Skip to main content
SpringerLink
Log in

Analysis of Stacked Structures Composed of Arrays of Thick Slits: an Accurate Analytical Circuit Model

  • Published:
Plasmonics Aims and scope Submit manuscript

Abstract

In this paper, a stacked structure composed of periodic arrays of one-dimensional thick slits embedded in a conventional dielectric medium is investigated in the subwavelength regime. Arrays of thick slits are known to support extraordinary transmission resonances. When periodically embedded in multilayered structures, they demonstrate band gap properties, which can produce flat passband regions in some structures, applicable to filter designs. In addition, by adjusting the parameters of the structures, they can be designed to create epsilon-near-zero and negative permittivity metamaterials. The analysis is carried out based on a simple and accurate analytical solution. The employed circuit model includes a transmission line corresponding to the slits, terminated by two surface admittances at the interfaces. The surface admittances assume the role of the diffractive modes and dominate the limitations of the usual analytical surface admittances obtained through heuristic approaches. A Π network of lumped elements equivalent to this circuit model is introduced in the present paper. This network helps to find the source of extraordinary resonances. Finally, the electromagnetic wave transmission through the stacked structure is studied and the effects of the thickness of the slits and dielectric slabs on the transmission spectra are analyzed. The results are compared to those obtained by full wave simulations, showing good agreement.

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
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

References

  1. Molero C, Rodrıguez-Berral R, Mesa F, Medina F, Yakovlev AB (2016) Wideband analytical equivalent circuit for one-dimensional periodic stacked arrays. Phys Rev E 93(1):013306. https://doi.org/10.1103/PhysRevE.93.013306

    Article  CAS  PubMed  Google Scholar 

  2. Barzegar-Parizi S (2016) Study of backward waves in multilayered structures composed of graphene microribbons. J Appl Phys 119(19):193105. https://doi.org/10.1063/1.4949510

    Article  CAS  Google Scholar 

  3. Kaipa CSR, Yakovlev AB, Medina F, Mesa F, Butler CAM, Hibbins AP (2010) Circuit modeling of the transmissivity of stacked two-dimensional metallic meshes. Opt Express 18(13):13309–13320. https://doi.org/10.1364/OE.18.013309

    Article  CAS  PubMed  Google Scholar 

  4. Padooru YR, Yakovlev AB, Kaipa CS, Hanson GW, Medina F, Mesa F (2013) Dual capacitive-inductive nature of periodic graphene patches: transmission characteristics at low-terahertz frequencies. Phys Rev B 87(11):115401. https://doi.org/10.1103/PhysRevB.87.115401

    Article  CAS  Google Scholar 

  5. Barzegar-Parizi S, Tavakol MR, Khavasi A (2017) Deriving surface impedance for 2-D arrays of graphene patches using a variational method. IEEE J Quantum Electron 53:7000106

    Article  Google Scholar 

  6. Li M, Behdad N (2013) Frequency selective surfaces for pulsed high-power microwave applications. IEEE Trans Antennas Propagat 61:677–687

    Article  Google Scholar 

  7. Arik K, Abdollahramezani S, Farajollahi S, Khavasi A, Rejaei B (2016) Design of mid-infrared ultra-wideband metallic absorber based on circuit theory. Opt Commun 381:309–313. https://doi.org/10.1016/j.optcom.2016.07.014

    Article  CAS  Google Scholar 

  8. Luukkonen O, Simovski C, Granet G, Goussetis G, Lioubtchenko D, Raisanen AV, Tretyakov SA (2008) Simple and accurate analytical model of planar grids and high-impedance surfaces comprising metal strips or patches. IEEE Trans Antennas Propag 56(6):1624–1632. https://doi.org/10.1109/TAP.2008.923327

    Article  Google Scholar 

  9. Medina F, Mesa F, Skigin DC (2010) Extraordinary transmission through arrays of slits: a circuit theory model. IEEE Trans Microw Theory Tech 58(1):105–115. https://doi.org/10.1109/TMTT.2009.2036341

    Article  Google Scholar 

  10. Yang R, Rodríguez-Berral R, Medina F, Hao Y (2011) Analytical model for the transmission of electromagnetic waves through arrays of slits in perfect conductors and lossy metal screens. J Appl Phys 109(10):103107. https://doi.org/10.1063/1.3583561

    Article  CAS  Google Scholar 

  11. Yarmoghaddam E, Shirmanesh GK, Khavasi A, Mehrany K (2014) Circuit model for periodic array of slits with multiple propagating diffracted orders. IEEE Trans Antennas Propagat 62(8):4041–4048. https://doi.org/10.1109/TAP.2014.2322884

    Article  Google Scholar 

  12. Medina F, Mesa F, Marqués R (2008) Extraordinary transmission through arrays of electrically small holes from a circuit theory perspective. IEEE Trans Microw Theory Tech 56(12):3108–3120. https://doi.org/10.1109/TMTT.2008.2007343

    Article  Google Scholar 

  13. Shirmanesh GK, Yarmoghaddam E, Khavasi A, Mehrany K (2015) Circuit model in design of THz transparent electrodes based on two-dimensional arrays of metallic square holes. IEEE Trans Terahertz Sci Technol 5:655–656

    Article  Google Scholar 

  14. Garcia-Vidal FJ, Martin-Moreno L, Pendry JB (2005) Surfaces with holes in them: new plasmonic metamaterials. J Opt Pure Appl Opt 7(2):S97–S101. https://doi.org/10.1088/1464-4258/7/2/013

    Article  Google Scholar 

  15. D’Aguanno G, Mattiucci N, Alù A, Argyropoulos C, Foreman JV, Bloemer MJ (2012) Thermal emission from a metamaterial wire medium slab. Opt Exp 20(9):9784–9789. https://doi.org/10.1364/OE.20.009784

    Article  Google Scholar 

  16. Rodriguez-Berral R, Medina F, Mesa F, García-Vigueras M (2012) Quasi-analytical modeling of transmission/reflection in strip/slit gratings loaded with dielectric slabs. IEEE Trans Microw Theory Tech 60(3):405–418. https://doi.org/10.1109/TMTT.2011.2181186

    Article  Google Scholar 

  17. Rodrguez-Berral R, Medina F, Mesa F (2010) Circuit model for a periodic array of slits sandwiched between two dielectric slabs. Appl Phys Lett 96(16):161104. https://doi.org/10.1063/1.3405721

    Article  CAS  Google Scholar 

  18. Barzegar-Parizi S, Rejaei B, Khavasi A (2015) Analytical circuit model for periodic arrays of graphene disks. IEEE J Quantum Electron 51:7000507

    Article  Google Scholar 

  19. Woo DW, Muhn SJ, Park WS (2012) Simple analytical model of propagation through thick periodic slot. IEEE Trans Antennas Propagat 60(11):5329–5335. https://doi.org/10.1109/TAP.2012.2208443

    Article  Google Scholar 

  20. Shirmanesh GK, Khavasi A, Mehrany K (2015) Accurate effective medium theory for arrays of metallic nanowire. J Opt 17(2):025104. https://doi.org/10.1088/2040-8978/17/2/025104

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Electrical Engineering, Sirjan University of Technology, 7813733385, Sirjan, Iran

    Saeedeh Barzegar-Parizi

Authors
  1. Saeedeh Barzegar-Parizi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Saeedeh Barzegar-Parizi.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Barzegar-Parizi, S. Analysis of Stacked Structures Composed of Arrays of Thick Slits: an Accurate Analytical Circuit Model. Plasmonics 13, 1711–1719 (2018). https://doi.org/10.1007/s11468-017-0683-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11468-017-0683-1

Keywords

Search

Navigation