Chung-Jen OU

Hsiuping Solar Observatory, Department of Electrical Engineering, Hsiuping University of Science and Technology, Taichung 412-80, Taiwan

(Received August 26, 2012; Revised November 30, 2012; Accepted December 3, 2012)

Fresnel-like prism arrays are designed using geometric ray optics and fabricated on a curved surface according to specific focal length requirements. In this study, the tolerance of Fresnel-like prism structures on arbitrary surfaces was investigated. Compact equations (iterative and non-iterative) based on analytical formulation can be helpful in exploring the sensitivity associated with the fabrication of Fresnel-like structures. The curved surface in this study revealed a linear relationship between maximum angular tolerance and the angle of incident rays. An understanding of such linearity is a key issue in the fabrication of lenses as well as in the sensitivity formulae used for optical structures in the development of next-generation optics.

Key words: Fresnel-like prism