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In this paper, we study the influence of the bifocal lens on the focusing properties of Bessel beam. Based on the generalized Huygens-Fresnel diffraction integral, a more general expression of the light intensity distribution of nonsymmetrical optical system which is described by 4×4 matrix is deduced. The optical field distribution of Bessel beam passing through bifocal lens is given and simulated numerically. The influence of the focal length of the bifocal lens on Bessel beam is analyzed in detail. The generalized expression of the light intensity distribution can involve three cases, i.e., ordinary lens, bifocal lens and cylindrical lens. The greater the astigmation, the poorer the bottle beam quality will be. The ability to imprison microscopic particles decreases.
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Keywords:
- Bessel beam /
- diffraction integral theory /
- bifocal lens /
- astigmatic
[1] Xu P, He X D, Wang J, Zhan M S 2010 Opt. Lett. 35 2164
[2] Ivanov V V, Isaacs J A, Saffman M, Kemme S A, Ellis A R, Brady G R, Wendt J R, Biedermann G W, Samora S 2013 Eprint Arxiv 1305 5309
[3] Leake K D, Hawkins A R, Schmidt H 2013 Photo. Res. 1 47
[4] Zhou Q, Lu J F, Yin J P 2010 Chin. Phys. B 19 093202
[5] Rykov M A, Skidanov R V 2013 International Society for Optics and Photonics San Diego, August 25, 2013 p88102z
[6] Ramser K, Hanstorp D 2010 J. Biophoton. 3 187
[7] Du T J, Wang T, Wu F T 2014 Opt. Commun. 317 24
[8] Vyas S, Kozawa Y, Sato S 2014 Opt. Lett. 39 2080
[9] Chen G J, Zhou Q Q, Ji X M, Yin J P 2014 Acta Phys. Sin. 63 083701(in Chinese)[陈国钧, 周巧巧, 纪宪明, 印建平 2014 63 083701]
[10] Cai Y, Zhang L 2006 J. Opt. Soc. Am. B 23 1398
[11] He X, Du T J, Wu F T 2014 Acta Phys. Sin. 63 074201(in Chinese)[何西, 杜团结, 吴逢铁 2014 63 074201]
[12] Gao W, Hu X B, Sun D, Li J Y 2012 Opt. Express 20 20715
[13] Alpmann C, Esseling M, Rose P, Denz C 2012 Appl. Phys. Lett. 100 111101
[14] Tao T, Li J, Long Q, Wu X P 2011 Chin. Opt. Lett. 12 12
[15] Cheng Z M, Wu F T, Fang X, Fan D D, Zhu J Q 2012 Acta Phys. Sin. 61 214201(in Chinese)[程治明, 吴逢铁, 方翔, 范丹丹, 朱健强 2012 61 214201]
[16] Zhang Q A, Wu F T, Zheng W T 2012 Acta Phys. Sin. 61 034205(in Chinese)[张前安, 吴逢铁, 郑维涛 2012 61 034205]
[17] Zhou G, Cai Y, Chu X 2012 Opt. Express 20 9897
[18] Cai Y, Zhang L 2006 Opt. Commun. 265 607
[19] Zhao C L, Wang L G, Lu X H, Chen H 2007 Opt. Laser. Technol. 39 1199
[20] Ez-Zariy L, Nebdi H, Bentefour E H, Belafhal 2012 J. Opt. Photon. 2 318
[21] Chen H T, Gao Z H, Yang H J, Zuo X F, Wang F H 2012 J. Opt. Soc. Am. A 29 2406
[22] Bekshaev A Y, Soskin M S, Vasnetsov M V 2004 Opt. Commun. 241 237
[23] L B D 2003 Laser Optics (Beijing: Higher Education Press) p16-18 (in Chinese)[吕百达 2003 激光光学 (北京: 高等教育出版社) 第16-18页]
[24] Marcelino A M 2009 Appl. Opt. 48 4826
[25] Liu L, Wu F T 2008 Acta Opt. Sin. 28 370(in Chinese)[刘岚, 吴逢铁 2008 光学学报 28 370]
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[1] Xu P, He X D, Wang J, Zhan M S 2010 Opt. Lett. 35 2164
[2] Ivanov V V, Isaacs J A, Saffman M, Kemme S A, Ellis A R, Brady G R, Wendt J R, Biedermann G W, Samora S 2013 Eprint Arxiv 1305 5309
[3] Leake K D, Hawkins A R, Schmidt H 2013 Photo. Res. 1 47
[4] Zhou Q, Lu J F, Yin J P 2010 Chin. Phys. B 19 093202
[5] Rykov M A, Skidanov R V 2013 International Society for Optics and Photonics San Diego, August 25, 2013 p88102z
[6] Ramser K, Hanstorp D 2010 J. Biophoton. 3 187
[7] Du T J, Wang T, Wu F T 2014 Opt. Commun. 317 24
[8] Vyas S, Kozawa Y, Sato S 2014 Opt. Lett. 39 2080
[9] Chen G J, Zhou Q Q, Ji X M, Yin J P 2014 Acta Phys. Sin. 63 083701(in Chinese)[陈国钧, 周巧巧, 纪宪明, 印建平 2014 63 083701]
[10] Cai Y, Zhang L 2006 J. Opt. Soc. Am. B 23 1398
[11] He X, Du T J, Wu F T 2014 Acta Phys. Sin. 63 074201(in Chinese)[何西, 杜团结, 吴逢铁 2014 63 074201]
[12] Gao W, Hu X B, Sun D, Li J Y 2012 Opt. Express 20 20715
[13] Alpmann C, Esseling M, Rose P, Denz C 2012 Appl. Phys. Lett. 100 111101
[14] Tao T, Li J, Long Q, Wu X P 2011 Chin. Opt. Lett. 12 12
[15] Cheng Z M, Wu F T, Fang X, Fan D D, Zhu J Q 2012 Acta Phys. Sin. 61 214201(in Chinese)[程治明, 吴逢铁, 方翔, 范丹丹, 朱健强 2012 61 214201]
[16] Zhang Q A, Wu F T, Zheng W T 2012 Acta Phys. Sin. 61 034205(in Chinese)[张前安, 吴逢铁, 郑维涛 2012 61 034205]
[17] Zhou G, Cai Y, Chu X 2012 Opt. Express 20 9897
[18] Cai Y, Zhang L 2006 Opt. Commun. 265 607
[19] Zhao C L, Wang L G, Lu X H, Chen H 2007 Opt. Laser. Technol. 39 1199
[20] Ez-Zariy L, Nebdi H, Bentefour E H, Belafhal 2012 J. Opt. Photon. 2 318
[21] Chen H T, Gao Z H, Yang H J, Zuo X F, Wang F H 2012 J. Opt. Soc. Am. A 29 2406
[22] Bekshaev A Y, Soskin M S, Vasnetsov M V 2004 Opt. Commun. 241 237
[23] L B D 2003 Laser Optics (Beijing: Higher Education Press) p16-18 (in Chinese)[吕百达 2003 激光光学 (北京: 高等教育出版社) 第16-18页]
[24] Marcelino A M 2009 Appl. Opt. 48 4826
[25] Liu L, Wu F T 2008 Acta Opt. Sin. 28 370(in Chinese)[刘岚, 吴逢铁 2008 光学学报 28 370]
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