Transverse image translation using an optical freeform single lens

Abstract

In this paper, we have proposed an approach that utilizes freeform optical surfaces to realize a novel optical function called transverse image translation, which acts as a basic geometrical transformation for images. Its purpose is to make the image of a given optical system move directionally with the designated distance by means of inserting and arranging some extra optical elements behind the given system. The structure of the given system, as well as its optical specifications, stays unchanged when performing the translation. As the translation is transverse, the image can only move transversely in the plane where the original image lies. A freeform single lens comprising two different freeform surfaces is designed for the given system as the only translation element. The image of the given system is expected to be successfully translated transversely as designed when the freeform lens is properly inserted. The design method and process of the freeform lens is presented briefly. Additionally, a design example is introduced to demonstrate the feasibility of our proposed approach for this new type of transverse image translation.

Analysis of freeform mirror systems based on the decomposition of the total wave aberration into Zernike surface contributions

“…As an example aberrations of a classical Cooke triplet objective with freeform single lens added for transverse image translation [52] is analyzed; see Figure 4-22. In this approach a single freeform lens is employed to reduce retro-reflection into an axially symmetric objective [53].…”

Design of a miniature anamorphic lens with a freeform front group and an aspheric rear group

“…20 When a non-symmetrical surface shape is needed, freeform optics has shown terrific ability for aberration correction in compact off-axis systems [21][22][23][24][25][26] and is reported to achieve special optical properties when adopted in coaxial systems. 27,28 Due to the non-rotationally symmetrical surface shape, freeform elements can serve as the double curvature elements to achieve different focal lengths in the X and Y directions in an anamorphic lens and provide an extra degree of freedom to balance aberrations as compared with cylindrical or toroid ones.…”

Accurate calibration of geometrical error in reflective surface testing based on reverse Hartmann test

“…With the development of optical design and fabrication, especially the increasing demand of system performance improvement, various types of optical surfaces including aspheric and freeform surfaces have been widely applied in illuminating [1], display [2,3] and imaging systems [4][5][6], etc. It places ultrahigh requirement on the testing accuracy of the optical elements with complex freeform surfaces, and various methods have been proposed to achieve the accurate testing of optical surfaces.…”