Skip to main content
SpringerLink
Log in

The Observation of Plasmonic Talbot Effect at Non-Illumination Side of Groove Arrays

  • Published:
Plasmonics Aims and scope Submit manuscript

Abstract

Talbot effect in a metallic groove array is observed numerically based on finite element method (FEM) and verified theoretically based on non-paraxial approximation. Grooves in the metallic layer are separated from backside with a narrow gap that is smaller than surface plasmon (SP) penetration depth in metal. At certain circumstances, SPs tunnel through the gap and constructively interfere beneath the metallic layer. In propagation pattern, called Talbot carpet, self-images at certain distances in a periodic row parallel the metallic layer are formed. The distance, called Talbot distance, is coincident with non-paraxial approximation result. To evaluate the periodicity of revivals, new parameters such as R-square, contrast, and image size are introduced. Afterwards, influence of the structural parameters such as groove size, period, and gap thickness on the light intensity is analyzed and proper values for near-infrared wavelength range is determined. We anticipate that our finding reveals better understanding of SP tunneling and paves a way toward utilization of this effect in Talbot effect attributed applications, particularly image processing.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9

Similar content being viewed by others

References

  1. Fresnel A (1819) Mémoire sur la diffraction de la lumière. Da P 339 a P 475 1 Tav Ft AQ 210:339

  2. Talbot HF (1836) LXXVI. Facts relating to optical science. No. IV. London Edinburgh Philos Mag J Sci 9:401–407

    Article  Google Scholar 

  3. Rayleigh L (1881) XXV. On copying diffraction-gratings, and on some phenomena connected therewith. London, Edinburgh, Dublin Philos Mag J Sci 11:196–205

    Article  Google Scholar 

  4. Liu L (1989) Talbot and Lau effects on incident beams of arbitrary wavefront, and their use. Appl Opt 28:4668–4678

    Article  CAS  PubMed  Google Scholar 

  5. Stuerzebecher L, Harzendorf T, Vogler U, Zeitner UD, Voelkel R (2010) Advanced mask aligner lithography: fabrication of periodic patterns using pinhole array mask and Talbot effect. Opt Express 18:19485–19494

    Article  CAS  PubMed  Google Scholar 

  6. Gao H, Hyun JK, Lee MH, Yang JC, Lauhon LJ, Odom TW (2010) Broadband plasmonic microlenses based on patches of nanoholes. Nano Lett 10:4111–4116

    Article  CAS  PubMed Central  PubMed  Google Scholar 

  7. Maddaloni P, Paturzo M, Ferraro P, Malara P, De Natale P, Gioffrè M et al (2009) Mid-infrared tunable two-dimensional Talbot array illuminator. Appl Phys Lett 94:121105

    Article  CAS  Google Scholar 

  8. Song YG, Han BM, Chang S (2001) Force of surface plasmon-coupled evanescent fields on Mie particles. Opt Commun 198:7–19

    Article  CAS  Google Scholar 

  9. Maier SA (2007) Plasmonics: fundamentals and applications. In: Springer Science & Business Media

    Google Scholar 

  10. Bavil MA, Liu Z, Zhou WW, Li CB, Cheng BW (2017) Photocurrent enhancement in Si-Ge photodetectors by utilizing surface plasmons. Plasmonics 12:1709–1715

    Article  CAS  Google Scholar 

  11. Bavil MA, Deng Q, Zhou Z (2014) Extraordinary transmission through gain-assisted silicon-based nanohole arrays in telecommunication regimes. Opt Lett 39:4506–4509

    Article  CAS  PubMed  Google Scholar 

  12. Zhi GA, Jin HS, He C, Guo FS, Jia KS, Yu YS et al (2016) Nanoplasmonic-gold-cylinder-array-enhanced terahertz source. J Semicond 37:123002

    Article  CAS  Google Scholar 

  13. Hess O, Pendry JB, Maier SA, Oulton RF, Hamm JM, Tsakmakidis KL (2012) Active nanoplasmonic metamaterials. Nat Mater 11:573–584

    Article  CAS  PubMed  Google Scholar 

  14. Wang J, Yang G, Zhang Q, Gao S, Zhang R, Zheng Y (2017) Localized surface plasmon-enhanced deep-UV light-emitting diodes with Al/Al2O3 asymmetrical nanoparticles. Plasmonics 12:843–848

    Article  CAS  Google Scholar 

  15. Wang J, Yang G, Ye X, Zhang Q, Gao S, Chen G (2017) Tailoring the multiple Fano resonances in nanobelt plasmonic cluster. Plasmonics 12:1641–1647

    Article  CAS  Google Scholar 

  16. Li W, Li H, Gao B, Yu Y (2017) Investigation on the plasmon Talbot effect of finite-sized periodic arrays of metallic nanoapertures. Sci Rep 7:45573

    Article  CAS  PubMed Central  PubMed  Google Scholar 

  17. Shi XY, Yang W, Xing H, Chen X (2015) Discrete plasmonic Talbot effect in finite metal waveguide arrays. Opt Lett 40:1635–1638

    Article  CAS  PubMed  Google Scholar 

  18. Wang Y, Zhou K, Zhang X, Yang K, Wang Y, Song Y, Liu S (2010) Discrete plasmonic Talbot effect in subwavelength metal waveguide arrays. Opt Lett 35:685–687

    Article  PubMed  Google Scholar 

  19. Cherukulappurath S, Heinis D, Cesario J, van Hulst NF, Enoch S, Quidant R (2009) Local observation of plasmon focusing in Talbot carpets. Opt Express 17:23772–23784

    Article  CAS  PubMed  Google Scholar 

  20. Chowdhury MH, Catchmark JM, Lakowicz JR (2007) Imaging three-dimensional light propagation through periodic nanohole arrays using scanning aperture microscopy. Appl Phys Lett 91:1–4

    Article  CAS  Google Scholar 

  21. Dennis MR, Zheludev NI, García de Abajo FJ (2007) The plasmon Talbot effect. Opt Express 15:9692–9700

    Article  PubMed  Google Scholar 

  22. Iwanow R, May-Arrioja DA, Christodoulides DN, Stegeman GI, Min Y, Sohler W (2005) Discrete Talbot effect in waveguide arrays. Phys Rev Lett 95:1–4

    Article  CAS  Google Scholar 

  23. Zhao WS, Eldaiki OM, Yang RX, Lu ZL (2010) Deep subwavelength waveguiding and focusing based on designer surface plasmons. Opt Express 18(20):21498–21503

    Article  PubMed  Google Scholar 

  24. Maradudin AA, Leskova TA (2009) The Talbot effect for a surface plasmon polariton. New J Phys 11:33004

    Article  CAS  Google Scholar 

  25. Van Oosten D, Spasenović M, Kuipers L (2010) Nanohole chains for directional and localized surface plasmon excitation. Nano Lett 10:286–290

    Article  CAS  PubMed  Google Scholar 

  26. Palik ED (1998) Handbook of optical constants of solids, vol 3. Academic press, Cambridge

    Google Scholar 

  27. Zhang W, Zhao C, Wang J, Zhang J (2009) An experimental study of the plasmonic Talbot effect. Opt Express 17:19757–19762

    Article  CAS  PubMed  Google Scholar 

  28. Hua Y, Suh JY, Zhou W, Huntington MD, Odom TW (2012) Talbot effect beyond the paraxial limit at optical frequencies. Opt Express 20:14284–14291

    Article  PubMed Central  PubMed  Google Scholar 

Download references

Acknowledgments

We thank Dr. Zamani, Dr. Gudarzi, and Dr. Deng for their kind and warm assistance during discussion on the related physical concept and numerical programming.

Funding

This work is supported by the 111 Project (D17021), Program for Changjiang Scholars, Innovative Research Team in University (PCSIRT, IRT_16R07) and the National Natural Science Foundation of China [Grant no. 61675195].

Author information

Authors and Affiliations

  1. Joint International Research Laboratory of Advanced Photonics and Electronics, Beijing Information Science and Technology University, Beijing, 100192, China

    Mehdi Afshari-Bavil, Xiaoping Luo, Mingli Dong & Lianqing Zhu

  2. Beijing Key Laboratory for Optoelectronic Measurement Technology, Beijing Information Science and Technology University, Beijing, 100192, China

    Mehdi Afshari-Bavil, Xiaoping Luo, Mingli Dong & Lianqing Zhu

  3. School of Science, Minzu University of China, Beijing, 100081, China

    Chuanbo Li & Shuai Feng

Authors
  1. Mehdi Afshari-Bavil
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Xiaoping Luo
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Chuanbo Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Shuai Feng
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Mingli Dong
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Lianqing Zhu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Mehdi Afshari-Bavil.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Afshari-Bavil, M., Luo, X., Li, C. et al. The Observation of Plasmonic Talbot Effect at Non-Illumination Side of Groove Arrays. Plasmonics 13, 2387–2394 (2018). https://doi.org/10.1007/s11468-018-0765-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11468-018-0765-8

Keywords

Search

Navigation