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根据广义惠更斯理论及相干偏振统一理论, 研究部分相干径向偏振光束在自由空间中传输时, 不同参考点处复相干度随传输距离的变化规律. 研究表明, 部分相干径向偏振光束在自由空间中传输, 不同参考点处, 复相干度模值随距离的变化规律有所差别. 当参考点位于原点时, 随着传输距离增大, μxx模值及μxy模值分布形式不变, 分布范围增大; 当参考点位于x轴上时, μxx模值由单峰值向三峰两谷对称形式演化, μxy模值由单侧两峰向四峰四谷对称形式演化, 完成演化所需传输距离与参考点距离x轴中心的远近有关, 参考点距离x轴中心越近, 完成演化所需的传输距离越短; 当参考点位于y轴时, 随着距离增大, μxx模值分布形式不变, 分布范围增大, μxy模值由上侧两峰向四峰四谷对称形式演化, 演化所需传输距离与参考点距y轴中心远近有关, 参考点距y轴中心越近, 完成演化所需的传输距离越短; 当参考点位于其他位置时(非特殊位置), μxx模值及μxy 模值分布规律, 遵从各自参考点在x轴, y轴上的分布规律的结合即参考点位于其他位置时, μxx模值及μxy模值分别随距离变化逐渐演化成三峰结构、四峰结构.
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关键词:
- 部分相干径向偏振光束 /
- 复相干度 /
- 参考位置
Based on the generalized Huygens theory and the unified theory of coherence and polarization, study is made on the module value of complex degree of coherence of partially coherent radially polarized beam (PCRPB) which changes with transmission distance at different reference point. Results show that the module value distribution of the complex degree changing with the transmission distance is different for different reference point while PCRPB propagates in a free space. When the reference point is at the origin, with the increase of the transmission distance, μxx and μxy hold a symmetric distribution, and the distribution range increases. When the reference point is confined on the x-axis, μxx changes from single peak to three peaks, and the two valleys lie symmetrically; and μxy changes from two peaks to four peaks, and the four valleys lie symmetrically. The transmission distance of the evolution is related to the distance between the reference point and the origin: the closer the distance between the reference point and the origin, the shorter the transmission distance is needed to achieve the evolution process. When the reference point lies on the y-axis, μxx holds a symmetric distribution, its distribution range increases, and μxy changes from two peak values to four peaks and four valleys which are in symmetric form. The transmission distance is related to the spacing between the reference point and the origin, the closer the distance between the reference point and the origin: the shorter the transmission is needed to achieve the evolution process. In addition, when the reference point lies at other positions on the observation plane, the module value distribution of μxx and μxy is obtained by combining the distribution rules of reference point at x-axis and y-axis: i.e., when the reference point lies at other positions of the observation plane, the module values μxx and μxy can be composed of three peaks and four peaks with the increase of transmission distance, respectively.-
Keywords:
- partially coherent radially polarized beam /
- complex degree of coherence /
- reference position
[1] Mushiake Y, Matsumura K, Nakajima N 1972 Proc IEEE 60 1107
[2] Quabis S, Dorn R, Leuchs G 2005 Appl. Phys. B 81 597
[3] Diehl D W, Schoonover R W, Visser T D 2006 Opt. Express 14 3030
[4] Salamin Y I 2006 Opt. Lett. 31 2619
[5] Deng D M, Guo Q, Wu L, Yang X 2007 J. Opt. Soc. Am. B 24 636
[6] Deng D M, Guo Q 2007 Opt. Lett. 32 2711
[7] Gao Y, Liu S G 2010 Laser & Optoelectronics Progress 47 101801 (in Chinese) [高宇, 刘书桂 2010 激光与光电子学进展 47 101801]
[8] Yan J, Lu Y H, Wang P, Ming H 2010 Acta. Opt. Sin. 30 3597 (in Chinese) [闫杰, 鲁拥华, 王沛, 明海 2010 光学学报 30 3597]
[9] Kimura W D, Kim G H, Romea R D, Steinhauer L C, Pogoreisky I V, Kusche K P, Fernow R C, Wang X, Liu Y 1995 Phys. Rev. Lett. 74 546
[10] Novotny L, Beversluis M R, Youngworth K S, Brown T G 2001 Phys. Rev. Lett. 86 5251
[11] Dorn R, Quabis S, Leuchs G 2003 Phys Rev. Lett. 91 233901
[12] Ricklin J C, Davidson F M 2002 J. Opt. Soc. Am. A 19 1794
[13] Salem M, Shirai T, Sogariu A, Wolf E 2003 Opt. Commun. 216 261
[14] Aristide D, Stefan A 2003 Opt. Lett. 28 10
[15] Chen X W, Tang M Y, Ji X L 2008 Acta. Phys. Sin. 57 2607 (in Chinese) [陈晓文, 汤明玥, 季小玲 2008 57 2607]
[16] Ji X L 2010 Acta. Phys. Sin. 59 3953 (in Chinese) [季小玲 2010 59 3953]
[17] Cui S W, Chen Z Y, Hu K L, Pu J X 2013 Acta. Phys. Sin. 62 094205 (in Chinese) [崔省伟, 陈子阳, 胡克磊, 蒲继雄 2013 62 094205]
[18] Mandel L, Wolf E 1995 Optical coherence and quantum optics (Cambridge: U. Press) p340-372
[19] E. Wolf. 2007 Introduction to the Theory of Coherence and Polarization of Light (Cambridge: U. Press) p25-28, 179-181, 191-197
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[1] Mushiake Y, Matsumura K, Nakajima N 1972 Proc IEEE 60 1107
[2] Quabis S, Dorn R, Leuchs G 2005 Appl. Phys. B 81 597
[3] Diehl D W, Schoonover R W, Visser T D 2006 Opt. Express 14 3030
[4] Salamin Y I 2006 Opt. Lett. 31 2619
[5] Deng D M, Guo Q, Wu L, Yang X 2007 J. Opt. Soc. Am. B 24 636
[6] Deng D M, Guo Q 2007 Opt. Lett. 32 2711
[7] Gao Y, Liu S G 2010 Laser & Optoelectronics Progress 47 101801 (in Chinese) [高宇, 刘书桂 2010 激光与光电子学进展 47 101801]
[8] Yan J, Lu Y H, Wang P, Ming H 2010 Acta. Opt. Sin. 30 3597 (in Chinese) [闫杰, 鲁拥华, 王沛, 明海 2010 光学学报 30 3597]
[9] Kimura W D, Kim G H, Romea R D, Steinhauer L C, Pogoreisky I V, Kusche K P, Fernow R C, Wang X, Liu Y 1995 Phys. Rev. Lett. 74 546
[10] Novotny L, Beversluis M R, Youngworth K S, Brown T G 2001 Phys. Rev. Lett. 86 5251
[11] Dorn R, Quabis S, Leuchs G 2003 Phys Rev. Lett. 91 233901
[12] Ricklin J C, Davidson F M 2002 J. Opt. Soc. Am. A 19 1794
[13] Salem M, Shirai T, Sogariu A, Wolf E 2003 Opt. Commun. 216 261
[14] Aristide D, Stefan A 2003 Opt. Lett. 28 10
[15] Chen X W, Tang M Y, Ji X L 2008 Acta. Phys. Sin. 57 2607 (in Chinese) [陈晓文, 汤明玥, 季小玲 2008 57 2607]
[16] Ji X L 2010 Acta. Phys. Sin. 59 3953 (in Chinese) [季小玲 2010 59 3953]
[17] Cui S W, Chen Z Y, Hu K L, Pu J X 2013 Acta. Phys. Sin. 62 094205 (in Chinese) [崔省伟, 陈子阳, 胡克磊, 蒲继雄 2013 62 094205]
[18] Mandel L, Wolf E 1995 Optical coherence and quantum optics (Cambridge: U. Press) p340-372
[19] E. Wolf. 2007 Introduction to the Theory of Coherence and Polarization of Light (Cambridge: U. Press) p25-28, 179-181, 191-197
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