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Topological Properties of Spatial Coherence Function |
| REN Ji-Rong;ZHU Tao;DUAN Yi-Shi |
| Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000 |
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REN Ji-Rong, ZHU Tao, DUAN Yi-Shi 2008 Chin. Phys. Lett. 25 367-370 |
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Abstract The topological properties of the spatial coherence function are investigated rigorously. The phase singular structures (coherence vortices) of coherence function can be naturally deduced from the topological current, which is an abstract mathematical object studied previously. We find that coherence
vortices are characterized by the Hopf index and Brouwer degree in
topology. The coherence flux quantization and the linking of the closed coherence vortices are also studied from the topological properties of the spatial coherence function.
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| Keywords:
03.65.Vf
42.25.Kb
02.40.Xx
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Received: 28 August 2007
Published: 30 January 2008
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[1] Wolf E 1954 Proc. R. Soc. A 225 96 Wolf E 1954 Nuovo Cimento 12 884
[2] Schouten H F, Gbur G, Visser T D and Wolf E 2003 Opt.Lett. 28 968 Gbur G and Visser T D 2003 Opt. Commun. 222 117
[3Bogatyryova G V, Fel{\'{de C V, Polyanskii P V,Ponomarenko S A, Soskin M S and Wolf E 2003 Opt. Lett. 28 878 Palacios D M, Maleev I D, Marathay A S and Swartzlander G A,Jr. 2004 Phys. Rev. Lett. 92 143905 Fischer D G and Visser T D 2004 J. Opt. Soc. Am. A 21 2097
[4]Wang W, Duan Z, Hanson S G, Miyamoto Y and Takeda M 2006 Phys. Rev. Lett. 96 073902
[5] Wang W and Takeda M 2006 Phys. Rev. Lett. 96223904
[6] Duan Y S, Li S and Yang G H 1998 Nucl. Phys. B 514 705 Duan Y S, Zhang H and Li S 1998 Phys. Rev. B 58125
[7]Duan Y S, Liu X and Fu L B 2003 Phys. Rev. D 67085022
[8] Duan Y S, Liu X and Zhang P M 2002 J. Phys: Condens.Mather 14 7941
[9] Duan Y S, Zhang H and Jia G 1999 Phys. Lett. A 253 57
[10]Goursat E 1904 A Course in Mathematical Analysistranslated by Hedrick E R (New York: Dover) Vol 1
[11] Schouton J A 1951 Tensor Analysis for Physicists(Oxford: Clarendon)
[12] Moffatt H K 1969 J. Fluid. Mech. 35 117
[13Ra\~{nada A F and Trueba J L 1995 Phys. Lett. A 202 337
[14]Berry M V and Dennis M R 2001 Proc. R. Soc. A 457 2251
[15] Dennis M R 2004 J. Opt. A: Pure. Appl. Opt. 6 S202
[16] Holleran K O, Padgett M J and Dennis M R 2006 Opt.Exp 14 3039
[17]Leach J, Dennis M R, Courtial J and Padgett M J 2004 Nature 432 165 Leach J, Dennis M R, Courtial J and Padgett M J 2005 NewJ. Phys. 7 55
[18]Ren J R and Zhu T (in preparation) |
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