Fresnel-like prism structure generating algorithm on a curved surface with iterative and non-iterative forms
A Fresnel-like structure is required for various kinds of applications, such as contact lenses in the biomedical field, solar concentrators in the energy industry, wave-front correctors for display technology, and beam shaping for illumination systems. In this report, the author provides a simple iterative algorithm that can generate prism structures on arbitrary curved surfaces in an analytical form. Using this algorithm, a spreadsheet program can easily generate the profile of prism structures for optical software simulation. Moreover, a noniterative formulation is derived in order to reduce the design procedures. Comparisons between iterative and noniterative formulations prove the feasibility and robustness of the present approach.
各種應用都需要類菲涅爾結構，例如生物醫學領域的隱形眼鏡、能源行業的太陽能聚光器、顯示技術的波前校正器以及照明系統的光束整形。在本報告中，作者提供了一種簡單的迭代算法，可以在任意曲面上以解析形式生成棱鏡結構。使用該算法，電子表格程序可以輕鬆生成用於光學軟件模擬的棱鏡結構輪廓。此外，為了減少設計程序，導出了非迭代公式。迭代和非迭代公式之間的比較證明了本方法的可行性和穩健性
