发明名称 METHOD FOR DESIGNING OFF-AXIAL OPTICAL SYSTEM WITH FREEFORM SURFACE
摘要 A method for designing off-axial optical system with freeform surfaces is provided. An initial system is established. A freeform surface of the off-axial optical system that needs to be solved is defined as a freeform surface. A number of feature rays are selected. A number of intersections of the feature rays with the freeform surface are calculated point by point based on a given object-image relationship and a vector form of Snell's law. A number of first feature data points are obtained from the intersections and surface fitted to obtain the freeform surface. All the freeform surfaces of the off-axial optical system that need to be solved are obtained by the method above to form a before-iteration off-axial optical system. The before-iteration off-axial optical system is used as the initial system for multiple iterations to obtain an after-iteration off-axial optical system.
申请公布号 US2016232257(A1) 申请公布日期 2016.08.11
申请号 US201615011640 申请日期 2016.01.31
申请人 Tsinghua University ;HON HAI PRECISION INDUSTRY CO., LTD. 发明人 ZHU JUN;YANG TONG;WU XIAO-FEI;JIN GUO-FAN;FAN SHOU-SHAN
分类号 G06F17/50;G06F17/16 主分类号 G06F17/50
代理机构 代理人
主权项 1. A method for designing an off-axial optical system with freeform surface, the method comprising: step (S1), establishing a first initial system, wherein the first initial system comprises a plurality of initial surfaces, and each of the plurality of initial surfaces corresponds to one freeform surface of the off-axial optical system; step (S2), a Nth freeform surface of the off-axial optical system that need to be solved is selected, wherein N=1, keeping the plurality of initial surfaces unchanged, selecting a plurality of feature rays Ri(i=1, 2 . . . K), calculating a Nth plurality of intersections of the plurality of feature rays Ri(i=1, 2 . . . K) with the Nth freeform surface point by point based on a given object-image relationship and a vector form of Snell's law, wherein the Nth plurality of intersections are a Nth plurality of feature data points Pi(i=1, 2 . . . K) of the Nth freeform surface; and obtaining a Nth equation of the Nth freeform surface by surface fitting the Nth plurality of feature data points Pi(i=1, 2 . . . K), wherein the Nth equation of the Nth freeform surface comprises a Nth base conic term and a Nth freeform surface term; step (S3), keeping all the Nth freeform surface obtained in step (S2) and some of the plurality of initial surfaces that does not corresponds to the Nth freeform surface unchanged, and selecting N as N=N+1; step (S4), repeating the step (S2) to step (S3) until all freeform surfaces of the off-axial optical system that need to be solved are obtained, and obtaining a before-iteration off-axial optical system; and step (S5), taking the before-iteration off-axial optical system obtained in step (S4) as a second initial system for an iteration process, and obtaining an after-iteration off-axial optical system by multiple iterations.
地址 Beijing CN