Chinese Optics, Volume. 17, Issue 5, 1183(2024)
An MTF calculation model under the influence of ghost images
Fig. 3. MTF curves calculated by two methods under four types of ghost image paths
Fig. 4. MTF curves calculated by two methods under ghost image path 3_2
Fig. 5. Schematic diagram of illuminance distribution of ghost image beams on image plane under 3_2 path calculated by non-sequential ray tracing
Fig. 6. MTF curves calculated by two methods under 6_1 ghost image path
Fig. 7. Schematic diagram of illumination distribution of ghost image on image plane under 6_1 path calculated by non-sequential ray tracing
Table 1. Calculation expressions for
E 0, where the blue lines in the schematic diagram of the ghost image beam represent the ghost image rays and black ones represent the imaging raysView tableView in ArticleTable 1. Calculation expressions for
E 0, where the blue lines in the schematic diagram of the ghost image beam represent the ghost image rays and black ones represent the imaging rays序号 鬼像光束示意图 E0表达式 1 $ {E_0} = \dfrac{{{n_k}[{h_k}{u_{kg}} - {h_{kg}}{u_k}]}}{H} $ 2 $ {E_0} = \dfrac{{{n_k}[{h_k}{u_{kg}} + {h_{kg}}{u_k}]}}{H} $ 3 $ {E_0} = \dfrac{{{n_k}[{h_{kg}}{u_k} - {h_k}{u_{kg}}]}}{H} $
Table 2. Transmission matrices for all surfaces
View tableView in ArticleTable 2. Transmission matrices for all surfaces
透射矩阵 反射矩阵 前表面 $ {{\boldsymbol{M}}_{{1}}}{{ = }}\left[ {\begin{array}{*{20}{c}} {{1}}&{{0}} \\ {{{ - }}\dfrac{{{{n' - 1}}}}{{{{n'}}{{{r}}_{{1}}}}}}&{\dfrac{{{1}}}{{{{n'}}}}} \end{array}} \right] $ $ {{\boldsymbol{M}}_{{{11}}}}{{ = }}\left[ {\begin{array}{*{20}{c}} {{1}}&{{0}} \\ {{{ - }}\dfrac{{{2}}}{{{{{r}}_{{1}}}}}}&{{{ - 1}}} \end{array}} \right] $ 后表面 $ {{\boldsymbol{M}}_{{2}}}{{ = }}\left[ {\begin{array}{*{20}{c}} {{1}}&{{0}} \\ {{{ - }}\dfrac{{{{1 - n'}}}}{{{{{r}}_{{2}}}}}}&{{{n'}}} \end{array}} \right] $ $ {{\boldsymbol{M}}_{{{22}}}}{{ = }}\left[ {\begin{array}{*{20}{c}} {{1}}&{{0}} \\ {{{ - }}\dfrac{{{2}}}{{{{{r}}_{{2}}}}}}&{{{ - 1}}} \end{array}} \right] $
Table 3. Triplet lens parameter data (Unit: mm)
View tableView in ArticleTable 3. Triplet lens parameter data (Unit: mm)
表面 曲率半径 厚度 材料 1 3.285 1 N-LASF31A 2 −30.01 0.142 3 −6.769 0.9 SF15 4 2.489 0.673 5 6.31 1 N-LAK21 6 −4.889 10.6713
Table 4. The stray light rates and MTF values under the influence of ghost image in all paths
View tableView in ArticleTable 4. The stray light rates and MTF values under the influence of ghost image in all paths
路径 杂光率 $ MTF' $ $ MTF $ 2_1 0.058858 $ MTF'=0.944\;413MTF $ 3_2 0.877073 $ MTF'=0.532\;744MTF $ 3_1 0.029316 $ MTF'=0.971\;518MTF $ 4_3 0.008263 $ MTF'=0.991\;804MTF $ 4_2 0.005352 $ MTF'=0.994\;676MTF $ 4_1 0.061024 $ MTF'=0.942\;485MTF $ 5_4 0.119049 $ MTF'=0.893\;615MTF $ 5_3 0.006792 $ MTF'=0.993\;252MTF $ 5_2 0.004984 $ MTF'=0.995\;040MTF $ 5_1 0.019154 $ MTF'=0.981\;20MTF $ 6_5 0.067233 $ MTF'=0.937\;001MTF $ 6_4 0.064353 $ MTF'=0.939\;534MTF $ 6_3 0.037417 $ MTF'=0.963\;936MTF $ 6_2 0.018945 $ MTF'=0.981\;406MTF $ 6_1 0.044890 $ MT{F}'=0.957\;038MTF $
Table 5. MSE values under all ghost image paths
View tableView in ArticleTable 5. MSE values under all ghost image paths
路径 MSE值 2_1 1.253505 ×10−43_2 1.826590 ×10−23_1 3.627304 ×10−54_3 2.866007 ×10−64_2 2.798693 ×10−54_1 7.217275 ×10−45_4 1.933488 ×10−45_3 1.222153 ×10−55_2 9.061267 ×10−65_1 5.363379 ×10−56_5 4.459207 ×10−46_4 1.627363 ×10−46_3 4.774974 ×10−56_2 1.692015 ×10−56_1 4.937398 ×10−2
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Peng-yi XIAO, Ming-xin LIU, Lei YAN, Ming-yu HU, Xin ZHANG. An MTF calculation model under the influence of ghost images[J]. Chinese Optics, 2024, 17(5): 1183
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Received: Jul. 21, 2023
Accepted: --
Published Online: Dec. 31, 2024
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