Skip to main content
Log in

Generation of two kinds of optical chains with multi-zone fan-shaped filter

  • Research Article
  • Published:
Journal of Optics Aims and scope Submit manuscript

Abstract

Based on the vector diffraction theory, two kinds of ultra-long transversally polarized optical chains are obtained by tight focusing double-ring azimuthally polarized Laguerre-Gaussian beams with multi-zone fan-shaped filter in a single lens system. One kind of optical chain is consisted by interconnected optical black spots arrays, and we call it as dark optical chain. In the dark optical chain, the axial length extends to 28λ when lateral full-width is 1.8λ at half-maximum, and the volume of black spots is about 3.45λ3. The other is consisted by isolated bright spots arrays, and we call it as bright optical chain. In the bright optical chain, the axial length extends to 32λ when lateral full-width is 0.478λ at half-maximum, and the volume of bright spots is about 1.18λ3. In addition, the flexible inter-conversion can be realized between the two kinds of optical chains by changing truncation parameters of incident beams. And the length of optical chains can be further extended by increasing the number of fans in multi-zone fan-shaped filter.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  1. M. Sun, J. Zhang, N. Li, K. Huang, H. Hu, X. Zhang, X. Lu, Radiation forces on a Rayleigh particle produced by partially coherent circular Airy beams. Opt. Express 27, 27777–27785 (2019)

    Article  ADS  Google Scholar 

  2. M.E. Friese, T.A. Nieminen, N.R. Heckenberg, H. Rubinsztein-Dunlop, Optical alignment and spinning of laser-trapped microscopic particles. Nature 394, 348–350 (1998)

    Article  ADS  Google Scholar 

  3. Y. Zhang, M. Wang, Z. Ning, E. Cao, X. Liu, Z. Nie, Temporal effect on tight focusing, optical force and spin torque of high-order vector-vortex beams. Opt. Laser Technol. 149, 107844 (2022)

    Article  Google Scholar 

  4. Q. Zhan, Cylindrical vector beams: from mathematical concepts to applications. Adv. Opt. Photon. 1, 1–57 (2009)

    Article  Google Scholar 

  5. D. Ayuso, A.F. Ordonez, M. Ivanov, O. Smirnova, Ultrafast optical rotation in chiral molecules with ultrashort and tightly focused beams. Optica 8, 1243–1246 (2021)

    Article  ADS  Google Scholar 

  6. Y. Zhang, X. Liu, H. Lin, D. Wang, E. Cao, S. Liu, Z. Nie, B. Jia, Ultrafast multi-target control of tightly focused light fields. Opto-Electron. Adv. 5, 210026–210026 (2022)

    Article  Google Scholar 

  7. X. Liu, W. Yan, Y. Liang, Z. Nie, Y. Wang, Z. Jiang, Y. Song, X. Zhang, Twisting polarization-tunable subdiffraction-limited magnetization through vectorial beam coupling. Adv. Photon. Res. 3, 2100117 (2021)

    Article  Google Scholar 

  8. X. Liu, W. Yan, Z. Nie, Y. Liang, E. Cao, Y. Wang, Z. Jiang, Y. Song, X. Zhang, All-optical demonstration of scalable super-resolved magnetic vortex core. Opt. Exp. 30, 10354–10366 (2022)

    Article  Google Scholar 

  9. R. Chandrasekaran, K. Prabakaran, K.B. Rajesh, Generation of multiple focal spot and focal hole segments using phase modulated cylindrically polarized annular multi-Gaussian beam. Opt. Quant. Electron. 48, 1–9 (2015)

    Google Scholar 

  10. J. Lin, R. Chen, P. Jin, M. Cada, Y. Ma, Generation of longitudinally polarized optical chain by 4π focusing system. Optics Commun. 340, 69–73 (2015)

    Article  ADS  Google Scholar 

  11. H. Lin, B. Jia, M. Gu, Generation of an axially super-resolved quasi-spherical focal spot using an amplitude-modulated radially polarized beam. Opt. Lett. 36, 2471–2473 (2011)

    Article  ADS  Google Scholar 

  12. X.Y. Jiao, S. Liu, Q. Wang, X.T. Gan, P. Li, J.L. Zhao, Redistributing energy flow and polarization of a focused azimuthally polarized beam with rotationally symmetric sector-shaped obstacles. Opt. Lett. 37, 1041–1043 (2012)

    Article  ADS  Google Scholar 

  13. Z.W. Cui, S.Y. GUo, J. Wang, F.P. Wu, Y.P. Han, Light scattering of Laguerre-Gaussian vortex beams by arbitrarily shaped chiral particles. J Opt Soc Am A 38, 1214–1223 (2021)

    Article  ADS  Google Scholar 

  14. S.N. Khonina, I. Golub, Engineering the smallest 3D symmetrical bright and dark focal spots. JOSA A 30, 2029–2033 (2013)

    Article  ADS  Google Scholar 

  15. X. Song, J. Wei, A. Teng, A. Zhao, Controllable axial optical chain beams using a holographic method. Opt. Exp. 29, 17304–17315 (2021)

    Article  Google Scholar 

  16. Y. Yu, Q. Zhan, Generation of uniform three-dimensional optical chain with controllable characteristics. J. Opt. 17, 105606 (2015)

    Article  Google Scholar 

  17. Y. Zhao, Q. Zhan, Y. Zhang, Y.-P. Li, Creation of a three-dimensional optical chain for controllable particle delivery. Opt. Lett. 30, 848–850 (2005)

    Article  ADS  Google Scholar 

  18. J. Cao, Q. Chen, H. Guo, Creation of a controllable three dimensional optical chain by TEM01 mode radially polarized Laguerre-Gaussian beam. Optik 124, 2033–2036 (2013)

    Article  ADS  Google Scholar 

  19. Z.Q. Nie, H. Lin, X.F. Liu, A.P. Zhai, Y.T. Tian, W.J. Wang, D.Y. Li, W.Q. Ding, X.R. Zhang, Y.L. Song, B.H. Jia, Three-dimensional super-resolution longitudinal magnetization spot arrays. Light Sci Appl 6, e17032 (2017)

    Article  Google Scholar 

  20. Z. Chen, D. Zhao, 4Pi focusing of spatially modulated radially polarized vortex beams. Opt Lett 37, 1286–1288 (2012)

    Article  ADS  Google Scholar 

  21. J. Wang, W. Chen, Q. Zhan, Creation of uniform three-dimensional optical chain through tight focusing of space-variant polarized beams. J. Opt. 14, 055004 (2012)

    Article  ADS  Google Scholar 

  22. D. Li, X. Chen, Z. Yang, W. Zhang, J. Zhao, Velocity property of an optical chain generated by the tightly focused femtosecond radially polarization pulse. Appl Opt 60, 2380–2387 (2021)

    Article  ADS  Google Scholar 

  23. C.M. Sundaram, K. Prabakaran, K.B. Rajesh, M. Udhayakumar, P.M. Anbarasan, A.M. Musthafa, Tight focusing properties of phase modulated azimuthally polarized doughnut Gaussian beam. Opt. Quant. Electron. 48, 1–12 (2016)

    Article  Google Scholar 

  24. L. Gong, L. Wang, Z. Zhu, X. Wang, H. Zhao, B. Gu, Generation and manipulation of super-resolution spherical magnetization chains. Appl Opt 55, 5783–5789 (2016)

    Article  ADS  Google Scholar 

  25. W. Yan, Z. Nie, X. Zhang, Y. Wang, Y. Song, Magnetization shaping generated by tight focusing of azimuthally polarized vortex multi-Gaussian beam. Appl Opt 56, 1940–1946 (2017)

    Article  ADS  Google Scholar 

  26. Z. Nie, W. Ding, G. Shi, D. Li, X. Zhang, Y. Wang, Y. Song, Achievement and steering of light-induced sub-wavelength longitudinal magnetization chain. Opt Express 23, 21296–21305 (2015)

    Article  ADS  Google Scholar 

  27. S. Seethalakshmi, M. Udhayakumar, N. Priyadharsini, K. Rajesh, Z. Jaroszewicz, Generation of sub-wavelength longitudinal magnetic probe and multiple spots using circularly polarized annular multi-Gaussian beam. J. Opt. 48, 586–593 (2019)

    Article  Google Scholar 

  28. L. Zhu, M. Sun, D. Zhang, J. Yu, J. Wen, J. Chen, Multifocal array with controllable polarization in each focal spot. Opt Exp. 23, 24688–24698 (2015)

    Article  Google Scholar 

  29. T. Zhang, M. Li, H. Ye, C. Shi, Ultra-long and high uniform optical needle generated with genetic algorithm based multifocal positions optimization. Optics Communications 460, 125178 (2020)

    Article  Google Scholar 

  30. W. Harm, S. Bernet, M. Ritsch-Marte, I. Harder, N. Lindlein, Adjustable diffractive spiral phase plates. Opt Exp. 23, 413–421 (2015)

    Article  Google Scholar 

  31. N. Umamageswari, M. Lavanya, M. Udhayakumar, K. Rajesh, Z. Zaroszewicz, Tight focusing properties of phase modulated azimuthally polarized doughnut Gaussian vortex beam by high NA parabolic mirror. Mater. Today: Proceed. 26, 3539–3543 (2020)

    Article  Google Scholar 

  32. K. Youngworth, T. Brown, Focusing of high numerical aperture cylindrical-vector beams. Opt. Express 7, 77–87 (2000)

    Article  ADS  Google Scholar 

  33. E. Wolf, Electromagnetic diffraction in optical systems - I. An integral representation of the image field, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 253, 349–357 (1997)

  34. B.R.a.E. Wolf, Electromagnetic diffraction in optical systems, II. Structure of the image field in an aplanatic system, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 253, 358–379 (1997)

  35. J. Lin, H. Zhao, Y. Ma, J. Tan, P. Jin, New hybrid genetic particle swarm optimization algorithm to design multi-zone binary filter. Opt Exp. 24, 10748–10758 (2016)

    Article  Google Scholar 

  36. C.-K. Shi, Z.-Q. Nie, Y.-T. Tian, C. Liu, Y.-C. Zhao, B.-H. Jia, Super-resolution longitudinally polarized light needle achieved by tightly focusing radially polarized beams. Optoelectron. Lett. 14, 1–5 (2018)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

We acknowledge the support by Heilongjiang Nature Science Foundation Joint Guidance Project (No. LH2019F032), and the Young Scholar Innovation Team of Heilongjiang University (KJCX201905, KJCX201907)

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Degui Kong.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhang, Y., Zuo, S., Zhou, Z. et al. Generation of two kinds of optical chains with multi-zone fan-shaped filter. J Opt 52, 1001–1007 (2023). https://doi.org/10.1007/s12596-022-00940-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12596-022-00940-x

Keywords

Navigation