使用MATLAB程式設計三片透鏡色差校正與優化

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/85997

Title:	使用MATLAB程式設計三片透鏡色差校正與優化
Authors:	梁孝萱;Liang, Siao-Suang
Contributors:	光電科學與工程學系
Keywords:	三片透鏡;複消色差;超消色差;阻尼最小二乘法;triplet lens;apochromat;super-achromat;damping least square method
Date:	2021-08-17
Issue Date:	2021-12-07 11:51:12 (UTC+8)
Publisher:	國立中央大學
Abstract:	本論文研究目的為在眾多玻璃材料組合中選取色差較小的三片透鏡組合，首先做薄透鏡組的設計，針對三段波長做校正，分別為 F-line (0.48613 μm)、d-line(0.58756 μm)、C-line(0.65627 μm)，固定總焦距為10 mm，消除F-line與C-line之間的色差(???)以及d-line與C-line之間的色差(???)，為了消除殘留色差，新增兩個波長分別為A-line(0.53685 μm)、B-line(0.62192 μm)其兩段波長之間的色差我們稱為???，藉由挑選???值越小的三片透鏡組合可獲得較小的色差面積，此方法我們稱為視圖法，透過三片透鏡材料之??????圖以及????P??圖能夠快速地尋找三片透鏡色差較小之組合。本文根據視圖法所選之三片透鏡組合進行透鏡加厚，並且固定曲率因子讓加厚之後的焦距維持在10 mm，透鏡加厚之後的真實光線色差面積會與薄透鏡之色差面積有誤差，所以我們將使用一種優化方法-阻尼最小二乘法來修正這個誤差，使厚透鏡之色差面積數量級與薄透鏡之色差面積數量級相近，並且將Kingslake所設計之三片鏡組作為設計目標與其進行比較。;The purpose of this research is to choosing triplet lens glass materials with smaller chromatic aberration, we design the thin lens first, corrected F-line(0.48613 μm)、d-line(0.58756 μm)、C-line(0.65627 μm) and fixed focal length at 10 mm, so we can obtain the primary spectrum(???) and secondary spectrum(???) are equal to zero. Then we set two new wavelengths, A-line(0.53685 μm) and B-line(0.62192 μm), the chromatic aberration of these two wavelengths is ???, we obtain smaller chromatic aberration by choosing smaller value of ???, the method we called illustration method, compare the figure of ???P?? and the figure of ????P?? we can quickly find the smaller chromatic aberration combination of the triplet lens glass materials. After using the illustration method to design the thin lens, we design the thick lens, put thickness in lens and fixed focal length at 10 mm become thick lens. The chromatic aberration of thin lens and real ray thick lens are different, so we use an optimization code to corrected which is based on damping least squares method to minimize the real ray chromatic aberration.
Appears in Collections:	[Graduate Institute of Optics and Photonics] Electronic Thesis & Dissertation

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