A single mirror magnifier with freeform surfaces using radial basis functions based on surface slope

Liuchang Xiao; Xing Zhao; Kainian Tong; Bo Zhang; Lipei Song; Lingjie Wang; Xiaodong Zhang

doi:10.1117/12.2524238

6 January 2020 A single mirror magnifier with freeform surfaces using radial basis functions based on surface slope

Liuchang Xiao, Xing Zhao, Kainian Tong, Bo Zhang, Lipei Song, Lingjie Wang, Xiaodong Zhang

Proceedings Volume 11383, Sixth Asia Pacific Conference on Optics Manufacture; 113830B (2020) https://doi.org/10.1117/12.2524238
Event: Sixth Asia Pacific Conference on Optics Manufacture, 2019, Hong Kong, Hong Kong

Abstract

It is of great importance to utilize a model to characterize the surfaces while designing an optical imaging system with freeform surfaces. For this purpose, a model with radial basis function based on surface slope (RBF-slope) for optical freeform surfaces was investigated by establishing the relationship between the shape factor and local surface slope, and improving the distributions of the basis functions for circular apertures. We performed the fitting experiment for “bumpy” paraboloids; the results demonstrated that the RBF-slope model has stronger fitting ability than conventional RBF model. A prototype of single mirror magnifier for head-worn display was designed and fabricated, in which the freeform mirror was described and characterized using the RBF-slope model. It can be proved by the design results that the RBF-slope model for optical freeform surfaces has obvious advantages in aberration balancing over conventional model. The primary experiments showed that the freeform surface was well fabricated and expected image display can be achieved.

Citation Download Citation

Liuchang Xiao, Xing Zhao, Kainian Tong, Bo Zhang, Lipei Song, Lingjie Wang, and Xiaodong Zhang "A single mirror magnifier with freeform surfaces using radial basis functions based on surface slope", Proc. SPIE 11383, Sixth Asia Pacific Conference on Optics Manufacture, 113830B (6 January 2020); https://doi.org/10.1117/12.2524238

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