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基于Gyrator变换，推导了广义双曲正弦-高斯光束场分布的解析表达式，研究了广义双曲正弦-高斯光束在Gyrator变换平面上的光强分布和相位特性. 结果表明，在Gyrator变换过程中，具有边缘位错相位特性的双曲正弦-高斯光束能转换为具有涡旋的暗空心光束，并确定产生的暗空心光束的拓扑荷指数为一，而不具有边缘位错相位特性的双曲余弦-高斯光束则不可能出现空心结构. 对影响变换场强度和相位分布的束结构参数及系统参数进行了分析讨论.
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关键词:
- 广义双曲正弦-高斯光束 /
- Gyrator 变换 /
- 暗空心光束 /
- 相位奇异性
Starting from the Gyrator trnasform formula, the closed-form filed distribution of generalized sinh-Gaussian beam passing through such a transform system is derived, and the intensity distribution and the corresponding phase distribution associated with the transforming generalized sinh-Gaussian beams are analyzed. Based on the numerical method, the distributions are graphically drawn and it is found that, for appropriate beam parameters and by carefully adjusting the transform angle of Gyrator transform, the dark hollow beam with topological charge index being unity can be realized with sinh-Gaussian beam carrying an edge dislocation. And the influences of the beam parameters and the transform angle on the formation of perfect dark hollow beams are analyzed. However, it is impossible to obtain dark hollow beam with Gyrator transforming cosh-Gaussian beam.-
Keywords:
- generalized sinh-Gaussian beams /
- Gyrator transform /
- dark hollow beam /
- phase singularity
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[2] Rodrigo J A, Alieva T, Calvo M L 2007 J. Opt. Soc. Am. A 24 3135
[3] Rodrigo J A, Alieva T, Calvo M L 2007 Opt. Commun. 278 279
[4] Li H J 2009 Opt. Lasers Eng. 47 45
[5] Liu Z J, Guo Q, Xu L, Ahmad M A, Liu S T 2010 Opt. Express 18 12033
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[9] Yao A M, Padgett M J 2011 Adv. Opt. Photon. 3 161
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[13] Petrov D V 2001 Opt. Commun. 188 307
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[15] He D, Gao Z H, Yan H W, L B D 2011 Chin. Phys. B 20 014201
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[18] Casperson L W, Tovar A A 1998 J. Opt. Soc. Am. A 15 954
[19] Tovar A A, Casperson L W 1998 J. Opt. Soc. Am. A 15 2425
[20] Zhang B, Ma H, L B D 1999 Acta Phys. Sin. 48 1869 (in Chinese) [张彬, 马虹, 吕百达 1999 48 1869]
[21] Eyyuboglu H T, Baykal Y 2005 J. Opt. Soc. Am. A 22 2709
[22] Eyyuboglu H T, Tanyer H 2007 Optik 118 289
[23] Ding P H, Qu J, Meng K, Cui Z F 2008 Opt. Commun. 281 395
[24] Sun Q G, Zhou K Y, Fang G Y, Zhang G Q, Liu Z J, Liu S T 2012 Opt. Express 20 9682
[25] He X M, L B D 2012 Acta Phys. Sin. 61 054201 (in Chinese) [何雪梅, 吕百达 2012 61 054201]
[26] Tang H Q, Zhu K C 2013 Opt. Lasers Tech. 54 68
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[1] Rodrigo J A, Alieva T, Calvo M L 2007 Opt. Express 15 2190
[2] Rodrigo J A, Alieva T, Calvo M L 2007 J. Opt. Soc. Am. A 24 3135
[3] Rodrigo J A, Alieva T, Calvo M L 2007 Opt. Commun. 278 279
[4] Li H J 2009 Opt. Lasers Eng. 47 45
[5] Liu Z J, Guo Q, Xu L, Ahmad M A, Liu S T 2010 Opt. Express 18 12033
[6] Singh N, Sinha A 2009 Opt. Lasers Eng. 47 539
[7] Abuturab M R 2012 Opt. Lasers Eng. 50 1383
[8] Nye J F, Berry M 1974 Proc. R. Soc. Lond. A 336 165
[9] Yao A M, Padgett M J 2011 Adv. Opt. Photon. 3 161
[10] Yin J, Gao W, Zhu Y 2003 Prog. Opt. 44 119
[11] Deng D, Fu X, Wei C, Shao J, Fan Z 2005 Appl. Opt. 44 7187
[12] Cai Y, Zhang L 2006 J. Opt. Soc. Am. B 23 1398
[13] Petrov D V 2001 Opt. Commun. 188 307
[14] Yan H W, L B D 2008 Opt. Commun. 282 717
[15] He D, Gao Z H, Yan H W, L B D 2011 Chin. Phys. B 20 014201
[16] Chen H T, Gao Z H, Yang H J, Zou X F, Liu X Q 2012 J. Mod. Opt. 59 579
[17] Casperson L W, Hall D G, Tovar A A 1997 J. Opt. Soc. Am. A 14 3341
[18] Casperson L W, Tovar A A 1998 J. Opt. Soc. Am. A 15 954
[19] Tovar A A, Casperson L W 1998 J. Opt. Soc. Am. A 15 2425
[20] Zhang B, Ma H, L B D 1999 Acta Phys. Sin. 48 1869 (in Chinese) [张彬, 马虹, 吕百达 1999 48 1869]
[21] Eyyuboglu H T, Baykal Y 2005 J. Opt. Soc. Am. A 22 2709
[22] Eyyuboglu H T, Tanyer H 2007 Optik 118 289
[23] Ding P H, Qu J, Meng K, Cui Z F 2008 Opt. Commun. 281 395
[24] Sun Q G, Zhou K Y, Fang G Y, Zhang G Q, Liu Z J, Liu S T 2012 Opt. Express 20 9682
[25] He X M, L B D 2012 Acta Phys. Sin. 61 054201 (in Chinese) [何雪梅, 吕百达 2012 61 054201]
[26] Tang H Q, Zhu K C 2013 Opt. Lasers Tech. 54 68
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