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Based on the effect of the polarization state of polarized light and the degree of polarization on the second-order correlation function, the influence of light polarization on visibility and signal-to-noise ratio (SNR) is investigated by use of the statistical optics theory. It is shown that only the polarization degree has effect on thermal light correlated imaging. The visibility of correlated imaging is a quadratic function of the polarization degree. An increase in the polarization degree leads to an increase in the SNR of conventional correlated imaging, but the SNR obtained by substracting the background and using the second-order coherent degree is independent of polarization degree.
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Keywords:
- correlated imaging /
- polarization /
- visibility /
- signal-to-noise ratio
[1] Klyshko D N 1988 Sov. Phys. JETP 67 1131
[2] Pittman T B, Shih Y H, Strekalov D V, Sergienko A V 1995 Phys. Rev. A 52 R3429
[3] Abouraddy A F, Saleh B E A, Sergienko A V, Teich M C 2001 Phys. Rev. Lett. 87 123602
[4] Bennink R S, Benley S J, Boyd R W 2002 Phys. Rev. Lett. 89 113601
[5] Gatti A, Brambilla E, Bache M, Lugiato L A 2004 Phys. Rev. A 70 013802
[6] Cheng J, Han S S 2004 Phys. Rev. Lett. 92 093903
[7] Valencia A, Scarcelli G, D’Angelo M, Shih Y H 2005 Phys. Rev. Lett. 94 063601
[8] Cao D Z, Xiong J, Wang K G 2005 Phys. Rev. A 71 013801
[9] Zhang D, Zhai Y H, Wu L A, Chen X H 2005 Opt. Lett. 30 2354
[10] Cheng J, Han S S, Yan Y J 2006 Chin. Phys. 15 2002
[11] Xiong J, Li H G, Sun X J, Lin L F, Wang K G 2006 Chin. Phys. 15 2942
[12] Li H G, Zhang Y T, Cao D Z, Xiong J, Wang K G 2008 Chin. Phys. B 17 4510
[13] Liu H C, Guan D S, Li L, Zhang S H, Xiong J 2010 Opt. Comm. 283 405
[14] Scarcelli G, Berardi V, Shih Y H 2006 Appl. Phys. Lett. 88 061106
[15] Glauber R J 1963 Phys. Rev. 130 2529
[16] Glauber R J 1963 Phys. Rev. 131 2766
[17] Mandel L, Wolf E 1995 Optical Coherence and Quantum Optics (Cambridge: Cambridge University Press) p36—39
[18] Teng S Y, Cheng C F, Liu M, Liu L R, Xu Z Z 2003 Acta Phys. Sin. 52 316 (in Chinese) [滕树云、程传福、刘 曼、刘立人、徐至展 2003 52 316]
[19] Liu P S 1987 Fundamentals of Statistical Optics of Speckles (Beijing: Science Press ) p73—75 (in Chinese) [刘培森 1987 散斑统计光学基础 (北京:科学出版社) 第73—第75页]
[20] Basano L, Ottonello P 2007 Opt. Express 15 12386
[21] Chan K W C, O’Sullivan M N, Boyd R W 2009 Opt. Lett. 34 3343
[22] Ferri F, Magatti D, Sala V G, Gatti A 2008 Appl. Phys. Lett. 92 261109
[23] Chan K W C, O’Sullivan M N, Boyd R W 2010 Opt. Express 18 5562
[24] Goodman J W 2000 Statistical Optics (New York: Wiley) p121—124
[25] Song H S, Cheng C F, Teng S Y, Liu M, Liu G Y, Zhang N Y 2009 Acta Phys. Sin. 58 7654 (in Chinese) [宋洪胜、程传福、滕树云、刘 曼、刘桂媛、张宁玉 2009 58 7654]
[26] Agafonov I N, Chekhova M V, Iskhakov T S, Wu L A 2009 J. Mod. Opt. 56 422
[27] Barlow R J 1989 Statistics: A Guide to the Use of Statistical Methods in the Physical Sciences (Chichester: Wiley) p56—57
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[1] Klyshko D N 1988 Sov. Phys. JETP 67 1131
[2] Pittman T B, Shih Y H, Strekalov D V, Sergienko A V 1995 Phys. Rev. A 52 R3429
[3] Abouraddy A F, Saleh B E A, Sergienko A V, Teich M C 2001 Phys. Rev. Lett. 87 123602
[4] Bennink R S, Benley S J, Boyd R W 2002 Phys. Rev. Lett. 89 113601
[5] Gatti A, Brambilla E, Bache M, Lugiato L A 2004 Phys. Rev. A 70 013802
[6] Cheng J, Han S S 2004 Phys. Rev. Lett. 92 093903
[7] Valencia A, Scarcelli G, D’Angelo M, Shih Y H 2005 Phys. Rev. Lett. 94 063601
[8] Cao D Z, Xiong J, Wang K G 2005 Phys. Rev. A 71 013801
[9] Zhang D, Zhai Y H, Wu L A, Chen X H 2005 Opt. Lett. 30 2354
[10] Cheng J, Han S S, Yan Y J 2006 Chin. Phys. 15 2002
[11] Xiong J, Li H G, Sun X J, Lin L F, Wang K G 2006 Chin. Phys. 15 2942
[12] Li H G, Zhang Y T, Cao D Z, Xiong J, Wang K G 2008 Chin. Phys. B 17 4510
[13] Liu H C, Guan D S, Li L, Zhang S H, Xiong J 2010 Opt. Comm. 283 405
[14] Scarcelli G, Berardi V, Shih Y H 2006 Appl. Phys. Lett. 88 061106
[15] Glauber R J 1963 Phys. Rev. 130 2529
[16] Glauber R J 1963 Phys. Rev. 131 2766
[17] Mandel L, Wolf E 1995 Optical Coherence and Quantum Optics (Cambridge: Cambridge University Press) p36—39
[18] Teng S Y, Cheng C F, Liu M, Liu L R, Xu Z Z 2003 Acta Phys. Sin. 52 316 (in Chinese) [滕树云、程传福、刘 曼、刘立人、徐至展 2003 52 316]
[19] Liu P S 1987 Fundamentals of Statistical Optics of Speckles (Beijing: Science Press ) p73—75 (in Chinese) [刘培森 1987 散斑统计光学基础 (北京:科学出版社) 第73—第75页]
[20] Basano L, Ottonello P 2007 Opt. Express 15 12386
[21] Chan K W C, O’Sullivan M N, Boyd R W 2009 Opt. Lett. 34 3343
[22] Ferri F, Magatti D, Sala V G, Gatti A 2008 Appl. Phys. Lett. 92 261109
[23] Chan K W C, O’Sullivan M N, Boyd R W 2010 Opt. Express 18 5562
[24] Goodman J W 2000 Statistical Optics (New York: Wiley) p121—124
[25] Song H S, Cheng C F, Teng S Y, Liu M, Liu G Y, Zhang N Y 2009 Acta Phys. Sin. 58 7654 (in Chinese) [宋洪胜、程传福、滕树云、刘 曼、刘桂媛、张宁玉 2009 58 7654]
[26] Agafonov I N, Chekhova M V, Iskhakov T S, Wu L A 2009 J. Mod. Opt. 56 422
[27] Barlow R J 1989 Statistics: A Guide to the Use of Statistical Methods in the Physical Sciences (Chichester: Wiley) p56—57
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