image of different orientation relative to the input object. Previous papers have presented a systematic but numeric approximation for designing a single prism, which outputs an image with a specific image orientation. Instead of a numerical solution, an exact analytical solution for the same problem is offered. Further, how to design prism systems by using off-the-shelf right-angle prisms and roof prisms as building blocks to obtain an output image with a specific image orientation is addressed. Illustrative examples are given to verify the proposed approach and demonstrate its use.
authors.affiliation: Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan.
authors.forename: Chuang-Yu
authors.initials: CY
authors.lastname: Tsai
authors.forename: Psang Dain
authors.initials: PD
authors.lastname: Lin