使用Matlab撰寫兩片稜鏡及三片稜鏡消色差 優化程式與三片透鏡組程式設計 ; Two optimized programs for choosing doublet, triplet prisms to correct chromatic aberration and triplet lenses design by using Matlab software.

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题名:	使用Matlab撰寫兩片稜鏡及三片稜鏡消色差優化程式與三片透鏡組程式設計;Two optimized programs for choosing doublet, triplet prisms to correct chromatic aberration and triplet lenses design by using Matlab software.
作者:	程威証;Wei-cheng Cheng
贡献者:	光電科學研究所
关键词:	二次色散;一次色散;三片透鏡組;稜鏡消色散;prism;chromatic aberration;triplet lenses
日期:	2011-07-20
上传时间:	2012-01-05 14:35:16 (UTC+8)
摘要:	使用Matlab撰寫稜鏡消色差優化程式與三片透鏡組程式設計，其中稜鏡消色差優化程式包含兩片及三片稜鏡。兩片稜鏡的挑選是從固定偏向角及消除一次色散的條件下，得到薄稜鏡的頂角，再挑選二次色散值最小值，即兩片材質的相對部分色散值相差越小、V-number相差越大越好，最後利用優化方法修正真實稜鏡的誤差。三片稜鏡挑選是在固定偏向角及消除一次色散、二次色散的條件下，得到薄稜鏡的頂角，由自訂第四、第五段波長的偏向角差值選取色散最小值，最後利用優化方法修正真實稜鏡的誤差。三片透鏡組程式設計是以Kingslake的設計為規格，利用固定焦距及消除三階像差得到薄透鏡初階設計，並且用光扇圖面積來進行鏡組加厚後的優化，從光扇圖面積曲線圖來選擇適當的形狀因子，使其滿足設計規格。 The study supposes to design two optimized programs for choosing doublet, triplet prisms to correct chromatic aberration and triplet lenses design by using Matlab software. When choosing the glasses for doublet prisms, fixing the deviation angle of d-line and eliminating the primary color with the paraxial condition that utilized to solve the two prism vertex angles are necessary. In order to reduce the secondary spectra, the relative partial dispersions of two glasses that we selected should be much close to each other, and their Abbe numbers should be much more different. Finally, the chromatic aberration for real ray tracing can also be corrected by optimized program. For choosing the triplet prisms, we follow the same steps when choosing the doublet prisms. In order to reduce the residual spectra, it is better for finding the smaller specific value of the fourth and the fifth spectrum. Finally, the chromatic aberration for real ray tracing can be The other is the Taylor type triplet lenses design and the specifications of as described by Kingslake. Three powers of the thin lenses and two air spaces that between the three lenses are determined by the specified values of equivalent power, Petzval sum, longitudinal chromatic aberration, and the lateral chromatic aberration. The three lens shape-factors of the triplet lenses are determined by desired values of the three Seidel sums that related to the coma, astigmatism, and the spherical aberration. Finally, after selecting suitable thicknesses, and calculating the air spaces to maintain the thin-lens separations, the area of ray fan is used to optimize the lens shape- factors.
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