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The theoretical basis of coherent field imaging technique (also called the Fourier telescopy) is reconsidered. The limitations of the technique principle are analyzed by defining the measured object and deriving rigorously mathematical expressions. The reconstructed image of the technique ineluctably contains the gradient information about the object; as a result the technique cannot acquire the reflectivity of the object exactly. The computer simulation verifies the conclusion. Based on the conclusion, the reconstructed image of the technique can be evaluated and three-dimensional coherent field imaging technique may be developed.
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Keywords:
- coherent field imaging /
- Fourier telescopy /
- surface integral /
- reflectivity
[1] Sica L 1991 Appl. Opt. 30 206
[2] Holmes R B, Ma S, Bhowmik A, Greninger C 1996 J. Opt. Soc. Am. A 13 351
[3] Liu Y Y, L Q B, Zhang W X 2012 Acta Phys. Sin. 61 124201 (in Chinese)[刘扬阳, 吕群波, 张文喜 2012 物理学报 61 124201]
[4] Chun X X 2010 Chin. Phys. B 19 029201
[5] Li B, Tan Z W, Zhang X X 2011 Acta Phys. Sin. 60 084204 (in Chinese)[李博, 谭中伟, 张晓兴 2011 物理学报 60 084204]
[6] Ji X L, Pu Z C 2011 Chin. Phys. B 20 014207
[7] Chun X X, Liu Z J, Wu Y 2010 Chin. Phys. B 19 094201
[8] Cuellar E L, Stapp J, Cooper J 2005 Proc. SPIE 5896 58960D
[9] Luo X J, Ma C W, Zhang Y, Si Q D 2011 J. SCU Sci. Eng. 28 325 (in Chinese) [罗秀娟, 马彩文, 张羽, 司庆丹 2011 深圳大学学报理工版 28 325]
[10] Xiang L B, Zhang W X, Wu Z, L X Y, Li Y, Zhou Z S, Kong X X 2013 Acta Phys. Sin. 62 224201 (in Chinese) [相里斌, 张文喜, 伍洲, 吕笑宇, 李扬, 周志盛, 孔新新 2013 物理学报 62 224201]
[11] Cheng J X, Yu C H, Jin L 2004 Mathematical Analysis (Vol. 2) (Beijing: Higher Education Press) p305 (in Chinese) [陈纪修, 於崇华, 金路 2004 数学分析 第二版 (下册) (北京: 高等教育出版社) 第305页]
[12] Zhang W X, Xiang L B, Kong X X, Li Y, Wu Z, Zhou Z S 2013 Acta Phys. Sin. 62 164203 (in Chinese) [张文喜, 相里斌, 孔新新, 李扬, 伍洲, 周志胜 2013 物理学报 62 164203]
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[1] Sica L 1991 Appl. Opt. 30 206
[2] Holmes R B, Ma S, Bhowmik A, Greninger C 1996 J. Opt. Soc. Am. A 13 351
[3] Liu Y Y, L Q B, Zhang W X 2012 Acta Phys. Sin. 61 124201 (in Chinese)[刘扬阳, 吕群波, 张文喜 2012 物理学报 61 124201]
[4] Chun X X 2010 Chin. Phys. B 19 029201
[5] Li B, Tan Z W, Zhang X X 2011 Acta Phys. Sin. 60 084204 (in Chinese)[李博, 谭中伟, 张晓兴 2011 物理学报 60 084204]
[6] Ji X L, Pu Z C 2011 Chin. Phys. B 20 014207
[7] Chun X X, Liu Z J, Wu Y 2010 Chin. Phys. B 19 094201
[8] Cuellar E L, Stapp J, Cooper J 2005 Proc. SPIE 5896 58960D
[9] Luo X J, Ma C W, Zhang Y, Si Q D 2011 J. SCU Sci. Eng. 28 325 (in Chinese) [罗秀娟, 马彩文, 张羽, 司庆丹 2011 深圳大学学报理工版 28 325]
[10] Xiang L B, Zhang W X, Wu Z, L X Y, Li Y, Zhou Z S, Kong X X 2013 Acta Phys. Sin. 62 224201 (in Chinese) [相里斌, 张文喜, 伍洲, 吕笑宇, 李扬, 周志盛, 孔新新 2013 物理学报 62 224201]
[11] Cheng J X, Yu C H, Jin L 2004 Mathematical Analysis (Vol. 2) (Beijing: Higher Education Press) p305 (in Chinese) [陈纪修, 於崇华, 金路 2004 数学分析 第二版 (下册) (北京: 高等教育出版社) 第305页]
[12] Zhang W X, Xiang L B, Kong X X, Li Y, Wu Z, Zhou Z S 2013 Acta Phys. Sin. 62 164203 (in Chinese) [张文喜, 相里斌, 孔新新, 李扬, 伍洲, 周志胜 2013 物理学报 62 164203]
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