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Based on the angular spectrum theory, we establish a propagation model for vortex beam in reflection at an air-glass interface in the paraxial approximation, and investigate the cross polarization effects. When the horizontal polarization vortex beam is incident at different angles, the cross polarization component of the reflected beam shows a double-peak intensity distribution which is similar to the first-order Hermite-Gaussian mode. The distribution of horizontal polarization component is similar to that of the incident beam, and will show a double-peak intensity distribution which is perpendicular to the distribution of cross polarization components at the Brewster incidence. For the incident beam with arbitrary linear polarizations, we find that the polarized direction of cross polarization component is not perpendicular to the incident polarized direction, but exhibits an interesting rotational characteristic. The physical nature of this phenomenon is attributed to the different reflection coefficients of parallel and perpendicular polarizations. Experimental results agree well with our theoretical analysis.
[1] Fainman Y, Shamir J 1984 Appl. Opt. 23 3188
[2] Nasalski W 2001 Opt. Commun. 197 217
[3] [4] [5] Nasalski W 2003 J. Opt. A Pure Appl. Opt. 5 128
[6] Ambrus K K 2005 Opt. Commun. 253 28
[7] [8] [9] Aiello A, Merano M, Woerdman J P 2009 Opt. Lett. 34 1207
[10] [11] Onoda M, Murakami S, Nagaosa N 2004 Phys. Rev. Lett. 93 083901
[12] Bliokh K Y, Bliokh Y P 2006 Phys. Rev. Lett. 96 073903
[13] [14] Luo H L, Wen S C, Shu W X, Fan D Y 2010 Phys. Rev. A 81 053826
[15] [16] Kong L J, Qian S X, Ren Z C, Wang X L, Wang H T 2012 Phys. Rev. A 85 035804
[17] [18] Allen L, Beijersbergen M W, Spreeuw R J C Woerdman J P 1992 Phys. Rev. A 45 11
[19] [20] [21] Luo H L, Ling X H, Zhou X X, Shu W X, Wen S C, Fan D Y 2011 Phys. Rev. A 84 33801
[22] [23] Luo H L, Zhou X X, Shu W X, Wen S C, Fan D Y 2011 Phys. Rev. A 84 043806
[24] [25] Zhou X X, Luo H L, Wen S C 2012 Opt. Express 20 14
[26] Luo X, Zhou X X, Luo H L, Wen S C 2012 Acta Phys. Sin. 61 194202 (in Chinese) [罗幸, 周新星, 罗海陆, 文双春 2012 61 194202]
[27] [28] [29] Ding P F, Pu J X 2011 Acta Phys. Sin. 60 094204 (in Chinese) [丁攀峰, 蒲继雄 2011 60 094204]
[30] [31] Aharonov Y, Albert D Z, Vaidman L 1988 Phys. Rev. Lett. 60 1351
[32] [33] Ritchie N W M, Story J G, Hulet R G 1991 Phys. Rev. Lett. 66 1107
[34] [35] Hosten O, Kwiat P 2008 Science 319 787
[36] Qin Y, Li Y, He H, Gong Q 2009 Opt. Lett. 34 2551
[37] [38] [39] Kong L J, Wang X L, Li S M, Li Y N, Chen J, Gu B, Wang H T 2012 Appl. Phys. Lett. 100 071109
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[1] Fainman Y, Shamir J 1984 Appl. Opt. 23 3188
[2] Nasalski W 2001 Opt. Commun. 197 217
[3] [4] [5] Nasalski W 2003 J. Opt. A Pure Appl. Opt. 5 128
[6] Ambrus K K 2005 Opt. Commun. 253 28
[7] [8] [9] Aiello A, Merano M, Woerdman J P 2009 Opt. Lett. 34 1207
[10] [11] Onoda M, Murakami S, Nagaosa N 2004 Phys. Rev. Lett. 93 083901
[12] Bliokh K Y, Bliokh Y P 2006 Phys. Rev. Lett. 96 073903
[13] [14] Luo H L, Wen S C, Shu W X, Fan D Y 2010 Phys. Rev. A 81 053826
[15] [16] Kong L J, Qian S X, Ren Z C, Wang X L, Wang H T 2012 Phys. Rev. A 85 035804
[17] [18] Allen L, Beijersbergen M W, Spreeuw R J C Woerdman J P 1992 Phys. Rev. A 45 11
[19] [20] [21] Luo H L, Ling X H, Zhou X X, Shu W X, Wen S C, Fan D Y 2011 Phys. Rev. A 84 33801
[22] [23] Luo H L, Zhou X X, Shu W X, Wen S C, Fan D Y 2011 Phys. Rev. A 84 043806
[24] [25] Zhou X X, Luo H L, Wen S C 2012 Opt. Express 20 14
[26] Luo X, Zhou X X, Luo H L, Wen S C 2012 Acta Phys. Sin. 61 194202 (in Chinese) [罗幸, 周新星, 罗海陆, 文双春 2012 61 194202]
[27] [28] [29] Ding P F, Pu J X 2011 Acta Phys. Sin. 60 094204 (in Chinese) [丁攀峰, 蒲继雄 2011 60 094204]
[30] [31] Aharonov Y, Albert D Z, Vaidman L 1988 Phys. Rev. Lett. 60 1351
[32] [33] Ritchie N W M, Story J G, Hulet R G 1991 Phys. Rev. Lett. 66 1107
[34] [35] Hosten O, Kwiat P 2008 Science 319 787
[36] Qin Y, Li Y, He H, Gong Q 2009 Opt. Lett. 34 2551
[37] [38] [39] Kong L J, Wang X L, Li S M, Li Y N, Chen J, Gu B, Wang H T 2012 Appl. Phys. Lett. 100 071109
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