Skip to main content
Log in

The hybrid mode propagation of surface plasmon polaritons at the interface of graphene and a chiral medium

  • Regular Article
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

Abstract.

This study presents a theoretical approach to investigate the distinguishing features of surface plasmon polaritons (SPPs) at the interface of graphene and a four-level chiral atomic medium. The SPPs show the left and the right circularly polarized (LCP and RCP) propagation modes due to the cross coupling of electric and magnetic fields in the chiral medium. The two propagation modes of the SPPs are controlled with the strengths of control fields and their corresponding phases under the effect of Kerr nonlinearity (KNL). A 0.15 radian angle of divergence is calculated between the LCP and RCP modes of the SPPs under the effect of KNL, which is further modified to 0.5 radian with the strengths of control fields at a propagation length equal to \(80 \lambda_{0}\). The possibility of such hybrid mode SPPs propagation may result into new technological applications in the design of more compact nano-photonic devices.

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.

Similar content being viewed by others

References

  1. H. Ditlbacher, J.R. Krenn, G. Schider, A. Leitner, F.R. Aussenegg, Appl. Phys. Lett. 81, 1762 (2002)

    Article  ADS  Google Scholar 

  2. W.L. Barnes, A. Dereux, T.W. Ebbesen, Nature (London) 424, 824 (2003)

    Article  ADS  Google Scholar 

  3. M. Bernardi, J. Mustafa, J.B. Neaton, S.G. Louie, Nat. Commun. 6, 7044 (2015)

    Article  ADS  Google Scholar 

  4. Z. Zhang, Y. Fang, W. Wang, L. Chen, M. Sun, Adv. Sci. 3, 1500215 (2016)

    Article  Google Scholar 

  5. M.S. Tame, K.R. McEnery, S.K. Özdemir, J. Lee, S.A. Maier, M.S. Kim, Nat. Phys. 9, 329 (2013)

    Article  Google Scholar 

  6. J.M. Fitzgerald, P. Narang, R.V. Craster, S.A. Maier, V. Giannini, Proc. IEEE 104, 2307 (2016)

    Article  Google Scholar 

  7. T.W. Ebbesen, H.J. Lezec, H.F. Ghaemi, T. Thio, P.A. Wolff, Nature (London) 391, 667 (1998)

    Article  ADS  Google Scholar 

  8. J.B. Pendry, Phys. Rev. Lett. 85, 3966 (2000)

    Article  ADS  Google Scholar 

  9. E. Ozbay, Science 311, 189 (2006)

    Article  ADS  Google Scholar 

  10. M.I. Stockman, Nano Lett. 6, 2604 (2006)

    Article  ADS  Google Scholar 

  11. R. Kolesov, B. Grotz, G. Balasubramanian, R.J. Stöhr, A.A.L. Nicolet, P.R. Hemmer, F. Jelezko, J. Wrachtrup, Nat. Phys. 5, 470 (2009)

    Article  Google Scholar 

  12. X. Wang, Y. Deng, Q. Li, Y. Huang, Z. Gong, K.B. Tom, J. Yao, Light Sci. Appl. 5, e16179 (2016)

    Article  Google Scholar 

  13. N. Khan, B.A. Bacha, A. Iqbal, A.U. Rahman, A. Afaq, Phys. Rev. A 96, 013848 (2017)

    Article  ADS  Google Scholar 

  14. S. Sun, H.T. Chen, W.J. Zheng, G.Y. Guo, Opt. Express 21, 14591 (2013)

    Article  ADS  Google Scholar 

  15. A. Pors, M.G. Nielsen, T. Bernardin, J.C. Weeber, S.I. Bozhevolnyi, Light Sci. Appl. 3, 1 (2014)

    Article  Google Scholar 

  16. F. Wu, W. Wang, J. Hua, Z. Xu, F. Li, Sci. Rep. 6, 37512 (2016)

    Article  ADS  Google Scholar 

  17. P.H. Chang, C. Lin, A.S. Helmy, J. Lightwave Technol. 34, 952 (2016)

    Article  ADS  Google Scholar 

  18. G. Mi, V. Van, Opt. Lett. 39, 2028 (2014)

    Article  ADS  Google Scholar 

  19. S. Zhang, H. Wei, K. Bao, U. Hakanson, N.J. Halas, P. Nordlander, H. Xu, Phys. Rev. Lett. 107, 096801 (2011)

    Article  ADS  Google Scholar 

  20. A.K. Geim, K.S. Novoselov, Nat. Mater. 6, 183 (2007)

    Article  ADS  Google Scholar 

  21. F. Wang, Y. Zhang, C. Tian, C. Girit, A. Zettl, M. Crommie, Y.R. Shen, Science 320, 206 (2008)

    Article  ADS  Google Scholar 

  22. K.S. Novoselov, A.K. Geim, S.V. Morozov, D. Jiang, M.I. Katsnelson, I.V. Grigorieva, S.V. Dubonos, A.A. Firsov, Nature 438, 197 (2005)

    Article  ADS  Google Scholar 

  23. K.S. Novoselov, E. McCann, S.V. Morozov, V.I. Falko, M.I. Katsnelson, U. Zeitler, D. Jiang, F. Schedin, A.K. Geim, Nat. Phys. 2, 177 (2006)

    Article  Google Scholar 

  24. Y.B. Zhang, Y.W. Tan, H.L. Stormer, P. Kim, Nature 438, 201 (2005)

    Article  ADS  Google Scholar 

  25. M.I. Katsnelson, K.S. Novoselov, A.K. Geim, Nat. Phys. 2, 620 (2006)

    Article  Google Scholar 

  26. F. Miao et al., Science 317, 1530 (2007)

    Article  ADS  Google Scholar 

  27. A.A. Balandin, S. Ghosh, W. Bao, I. Calizo, D. Teweldebrhan, F. Miao, C.N. Lau, Nano Lett. 8, 902 (2008)

    Article  ADS  Google Scholar 

  28. K.I. Bolotin, K.J. Sikes, Z. Jiang, M. Klima, G. Fudenberg, J. Hone, P. Kim, H.L. Stormer, Solid State Commun. 146, 351 (2008)

    Article  ADS  Google Scholar 

  29. A.R. Wright, X.G. Xu, J.C. Cao, C. Zhang, Appl. Phys. Lett. 95, 072101 (2009)

    Article  ADS  Google Scholar 

  30. H. Rahman, H. Bibi, M.S. Abdul Jabar, I. Ahmad, EPL 122, 57003 (2018)

    Article  ADS  Google Scholar 

  31. S.A. Mikhailov, K. Ziegler, Phys. Rev. Lett. 99, 016803 (2007)

    Article  ADS  Google Scholar 

  32. M. Hentschel, M. Schäferling, X. Duan, H. Giessen, N. Liu, Sci. Adv. 3, e1602735 (2017)

    Article  ADS  Google Scholar 

  33. H.J. Ross, B.S. Sherborne, G.E. Stedman, J. Phys. B: At. Mol. Opt. Phys. 22, 459 (1989)

    Article  ADS  Google Scholar 

  34. S. Ahmad, A. Ahmad, B.A. Bacha, A.A. Khan, M.S. Abdul Jabar, Eur. Phys. J. Plus 132, 506 (2017)

    Article  Google Scholar 

  35. M.O. Scully, M.S. Zubairy, Quantum Optics (Cambridge University Press, Cambridge, 1997)

  36. T.N. Dey, G.S. Agarwal, Phys. Rev. A 76, 015802 (2007)

    Article  ADS  Google Scholar 

  37. A. Iqbal, N. Khan, B.A. Bacha, A.U. Rahman, A. Ahmad, Phys. Lett. A 381, 3134 (2017)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Bakht Amin Bacha.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bacha, B.A., Khan, T., Khan, N. et al. The hybrid mode propagation of surface plasmon polaritons at the interface of graphene and a chiral medium. Eur. Phys. J. Plus 133, 509 (2018). https://doi.org/10.1140/epjp/i2018-12386-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/i2018-12386-1

Navigation