Skip to main content
Log in

Generation and tight-focusing properties of cylindrical vector circular Airy beams

  • Published:
Applied Physics B Aims and scope Submit manuscript

Abstract

Tight-focusing properties of cylindrical vector circular Airy beams [i.e., azimuthally polarized (AP) circular Airy beam and radially polarized (RP) circular Airy beam] passing through a high numerical aperture thin lens are investigated in detail. It is found that a super long subwavelength dark channel with full width at half maximum about 0.49λ and depth of focus (DOF) about 52λ can be achieved near the focal region for the case of tight focusing of an AP circular Airy beam, and a super long needle with DOF about 27.5λ of strong longitudinally polarized field can be obtained near the focal region for the case of tight focusing of a RP circular Airy beam. Furthermore, we report experimental generation of an AP circular Airy. Our results will be useful for atom guiding and trapping, particle acceleration and fluorescent imaging.

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
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

References

  1. J. Durnin, J. Opt. Soc. Am. A 4, 651 (1987)

    Article  ADS  Google Scholar 

  2. J. Durnin, J.J. Miceli, J.H. Eberly, Phys. Rev. Lett. 58, 1499 (1987)

    Article  ADS  Google Scholar 

  3. F. Gori, G. Guattari, C. Podovani, Opt. Commun. 64, 491 (1987)

    Article  ADS  Google Scholar 

  4. J.C. Gutiérrez-Vega, M.D. Iturbe-Castillo, S. Chávez-Cerda, Opt. Lett. 25, 1493 (2000)

    Article  ADS  Google Scholar 

  5. M.A. Bandres, J.C. Gutiérrez-Vega, S. Chávez-Cerda, Opt. Lett. 29, 44 (2004)

    Article  ADS  Google Scholar 

  6. G.A. Siviloglou, D.N. Christodoulides, Opt. Lett. 32, 979 (2007)

    Article  ADS  Google Scholar 

  7. G.A. Siviloglou, J. Broky, A. Dogariu, D.N. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007)

    Article  ADS  Google Scholar 

  8. J. Baumgartl, M. Mazilu, K. Dholakia, Nat. Photonics 2, 675 (2008)

    Article  ADS  Google Scholar 

  9. D.N. Christodoulides, Nat. Photonics 2, 652 (2008)

    Article  ADS  Google Scholar 

  10. Z. Zheng, B. Zhang, H. Chen, J. Ding, H. Wang, Appl. Opt. 50, 43 (2011)

    Article  ADS  Google Scholar 

  11. R. Cao, Y. Yang, J. Wang, J. Bu, M. Wang, X.C. Yuan, Appl. Phys. Lett. 99, 261106 (2011)

    Article  ADS  Google Scholar 

  12. P. Polynkin, M. Kolesik, J.V. Moloney, G.A. Siviloglou, D.N. Christodoulides, Science 324, 229 (2009)

    Article  ADS  Google Scholar 

  13. P. Polynkin, M. Kolesik, J. Moloney, Phys. Rev. Lett. 103, 123902 (2009)

    Article  ADS  Google Scholar 

  14. J. Li, X. Fan, W. Zang, J. Tian, Opt. Lett. 36, 648 (2011)

    Article  ADS  Google Scholar 

  15. D. Abdollahpour, S. Suntsov, D.G. Papazoglou, S. Tzortzakis, Phys. Rev. Lett. 105, 253901 (2010)

    Article  ADS  Google Scholar 

  16. A. Chong, W. Renninger, D.N. Christodoulides, F.W. Wise, Nat. Photonics 4, 103 (2010)

    Article  ADS  Google Scholar 

  17. P. Rose, F. Diebel, M. Boguslawski, C. Denz, Appl. Phys. Lett. 102, 101101 (2013)

    Article  ADS  Google Scholar 

  18. Y. Gu, G. Gbur, Opt. Lett. 35, 3456 (2010)

    Article  ADS  Google Scholar 

  19. J. Broky, G.A. Siviloglou, A. Dogariu, D.N. Christodoulides, Opt. Express 16, 12880 (2008)

    Article  ADS  Google Scholar 

  20. D.M. Cottrell, J.A. Davis, T.M. Hazard, Opt. Lett. 34, 2634 (2009)

    Article  ADS  Google Scholar 

  21. E. Abramochkin, E. Razueva, Opt. Lett. 36, 3732 (2011)

    Article  ADS  Google Scholar 

  22. T. Ellenbogen, N. Voloch-Bloch, A. Ganany-Padowicz, A. Arie, Nat. Photonics 3, 395 (2009)

    Article  ADS  Google Scholar 

  23. S. Longhi, Opt. Lett. 36, 716 (2011)

    Article  ADS  Google Scholar 

  24. I. Dolev, T. Ellenbogen, N. Voloch-Bloch, A. Arie, Appl. Phys. Lett. 95, 201112 (2009)

    Article  ADS  Google Scholar 

  25. N.K. Efremidis, D.N. Christodoulides, Opt. Lett. 35, 4045 (2010)

    Article  ADS  Google Scholar 

  26. D.G. Papazoglou, N.K. Efremidis, D.N. Christodoulides, S. Tzortzakis, Opt. Lett. 36, 1842 (2011)

    Article  Google Scholar 

  27. P. Zhang, J. Prakash, Z. Zhang, M.S. Mills, N.K. Efremidis, D.N. Christodoulides, Z. Chen, Opt. Lett. 36, 2883 (2011)

    Article  ADS  Google Scholar 

  28. Q. Zhan, Adv. Opt. Photonics 1, 1 (2009)

    Article  Google Scholar 

  29. K.S. Youngworth, T.G. Brown, Opt. Express 7, 77 (2000)

    Article  ADS  Google Scholar 

  30. Q. Zhan, J.R. Leger, Opt. Express 10, 324 (2002)

    Article  ADS  Google Scholar 

  31. R. Dorn, S. Quabis, G. Leuchs, Phys. Rev. Lett. 91, 233901 (2003)

    Article  ADS  Google Scholar 

  32. K. Kitamura, M. Nishimoto, K. Sakai, S. Noda, Appl. Phys. Lett. 101, 221103 (2012)

    Article  ADS  Google Scholar 

  33. B. Sick, B. Hecht, L. Novotny, Phys. Rev. Lett. 85, 4482 (2000)

    Article  ADS  Google Scholar 

  34. L. Novotny, M.R. Beversluis, K.S. Youngworth, T.G. Brown, Phys. Rev. Lett. 86, 5251 (2001)

    Article  ADS  Google Scholar 

  35. H. Wang, L. Shi, B. Lukyanchuk, C.J.R. Sheppard, C.T. Chong, Nat. Photonics 2, 501 (2008)

    Article  Google Scholar 

  36. W. Chen, D. Abeysinghe, R. Nelson, Q. Zhan, Nano Lett. 9, 4320 (2009)

    Article  ADS  Google Scholar 

  37. J. Li, Y. Salamin, B.J. Galow, C. Keitel, Phys. Rev. A 85, 063832 (2012)

    Article  ADS  Google Scholar 

  38. S. Payeur, S. Fourmaux, B.E. Schmidt, J.P. MacLean, C. Tchervenkov, F. Legare, M. Piche, J.C. Kieffer, Appl. Phys. Lett. 101, 041105 (2012)

    Article  ADS  Google Scholar 

  39. C. Hnatovsky, V. Shvedov, W. Krolikowski, A. Rode, Phys. Rev. Lett. 106, 123901 (2011)

    Article  ADS  Google Scholar 

  40. H. Kang, B. Jia, J. Li, D. Morrish, M. Gu, Appl. Phys. Lett. 96, 063702 (2010)

    Article  ADS  Google Scholar 

  41. H. Ono, H. Wakabayashi, T. Sasaki, A. Emoto, T. Shioda, N. Kawatsuki, Appl. Phys. Lett. 94, 071114 (2009)

    Article  ADS  Google Scholar 

  42. M. Fridman, G. Machavariani, N. Davidson, A.A. Friesem, Appl. Phys. Lett. 93, 191104 (2008)

    Article  ADS  Google Scholar 

  43. F. Wang, Y. Cai, Y. Dong, O. Korotkova, Appl. Phys. Lett. 100, 051108 (2012)

    Article  ADS  Google Scholar 

  44. F. Wang, X. Liu, L. Liu, Y. Yuan, Y. Cai, Appl. Phys. Lett. 103, 091102 (2013)

    Article  ADS  Google Scholar 

  45. S. Liu, M. Wang, P. Li, P. Zhang, J. Zhao, Opt. Lett. 38, 2416 (2013)

    Article  ADS  Google Scholar 

  46. B. Richards, E. Wolf, Proc. R. Soc. Lond. Ser. A 253, 358 (1959)

    Article  ADS  MATH  Google Scholar 

  47. M. Gu, Advanced Optical Imaging Theory (Springer, Berlin, 2000)

    Book  Google Scholar 

  48. B. Tian, J. Pu, Opt. Lett. 36, 2014 (2011)

    Article  ADS  Google Scholar 

  49. K. Lalithambigai, P. Suresh, V. Ravi, K. Prabakaran, Z. Jaroszewicz, K.B. Rajesh, P.M. Anbarasan, T.V.S. Pillai, Opt. Lett. 37, 999 (2012)

    Article  ADS  Google Scholar 

  50. T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, H. Sasada, Phys. Rev. Lett. 78, 4713 (1997)

    Article  ADS  Google Scholar 

  51. X.Y. Xu, V.G. Minogin, K. Lee, Y.Z. Wang, W. Jhe, Phys. Rev. A 60, 4796 (1999)

    Article  ADS  Google Scholar 

  52. J.A. Davis, D.M. Cottrell, J. Campos, M.J. Yzuel, I. Moreno, Appl. Opt. 38, 5004 (1999)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

This work is supported by the National Natural Science Foundation of China under Grant Nos. 11104195, 11274005, 11374222 and 11304204, the Universities Natural Science Research Project of Jiangsu Province under Grant 11KJB140007, the project funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions, the National Natural Science Foundation of Zhejiang Province of China under Grant No. LQ13A040003, and the project sponsored by the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yangjian Cai.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, F., Zhao, C., Dong, Y. et al. Generation and tight-focusing properties of cylindrical vector circular Airy beams. Appl. Phys. B 117, 905–913 (2014). https://doi.org/10.1007/s00340-014-5908-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00340-014-5908-9

Keywords

Navigation