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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.
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Keywords:
- generalized sinh-Gaussian beams /
- Gyrator transform /
- dark hollow beam /
- phase singularity
[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 物理学报 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 物理学报 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 物理学报 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 物理学报 61 054201]
[26] Tang H Q, Zhu K C 2013 Opt. Lasers Tech. 54 68
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