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				Correlated imaging, or ghost imaging, has aroused the interest of researchers in recent years. Optical phased array (OPA) as a high-integration, low-cost, and high-speed light illuminating device is suitable for application in correlated imaging. Here we use a two-dimensional 4 × 4 silicon integrated OPA in which each channel has an independently tunable phase shifter. In this work, the new features of correlated imaging given by periodic pseudo-thermal light field of OPA are demonstrated. The correlated imaging with biperiodic light field of OPA under different conditions including darkroom, thermal noise and phase perturbation without splitter is reported; the image stitching based on biperiodic light field of OPA is also presented. This work is of significance in promoting the progress of imaging technology and expanding the application of OPA.[1] 刘雪峰, 姚旭日, 李明飞, 俞文凯, 陈希浩, 孙志斌, 吴令安, 翟光杰 2013 物理学报 62 184205  Google Scholar Google ScholarLiu X F, Yao X R, Li M F, Yu W K, Chen X H, Sun Z B, Wu L A, Zhai G J 2013 Acta Phys. Sin. 62 184205  Google Scholar Google Scholar[2] 白旭, 李永强, 赵生妹 2013 物理学报 62 044209  Google Scholar Google ScholarBai X, Li Y Q, Zhao S M 2013 Acta Phys. Sin. 62 044209  Google Scholar Google Scholar[3] 李龙珍, 姚旭日, 刘雪峰, 俞文凯, 翟光杰 2014 物理学报 63 224201  Google Scholar Google ScholarLi L Z, Yao X R, Liu X F, Yu W K, Zhai G J 2014 Acta Phys. Sin. 63 224201  Google Scholar Google Scholar[4] Zhang Y, Shi J, Li H, Zeng G 2014 Chin. Opt. Lett. 12 011102  Google Scholar Google Scholar[5] Li Q, Duan Z, Lin H, Gao S, Sun S, Liu W 2016 Chin. Opt. Lett. 14 111103  Google Scholar Google Scholar[6] Wang Y, Liu Y, Suo J, Situ G, Qiao C, Dai Q 2017 Sci. Rep. 7 1  Google Scholar Google Scholar[7] Bromberg Y, Katz O, Silberberg Y 2009 Phys. Re. A 79 053840  Google Scholar Google Scholar[8] Radwell N, Mitchell K J, Gibson G M, Edgar M P, Bowman R, Padgett M J 2014 Optica 1 285  Google Scholar Google Scholar[9] Edgar M P, Gibson G M, Bowman R W, Sun B, Radwell N, Mitchell K J, Welsh S S, Padgett M J 2015 Sci. Rep. 5 1  Google Scholar Google Scholar[10] Sun M-J, Edgar M P, Phillips D B, Gibson G M, Padgett M J 2016 Opt. Express 24 10476  Google Scholar Google Scholar[11] Wang F, Wang H, Wang H, Li G, Situ G 2019 Opt. Express 27 25560  Google Scholar Google Scholar[12] Rizvi S, Cao J, Zhang K, Hao Q 2020 Sci. Rep. 10 1  Google Scholar Google Scholar[13] Sun M J, Zhang J M 2019 Sensors 19 732  Google Scholar Google Scholar[14] Aflatouni F, Abiri B, Rekhi A, Hajimiri A 2015 Opt. Express 23 21012  Google Scholar Google Scholar[15] Dong P, Chen L, Chen Y-k 2012 Opt. Express 20 6163  Google Scholar Google Scholar[16] Doylend J K, Heck M, Bovington J T, Peters J D, Coldren L, Bowers J 2011 Opt. Express 19 21595  Google Scholar Google Scholar[17] Komljenovic T, Helkey R, Coldren L, Bowers J E 2017 Opt. Express 25 2511  Google Scholar Google Scholar[18] Yaacobi A, Sun J, Moresco M, Leake G, Coolbaugh D, Watts M R 2014 Opt. Lett. 39 4575  Google Scholar Google Scholar[19] Poulton C V, Byrd M J, Raval M, Su Z, Li N, Timurdogan E, Coolbaugh D, Vermeulen D, Watts M R 2017 Opt. Lett. 42 21  Google Scholar Google Scholar[20] Miller S A, Chang Y C, Phare C T, Shin M C, Zadka M, Roberts S P, Stern B, Ji X, Mohanty A, Gordillo O A J 2020 Optica 7 3  Google Scholar Google Scholar[21] Kang G, Kim S H, You J B, Lee D S, Yoon H, Ha Y G, Kim J H, Yoo D E, Lee D W, Youn C H 2019 IEEE Photon. Technol. Lett. 31 1685  Google Scholar Google Scholar[22] Poulton C V, Yaacobi A, Cole D B, Byrd M J, Raval M, Vermeulen D, Watts M R 2017 Opt. Lett. 42 4091  Google Scholar Google Scholar[23] Poulton C V, Byrd M J, Russo P, Timurdogan E, Khandaker M, Vermeulen D, Watts M R 2019 IEEE Journal of Selected Topics in Quantum Electronics 25 1  Google Scholar Google Scholar[24] Kim T, Bhargava P, Poulton C V, Notaros J, Yaacobi A, Timurdogan E, Baiocco C, Fahrenkopf N, Kruger S, Ngai T 2019 IEEE J. Solid-State Circuits 54 3061  Google Scholar Google Scholar[25] Sun J, Timurdogan E, Yaacobi A, Hosseini E S, Watts M R 2013 Nature 493 195  Google Scholar Google Scholar[26] Raval M, Yaacobi A, Watts M R 2018 Opt. Lett. 43 3678  Google Scholar Google Scholar[27] Rhee H W, You J B, Yoon H, Han K, Kim M, Lee B G, Kim S C, Park H H 2020 IEEE Photon. Technol. Lett. 32 803  Google Scholar Google Scholar[28] Magden E S, Li N, Raval M, Poulton C V, Ruocco A, Singh N, Vermeulen D, Ippen E P, Kolodziejski L A, Watts M R 2018 Nat. Commun. 9 1  Google Scholar Google Scholar[29] Ou L H, Kuang L M 2007 Journal of Physics B:Atomic, Molecular and Optical Physics 40 1833  Google Scholar Google Scholar[30] Kohno Y, Komatsu K, Tang R, Ozeki Y, Nakano Y, Tanemura T 2019 Opt. Express 27 3817  Google Scholar Google Scholar[31] Komatsu K, Ozeki Y, Nakano Y, Tanemura T Optical Fiber Communication Conference pTh3H.4 [32] van Acoleyen K, Bogaerts W, Jágerská J, Le Thomas N, Houdré R, Baets R 2009 Opt. Lett. 34 1477  Google Scholar Google Scholar[33] Kwong D, Hosseini A, Covey J, Zhang Y, Xu X, Subbaraman H, Chen R T 2014 Opt. Lett. 39 941  Google Scholar Google Scholar[34] Hulme J, Doylend J, Heck M, Peters J, Davenport M, Bovington J, Coldren L, Bowers J 2015 Opt. Express 23 5861  Google Scholar Google Scholar[35] Zhang Y, Ling YC, Zhang K, Gentry C, Sadighi D, Whaley G, Colosimo J, Suni P, Yoo S B 2019 Opt. Express 27 1929  Google Scholar Google Scholar[36] Miller S A, Phare C T, Chang Y C, Ji X, Gordillo O A J, Mohanty A, Roberts S P, Shin M C, Stern B, Zadka M CLEO: QELS_Fundamental Science pJTh5C.2 [37] 石顺祥, 王学恩, 马琳 2014 物理光学与应用光学 (西安: 西安电子科技大学出版社) 第151—153页 Shi S X, Wang X E, Ma L 2014 Physical Optics and Applied Optics (Xi’an: Xidian University Press) pp151–153 
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[1] 刘雪峰, 姚旭日, 李明飞, 俞文凯, 陈希浩, 孙志斌, 吴令安, 翟光杰 2013 物理学报 62 184205  Google Scholar Google ScholarLiu X F, Yao X R, Li M F, Yu W K, Chen X H, Sun Z B, Wu L A, Zhai G J 2013 Acta Phys. Sin. 62 184205  Google Scholar Google Scholar[2] 白旭, 李永强, 赵生妹 2013 物理学报 62 044209  Google Scholar Google ScholarBai X, Li Y Q, Zhao S M 2013 Acta Phys. Sin. 62 044209  Google Scholar Google Scholar[3] 李龙珍, 姚旭日, 刘雪峰, 俞文凯, 翟光杰 2014 物理学报 63 224201  Google Scholar Google ScholarLi L Z, Yao X R, Liu X F, Yu W K, Zhai G J 2014 Acta Phys. Sin. 63 224201  Google Scholar Google Scholar[4] Zhang Y, Shi J, Li H, Zeng G 2014 Chin. Opt. Lett. 12 011102  Google Scholar Google Scholar[5] Li Q, Duan Z, Lin H, Gao S, Sun S, Liu W 2016 Chin. Opt. Lett. 14 111103  Google Scholar Google Scholar[6] Wang Y, Liu Y, Suo J, Situ G, Qiao C, Dai Q 2017 Sci. Rep. 7 1  Google Scholar Google Scholar[7] Bromberg Y, Katz O, Silberberg Y 2009 Phys. Re. A 79 053840  Google Scholar Google Scholar[8] Radwell N, Mitchell K J, Gibson G M, Edgar M P, Bowman R, Padgett M J 2014 Optica 1 285  Google Scholar Google Scholar[9] Edgar M P, Gibson G M, Bowman R W, Sun B, Radwell N, Mitchell K J, Welsh S S, Padgett M J 2015 Sci. Rep. 5 1  Google Scholar Google Scholar[10] Sun M-J, Edgar M P, Phillips D B, Gibson G M, Padgett M J 2016 Opt. Express 24 10476  Google Scholar Google Scholar[11] Wang F, Wang H, Wang H, Li G, Situ G 2019 Opt. Express 27 25560  Google Scholar Google Scholar[12] Rizvi S, Cao J, Zhang K, Hao Q 2020 Sci. Rep. 10 1  Google Scholar Google Scholar[13] Sun M J, Zhang J M 2019 Sensors 19 732  Google Scholar Google Scholar[14] Aflatouni F, Abiri B, Rekhi A, Hajimiri A 2015 Opt. Express 23 21012  Google Scholar Google Scholar[15] Dong P, Chen L, Chen Y-k 2012 Opt. Express 20 6163  Google Scholar Google Scholar[16] Doylend J K, Heck M, Bovington J T, Peters J D, Coldren L, Bowers J 2011 Opt. Express 19 21595  Google Scholar Google Scholar[17] Komljenovic T, Helkey R, Coldren L, Bowers J E 2017 Opt. Express 25 2511  Google Scholar Google Scholar[18] Yaacobi A, Sun J, Moresco M, Leake G, Coolbaugh D, Watts M R 2014 Opt. Lett. 39 4575  Google Scholar Google Scholar[19] Poulton C V, Byrd M J, Raval M, Su Z, Li N, Timurdogan E, Coolbaugh D, Vermeulen D, Watts M R 2017 Opt. Lett. 42 21  Google Scholar Google Scholar[20] Miller S A, Chang Y C, Phare C T, Shin M C, Zadka M, Roberts S P, Stern B, Ji X, Mohanty A, Gordillo O A J 2020 Optica 7 3  Google Scholar Google Scholar[21] Kang G, Kim S H, You J B, Lee D S, Yoon H, Ha Y G, Kim J H, Yoo D E, Lee D W, Youn C H 2019 IEEE Photon. Technol. Lett. 31 1685  Google Scholar Google Scholar[22] Poulton C V, Yaacobi A, Cole D B, Byrd M J, Raval M, Vermeulen D, Watts M R 2017 Opt. Lett. 42 4091  Google Scholar Google Scholar[23] Poulton C V, Byrd M J, Russo P, Timurdogan E, Khandaker M, Vermeulen D, Watts M R 2019 IEEE Journal of Selected Topics in Quantum Electronics 25 1  Google Scholar Google Scholar[24] Kim T, Bhargava P, Poulton C V, Notaros J, Yaacobi A, Timurdogan E, Baiocco C, Fahrenkopf N, Kruger S, Ngai T 2019 IEEE J. Solid-State Circuits 54 3061  Google Scholar Google Scholar[25] Sun J, Timurdogan E, Yaacobi A, Hosseini E S, Watts M R 2013 Nature 493 195  Google Scholar Google Scholar[26] Raval M, Yaacobi A, Watts M R 2018 Opt. Lett. 43 3678  Google Scholar Google Scholar[27] Rhee H W, You J B, Yoon H, Han K, Kim M, Lee B G, Kim S C, Park H H 2020 IEEE Photon. Technol. Lett. 32 803  Google Scholar Google Scholar[28] Magden E S, Li N, Raval M, Poulton C V, Ruocco A, Singh N, Vermeulen D, Ippen E P, Kolodziejski L A, Watts M R 2018 Nat. Commun. 9 1  Google Scholar Google Scholar[29] Ou L H, Kuang L M 2007 Journal of Physics B:Atomic, Molecular and Optical Physics 40 1833  Google Scholar Google Scholar[30] Kohno Y, Komatsu K, Tang R, Ozeki Y, Nakano Y, Tanemura T 2019 Opt. Express 27 3817  Google Scholar Google Scholar[31] Komatsu K, Ozeki Y, Nakano Y, Tanemura T Optical Fiber Communication Conference pTh3H.4 [32] van Acoleyen K, Bogaerts W, Jágerská J, Le Thomas N, Houdré R, Baets R 2009 Opt. Lett. 34 1477  Google Scholar Google Scholar[33] Kwong D, Hosseini A, Covey J, Zhang Y, Xu X, Subbaraman H, Chen R T 2014 Opt. Lett. 39 941  Google Scholar Google Scholar[34] Hulme J, Doylend J, Heck M, Peters J, Davenport M, Bovington J, Coldren L, Bowers J 2015 Opt. Express 23 5861  Google Scholar Google Scholar[35] Zhang Y, Ling YC, Zhang K, Gentry C, Sadighi D, Whaley G, Colosimo J, Suni P, Yoo S B 2019 Opt. Express 27 1929  Google Scholar Google Scholar[36] Miller S A, Phare C T, Chang Y C, Ji X, Gordillo O A J, Mohanty A, Roberts S P, Shin M C, Stern B, Zadka M CLEO: QELS_Fundamental Science pJTh5C.2 [37] 石顺祥, 王学恩, 马琳 2014 物理光学与应用光学 (西安: 西安电子科技大学出版社) 第151—153页 Shi S X, Wang X E, Ma L 2014 Physical Optics and Applied Optics (Xi’an: Xidian University Press) pp151–153 
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