Skip to main content
Log in

Analysis of Multiple Surface Electromagnetic Waves on the Planner Interface of Hyperbolic Medium and Rugate Filter Having Sinusoidal Refractive Index Profile

  • Published:
Plasmonics Aims and scope Submit manuscript

Abstract

This paper presents a canonical boundary value problem to understand the behavior of electromagnetic surface waves propagated on the planar interface of rugate filter and hyperbolic material. The electromagnetic surface waves are generated on the planar interface of two different materials. The hyperbolic materials constructed by making a dyadic negative in columnar thin films. Multiple electromagnetic surface waves were investigated by varying phase of rugate filter form 0 to 180° and wavelength of incident light from 400 to 700 nm. Material’s manufacturing fault is also introduced by adding 0.001 i in refractive index of hyperbolic medium.Propagation of multiple electromagnetic waves were observed on the planar interface of rugate filter and hyperbolic material. In order to verify the existence of surface electromagnetic waves at the interface of hyperbolic medium and rugate filter, electric and, magnetic fields are plotted for different material specifications.

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

Similar content being viewed by others

References

  1. De Fornel F (2001) Evanescent waves: from Newtonian optics to atomic optics, vol 73. Springer Science & Business Media

  2. Polo J, Mackay T, Lakhtakia A (2013) Electromagnetic surface waves: a modern perspective. Newnes

  3. Pitarke JM, Silkin VM, Chulkov EV, Echenique PM (2006) Theory of surface plasmons and surface-plasmonpolaritons. Rep Prog Phys 70(1):1

    Article  Google Scholar 

  4. Abdulhalim I, Zourob M, Lakhtakia A (2008) Surface plasmon resonance for biosensing: a mini-review. Electromagnetics 28(3):214–242

    Article  Google Scholar 

  5. Marchevskii FN, Strizhevskii VL, Strizhevskii SV (1984) Singular electromagnetic-waves in bounded anisotropic media. FizikaTverdogoTela 26(5):1501–1503

    Google Scholar 

  6. Surdo S, Merlo S, Carpignano F, Strambini LM, Trono C, Giannetti A, Barillaro G (2012) Optofluidic microsystems with integrated vertical one-dimensional photonic crystals for chemical analysis. Lab Chip 12(21):4403–4415

    Article  CAS  Google Scholar 

  7. Kilian KA, Lai LM, Magenau A, Cartland S, Böcking T, Di Girolamo N et al (2009) Smart tissue culture: in situ monitoring of the activity of protease enzymes secreted from live cells using nanostructured photonic crystals. Nano Lett 9(5):2021–2025

    Article  CAS  Google Scholar 

  8. Poddubny A, Iorsh I, Belov P, Kivshar Y (2013) Hyperbolic metamaterials. Nat Photonics 7(12):948–957

    Article  CAS  Google Scholar 

  9. Manzoor HU, Maab H, Faryad M (2017) Multiple surface electromagnetic waves guided by the planar interface of a rugate filter and a hyperbolic columnar thin film. Optik 143:211–215

    Article  Google Scholar 

  10. Maab H, Manzoor HU, Faryad M (2015) Dyakonov–Tamm waves guided by the planar interface of a rugate filter and a columnar thin film. J Electromagnet Wave Appl 29(16):2155–2162

    Article  Google Scholar 

  11. Manzoor H, Manzoor T, Saleem S, Manzoor S, Hussain M (2018) Analysis of Bloch surface waves at the Interface between two semi-infinite rugate filters with symmetric refractive index profiles. Plasmonics 13(6):2319–2328

  12. Manzoor HU, Manzoor T, Hussain M, Manzoor S, Nazar K (2018) Multiple Bloch surface waves in visible region of light at the interfaces between rugate filter/rugate filter and rugate filter/dielectric slab/rugate filter. J Opt 20(4):045002

    Article  Google Scholar 

  13. Jaluria Y (1996) Computer methods for engineering. Taylor & Francis, Inc

  14. Baumeister P (2004) Optical coating technology: lecture notes for the five-day short course engineering 823. 17 at the UCLA extension

    Book  Google Scholar 

  15. Hodgkinson I, hong Wu Q, Hazel J (1998) Empirical equations for the principal refractive indices and column angle of obliquely deposited films of tantalum oxide, titanium oxide, and zirconium oxide. Appl Opt 37(13):2653–2659

    Article  CAS  Google Scholar 

  16. Mackay TG (2015) Toward optical sensing with hyperbolic metamaterials. Opt Eng 54(6):067102

    Article  Google Scholar 

  17. Sreekanth KV, De Luca A, Strangi G (2013) Experimental demonstration of surface and bulk plasmonpolaritons in hypergratings. Sci Rep 3:3291

    Article  Google Scholar 

  18. Sreekanth KV, Alapan Y, ElKabbash M, Ilker E, Hinczewski M, Gurkan UA et al (2016) Extreme sensitivity biosensing platform based on hyperbolic metamaterials. Nat Mater 15(6):621–627

    Article  CAS  Google Scholar 

  19. Boardman AD, Egan P, McCall M (2015) Optic axis-driven new horizons for hyperbolic metamaterials. EPJ Appl Metamater 2:11

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Tareq Manzoor.

Additional information

Publisher’s Note

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

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Manzoor, H.U., Manzoor, T. & Hussain, M. Analysis of Multiple Surface Electromagnetic Waves on the Planner Interface of Hyperbolic Medium and Rugate Filter Having Sinusoidal Refractive Index Profile. Plasmonics 15, 287–291 (2020). https://doi.org/10.1007/s11468-019-01038-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11468-019-01038-0

Keywords

Navigation