Abstract
Because circularly polarized vortex beam can be characterized as the linear superposition of radially polarized and azimuthally polarized components in the cylindrical coordinate. When investigating the focusing properties of the circularly polarized vortex beam, we must consider radially polarized vortex beam has azimuthal component and azimuthally polarized vortex beam has radial component after focusing. Due to this reason, the focusing properties of the circularly polarized vortex beams have been restudied based on the amending the tightly focusing formula of the circularly polarized vortex beam. The results show that not only the focusing of the single handedness of the circularly polarized vortex beam but also the focusing of superposition of two circularly polarized vortex beams with different topological charges and different handedness can generate the flat-top intensity shape. We also investigate the influence of amplitude ratio, waist radius and the aperture blocking on the flat-topped focus size.
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References
Q. Zhan, J.R. Leger, Focus shaping using cylindrical vector beams. Opt. Express 10(7), 324–331 (2002)
L.E. Helseth, Optical vortices in focal regions. Opt. Commun. 229(1–6), 85–91 (2004)
G. Therese Anita, N. Umamageswari, K. Prabakaran, T.V.S. Pillai, K.B. Rajesh, Effect of coma on tightly focused cylindrically polarized vortex beams. Opt. Laser Technol. 76, 1–5 (2016)
L. Rao, J. Pu, Z. Chen, P. Yei, Focus shaping of cylindrically polarized vortex beams by a high numerical-aperture lens. Opt. Laser Technol. 41(3), 241–246 (2009)
H. Wei, Y. Yang, W. Cheng, Q. Zhan, Vectorial optical field generator for the creation of arbitrarily complex fields. Opt. Express 21(18), 20692–20706 (2013)
L. Allen, M.W. Beijersbergen, R.J.C. Spreeuw, J.P. Woerdman, Orbital angular momentum of light and the transformation of Laguerre-Gaussian Laser modes. Phys. Rev. A 45(11), 8185–8189 (1992)
M.W. Beijersbergen, L. Allen, H.E.L.Q. van der Ween, J.P. Woerdman, Astigmatic laser mode converters and transfer of orbital angular momentum. Opt. Commun. 96, 123–132 (1993)
W.M. Lee, X. Yuan, D. Tang, Optical tweezers with multiple optical forces using double-hologram interference. Opt. Express 11(3), 199–207 (2003)
S. Tao, X. Yuan, J. Lin, X. Peng, H. Niu, Fractional optical vortex beam induced rotation of particles. Opt. Express 13(20), 7726–7731 (2005)
K. Huang, P. Shi, G. Cao, K. Li, X. Zhang, Y. Li, Vector-vortex Bessel-Gauss beams and their tightly focusing properties. Opt. Lett. 36(6), 888–890 (2011)
Z. Bomzon, M. Gu, Space-variant geometrical phases in focused cylindrical light beams. Opt. Lett. 32(20), 3017–3019 (2007)
Y. Zhao, J.S. Edgar, G.D.M. Jeffries, D. McGloin, D.T. Chiu, Spin-to-orbital angular momentum conversion in a strongly focused optical beam. Phys. Rev. Lett. 99(7), 073901 (2007)
Y. Zhao, D. Shapiro, D. Mcgloin, D.T. Chiu, S. Marchesini, Direct observation of the transfer of orbital angular momentum to metal particles from a focused circularly polarized Gaussian beam. Opt. Express 17(25), 23316–23322 (2009)
B. Chen, J. Pu, Tight focusing of elliptically polarized vortex beams. Appl. Opt. 48(7), 1288–1294 (2009)
J. Shu, J.X. Pu, Y. Liu, Angular momentum conversion of elliptically polarized beams focused by high numerical-aperture phase Fresnel zone plates. Appl. Phys. B 104(3), 639–646 (2011)
Z. Bomzon, M. Gu, J. Shamir, Angular momentum and geometrical phases in tightly focused circularly polarized plane waves. Appl. Phys. Lett. 89, 241104 (2006)
Y. Iketaki, T. Watanabe, N. Bokor, M. Fujii, Investigation of the center intensity of first- and second-order Laguerre-Gaussian beams with linear and circular polarization. Opt. Lett. 32(16), 2357–2359 (2007)
Q. Zhan, Properties of circularly polarized vortex beams. Opt. Lett. 31(7), 867–869 (2006)
Z. Zhang, J. Pu, X. Wang, Tight focusing of radially and azimuthally polarized vortex beams through a uniaxial birefringent crystal. Appl. Opt. 47(12), 1963–1967 (2008)
S. Tripathi, K.C. Toussaint, Versatile generation of optical vector fields and vector beams using a non-interferometric approach. Opt. Express 20(10), 10788–10795 (2012)
S. Sato, Y. Kozawa, Hollow vortex beams. J. Opt. Soc. Am. A 26(1), 142–146 (2009)
H. Chen, S. Tripathi, K.C. Toussaint, Demonstration of flat-top focusing under radial polarization illumination. Opt. Lett. 39(4), 834–837 (2014)
F. Wang, S. Zhu, Y. Cai, Experimental study of the focusing properties of a Gaussian Schell-model vortex beam. Opt. Lett. 36(16), 3281–3283 (2011)
E. Wolf, Electromagnetic diffraction in optical system I1959 An integral representation of the image field. Proc. R. Soc. Lond. Ser. A 253, 349–357 (1959)
K.S. Youngworth, T.G. Brown, Focusing of high numerical aperture cylindrical-vector beams. Opt. Express 7(2), 77–87 (2000)
K. Huang, P. Shi, X.-L. Kang, X. Zhang, Y.-p. Li, Design of DOE for generating a needle of a strong longitudinally polarized field. Opt. Lett. 35(7), 965–967 (2010)
Acknowledgments
This work was supported by the National Natural Science Foundation of China (Grant Nos. 11264016 and 61265001), the Science and Technology Foundation of Jiangxi Province Education Department (Grant No. GJJ12172), and the National Science Foundation of Shanghai (Grant No. 16ZR1411600), China.
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Yuan, W., Guo, Q., Sang, M. et al. Flattop shaped creation based on strong focusing of circularly polarized vortex beams. J Opt 46, 164–169 (2017). https://doi.org/10.1007/s12596-016-0365-y
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DOI: https://doi.org/10.1007/s12596-016-0365-y