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Propagation of anomalous vortex beams through an annular apertured paraxial ABCD optical system

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Abstract

A new form of laser beam, called anomalous vortex beam (AVB), has been proposed recently. Here we study the propagation characteristics of the AVB passing through a paraxial ABCD optical system with an annular aperture. The approximate analytical expressions are derived based on the Collins integral formula. Some numerical examples are given to illustrate the intensity distribution of the AVB through a paraxial ABCD optical system with an annular aperture. It is shown that the field distribution depends on the topological charge \(m\), the waist \(w_{0}\), and the width of annular aperture.

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References

  • Allen, L., Beijersbergen, M.W., Spreeuw, R.J.C., Woerd-Man, J.P.: Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes. Phys. Rev. A45, 8185–8189 (1992)

    Article  ADS  Google Scholar 

  • Belafhal, A., Dalil-Essakali, L.: Collins formula and propagation of Bessel modulated Gaussian light beams through an ABCD optical system. Opt. Commun. 177, 181–188 (2000)

  • Colins, S.A.: Len system diffraction integral written in terms of matrix optics. J. Opt. Soc. Am. 60(9), 1168–1177 (1970)

    Article  ADS  Google Scholar 

  • Dholakia, K., Spalding, G., MacDonald, M.: Optical tweezers: the next generation. Phys. World 15, 31–35 (2002)

    Google Scholar 

  • Ding, D., Liu, X.: Approximate description for Bessel-Gauss, and Gaussian beams with finite aperture. J. Opt. Soc. Am. A16, 1286–1293 (1999)

    Article  MathSciNet  ADS  Google Scholar 

  • Erdelyi, A., Magnus, W., Oberhettinger, F.: Tables of Integral Transforms. McGraw-Hill, New York (1954)

    Google Scholar 

  • Galajda, P., Ormos, P.: Complex micromachines produced and driven by light. Appl. Phys. Lett. 78, 249–251 (2001)

    Article  ADS  Google Scholar 

  • Gibson, G., Courtial, J., Padgett, M.J., Vasnetsov, M., Pas\(^\prime \)ko, V., Barnett, S.M., Franke-Arnold, S.: Free-space information transfer using light beams carrying orbital angular momentum. Opt. Express 12(22), 5448–5456 (2004)

  • Gradshteyn, I.S., Ryzhik, I.M.: Table of Integrals, Series, and Products. Elsevier, Amsterdam (2007)

    MATH  Google Scholar 

  • Grier, D.G.: A revolution in optical manipulation. Nature 424, 810–816 (2003)

    Article  ADS  Google Scholar 

  • He, H., Friese, M.E.J., Heckenberg, N.R., Rubinsztein-Dunlop, H.: Direct observation of transfer of angular momentum to absorbing particles from a laser beam with a phase singularity. Phys. Rev. Lett. 75, 826–829 (1995)

    Article  ADS  Google Scholar 

  • Mei, Z., Zhao, D., Gu, J.: Propagation of elegant Laguerre-Gaussian beams through an annular apertured paraxial ABCD optical system. Opt. Commun. 240, 337–343 (2004)

    Article  ADS  Google Scholar 

  • Molina-Terriza, G., Torres, J.P., Torner, L.: Twisted photons. Nat. Phys. 3, 305–310 (2007)

    Article  Google Scholar 

  • Overfelt, P.L., Kenney, C.S.: Comparison of the propagation characteristics of Bessel, Bessel-Gauss, and Gaussian beams diffracted by a circular aperture. J. Opt. Soc. Am. A8, 732–745 (1991)

    Article  ADS  Google Scholar 

  • Simpson, N.B., Allen, L., Padgett, M.J.: Optical tweezers and optical spanners with Laguerre-Gaussian modes. J. Modern Opt. 43, 2485–2492 (1996)

    Article  ADS  Google Scholar 

  • Wen, J.J., Breazeale, M.A.: Diffraction beam field expressed as the superposition of Gaussian beams. J. Acoust. Soc. Am. 83(5), 1752–1756 (1988)

    Article  ADS  Google Scholar 

  • Xu, Y., Wang, S.: Characteristic study of anomalous vortex beam through a paraxial optical system. Opt. Commun. 331, 32–38 (2014)

    Article  ADS  Google Scholar 

  • Yang, Y., Dong, Y., Zhao, C., Cai, Y.: Generation and propagation of an anomalous vortex beam. Opt. Lett. 38, 5418–5421 (2013)

    Article  ADS  Google Scholar 

  • Zhao, D., Mao, H., Shen, M., Liu, H., Jing, F., Zhu, Q., Wei, X.: Propagation of flattened Gaussian beams in apertured fractional Fourier transforming systems. J. Opt. A. Pure Appl. Opt. 6, 148–154 (2004)

    Article  ADS  Google Scholar 

  • Zhao, D., Mao, H., Zhang, W., Wang, S.: Propagation of off-axial Hermite-cosine-Gaussian beams through an apertured and misaligned ABCD optical system. Opt. Commun. 224, 5–12 (2003)

    Article  ADS  Google Scholar 

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Acknowledgments

We acknowledge the support by the National Natural Science Foundation of China under Grant Nos. 61205122 and 11474048

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Authors and Affiliations

  1. School of Astronautics and Aeronautics, University of Electronic Science and Technology of China, Chengdu, 611731, Sichuan, China

    Yiping Yuan & Yuanjie Yang

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  1. Yiping Yuan
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  2. Yuanjie Yang
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Correspondence to Yuanjie Yang.

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Yuan, Y., Yang, Y. Propagation of anomalous vortex beams through an annular apertured paraxial ABCD optical system. Opt Quant Electron 47, 2289–2297 (2015). https://doi.org/10.1007/s11082-014-0105-y

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  • DOI: https://doi.org/10.1007/s11082-014-0105-y

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