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Based on the cross-spectral density function of Gaussian Shell-Model and Huygens integral, the expression of partially coherent Airy beam was derived. The non-diffraction and acceleration characteristics of partially coherent Airy beam were theoretically studied and experimentally observed. The experimental observation was consistent with the theoretical prediction. Furthermore, the non-diffraction distance and the transversal acceleration decrease with decreasing coherent length.
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Keywords:
- fourier optics /
- holography /
- partially coherence /
- airy beam
[1] Berry M V, Balazs N L 1979 Am. J. Phys. 47 264
[2] Siviloglou G A, Broky J, Dogariu A, Christodoulides D N 2007 Phys. Rev. Lett. 99 213901
[3] Ido Kaminer, Rivka Bekenstein, Jonathan Nemirovsky, Mordechai Segev 2012 Phys. Rev. Lett. 108 163901
[4] John Broky, Georgios A. Siviloglou, Aristide Dogariu, Demetrios N 2008 Optics Express 16 12880
[5] Fan D D, Zhang Q A, Cheng Z M, Zheng W T, Wu F T 2012 Acta Phys. Sin. 61 164103 (in Chinese) [范丹丹, 张前安, 程治明, 郑维涛, 吴逢铁 2012 61 164103]
[6] Ren Z J, Wu Q, Zhou W D, Wu G Z, Shi Y L 2012 Acta Phys. Sin. 61 174207 (in Chinese) [任志君, 吴琼, 周卫东, 吴根柱, 施逸乐 2012 61 174207]
[7] Demetrios N, Christodoulides 2008 Nature Photonics 2 652
[8] Zheng Z, Zhang B F, Chen H, Ding J P, Wang H T 2011 Applied Optics 50 43
[9] Carvalho M I, Facão M 2010 Optics Express 18 21938
[10] Guo L, T Z L, Liang C Q, Tan Z L 2010 Chinese Optics Lett. 8 520
[11] Li J H, Lü B D 2011 Acta Phys. Sin. 60 074205 (in Chinese) [李晋红, 吕百达 2011 60 074205
[12] He X M, Lü B D 2011 Chin. Phys. B 20 094210
[13] Wu J 1990 Mod. Opt. 37 671
[14] Starikov A, Wolf E 1982 JOSA 72 923
[15] He Q S, Jari Turunen 1988 Optics Communications 14 245
[16] Morris J E, Mazilu M, Baumgartl J, Cižmár T, Dholakia K 2009 Optics Express 17 13236
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[1] Berry M V, Balazs N L 1979 Am. J. Phys. 47 264
[2] Siviloglou G A, Broky J, Dogariu A, Christodoulides D N 2007 Phys. Rev. Lett. 99 213901
[3] Ido Kaminer, Rivka Bekenstein, Jonathan Nemirovsky, Mordechai Segev 2012 Phys. Rev. Lett. 108 163901
[4] John Broky, Georgios A. Siviloglou, Aristide Dogariu, Demetrios N 2008 Optics Express 16 12880
[5] Fan D D, Zhang Q A, Cheng Z M, Zheng W T, Wu F T 2012 Acta Phys. Sin. 61 164103 (in Chinese) [范丹丹, 张前安, 程治明, 郑维涛, 吴逢铁 2012 61 164103]
[6] Ren Z J, Wu Q, Zhou W D, Wu G Z, Shi Y L 2012 Acta Phys. Sin. 61 174207 (in Chinese) [任志君, 吴琼, 周卫东, 吴根柱, 施逸乐 2012 61 174207]
[7] Demetrios N, Christodoulides 2008 Nature Photonics 2 652
[8] Zheng Z, Zhang B F, Chen H, Ding J P, Wang H T 2011 Applied Optics 50 43
[9] Carvalho M I, Facão M 2010 Optics Express 18 21938
[10] Guo L, T Z L, Liang C Q, Tan Z L 2010 Chinese Optics Lett. 8 520
[11] Li J H, Lü B D 2011 Acta Phys. Sin. 60 074205 (in Chinese) [李晋红, 吕百达 2011 60 074205
[12] He X M, Lü B D 2011 Chin. Phys. B 20 094210
[13] Wu J 1990 Mod. Opt. 37 671
[14] Starikov A, Wolf E 1982 JOSA 72 923
[15] He Q S, Jari Turunen 1988 Optics Communications 14 245
[16] Morris J E, Mazilu M, Baumgartl J, Cižmár T, Dholakia K 2009 Optics Express 17 13236
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