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In this paper, we study the spin Hall effect (SHE) of light in a multilayer-medium. By taking three-layer medium for example, the three-dimensional transmission model of beams passing through a prim-air-prim barrier is build. The various factors in SHE of light, such as thickness of the air gap, refractive index gradient, and incidence angle are investigated. For a certain circularly polarized component, the transverse shift can be modulated by Changing the refractive index gradient associated with the two prisms: whether the transverse shift of reflection and transmission fields is positive or negative depends on the refractive index gradient. Compared with the SHE in the two-layer medium, the SHE in the Gaussian beam refraction can be evidently enhanced via three-layer medium. Based on the theory of SHE of light,the theoretical basis for regulating and enhancing optical spin Hall effect is obtained.
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Keywords:
- spin Hall effect of light /
- traverse shift /
- refractive index gradient
[1] Kato Y K, Myers R C A C 2004 Science 306 1910
[2] Onoda M, Murakami S, Nagaosa N 2004 Phys. Rev. Lett. 93 083901
[3] Bliokh K Y, Bliokh Y P 2006 Phys. Rev. Lett. 96 073903
[4] Bliokh K Y, Niv A, Kleiner V, Hasman E 2008 Nature Photonics 2 748
[5] Hosten O, Kwiat P 2008 Science 319 787
[6] Luo H L, Shu W X, Li F, Ren Z Z 2007 Phys. Rev. E 75 026601
[7] Luo H L, Ren Z Z, Shu W X, Wen S C 2008 Phys. Rev. A 77 023812
[8] Luo H L, Wen S C, Shu W X, Tang Z X, Zou Y H, Fan D Y 2008 Phys. Rev. A 78 033805
[9] Luo H L, Wen S C, Shu W X, Tang Z X, Zou Y H, Fan D Y 2009 Phys. Rev. A 80 043810
[10] Luo H L, Wen S C, Shu W X, Fan D Y 2010 Phys. Rev. A 81 053826
[11] Luo H L, Wen S C, Shu W X, Fan D Y 2010 Phys. Rev. A 82 043825
[12] Jiang Y Y, Zhang Y Q, Shi H Y, Hou C F, Sun X D 2007 Acta Phys. Sin. 56 798 ( in Chinese ) [姜永远、 张永强、 时红艳、 侯春风、 孙秀冬 2007 物理学报 56 798]
[13] Goos F, hänchen H 1947 Ann. Phys. 436 333
[14] Fedorov F I 1955 Dokl. Akad. Nauk SSSR 105 465
[15] Imbert C 1972 Phys. Rev. D 5 787
[16] Zhou J H, Liu H Y, Luo H L, Wen S C 2008 Acta Phys. Sin. 57 7729 ( in Chinese ) [周建华、 刘虹遥、 罗海陆、 文双春 2008 物理学报 57 7729]
[17] Liu H Y, Lv Q, Luo H L, Wen S C 2010 Acta Phys. Sin. 59 256 ( in Chinese ) [刘虹遥、 吕 强、 罗海陆、 文双春 2010 物理学报 59 256]
[18] Zheng Q, Zhao X P, Fu Q H, Zhao Q, Kang L, Li M M 2005 Acta Phys. Sin. 54 5683 (in Chinese) [郑 晴、 赵晓鹏、 付全红、 赵 乾、 康 雷、 李明明 2005 物理学报 54 5683]
[19] Edwards B, Alu A, Young M E, Silveirinha M, Engheta N 2008 Phys. Rev. Lett. 100 033903
[20] Shin J, Shen J T, Fan S H 2009 Phys. Rev. Lett. 102 093903
[21] Murakami S, Nagaosa N, Zhang S C 2003 Science 301 1348
[22] Wunderlich J, Kaestner B, Sinova J, Jungwirth T 2005 Phys. Rev. Lett. 94 047204
[23] Bérard A, Mohrbach H 2006 Phys. Lett. 352 190
[24] Gosselin P, Bérard A, Mohrbach H 2007 Phys. Rev. 75 084035
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[1] Kato Y K, Myers R C A C 2004 Science 306 1910
[2] Onoda M, Murakami S, Nagaosa N 2004 Phys. Rev. Lett. 93 083901
[3] Bliokh K Y, Bliokh Y P 2006 Phys. Rev. Lett. 96 073903
[4] Bliokh K Y, Niv A, Kleiner V, Hasman E 2008 Nature Photonics 2 748
[5] Hosten O, Kwiat P 2008 Science 319 787
[6] Luo H L, Shu W X, Li F, Ren Z Z 2007 Phys. Rev. E 75 026601
[7] Luo H L, Ren Z Z, Shu W X, Wen S C 2008 Phys. Rev. A 77 023812
[8] Luo H L, Wen S C, Shu W X, Tang Z X, Zou Y H, Fan D Y 2008 Phys. Rev. A 78 033805
[9] Luo H L, Wen S C, Shu W X, Tang Z X, Zou Y H, Fan D Y 2009 Phys. Rev. A 80 043810
[10] Luo H L, Wen S C, Shu W X, Fan D Y 2010 Phys. Rev. A 81 053826
[11] Luo H L, Wen S C, Shu W X, Fan D Y 2010 Phys. Rev. A 82 043825
[12] Jiang Y Y, Zhang Y Q, Shi H Y, Hou C F, Sun X D 2007 Acta Phys. Sin. 56 798 ( in Chinese ) [姜永远、 张永强、 时红艳、 侯春风、 孙秀冬 2007 物理学报 56 798]
[13] Goos F, hänchen H 1947 Ann. Phys. 436 333
[14] Fedorov F I 1955 Dokl. Akad. Nauk SSSR 105 465
[15] Imbert C 1972 Phys. Rev. D 5 787
[16] Zhou J H, Liu H Y, Luo H L, Wen S C 2008 Acta Phys. Sin. 57 7729 ( in Chinese ) [周建华、 刘虹遥、 罗海陆、 文双春 2008 物理学报 57 7729]
[17] Liu H Y, Lv Q, Luo H L, Wen S C 2010 Acta Phys. Sin. 59 256 ( in Chinese ) [刘虹遥、 吕 强、 罗海陆、 文双春 2010 物理学报 59 256]
[18] Zheng Q, Zhao X P, Fu Q H, Zhao Q, Kang L, Li M M 2005 Acta Phys. Sin. 54 5683 (in Chinese) [郑 晴、 赵晓鹏、 付全红、 赵 乾、 康 雷、 李明明 2005 物理学报 54 5683]
[19] Edwards B, Alu A, Young M E, Silveirinha M, Engheta N 2008 Phys. Rev. Lett. 100 033903
[20] Shin J, Shen J T, Fan S H 2009 Phys. Rev. Lett. 102 093903
[21] Murakami S, Nagaosa N, Zhang S C 2003 Science 301 1348
[22] Wunderlich J, Kaestner B, Sinova J, Jungwirth T 2005 Phys. Rev. Lett. 94 047204
[23] Bérard A, Mohrbach H 2006 Phys. Lett. 352 190
[24] Gosselin P, Bérard A, Mohrbach H 2007 Phys. Rev. 75 084035
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