Skip to main content
Log in

A spatial filter bank model of the Veselago–Pendry superlens

  • Published:
Applied Physics A Aims and scope Submit manuscript

Abstract

We present a canonical filter bank model that emulates the transmission of both propagating and evanescent electromagnetic fields through a Veselago–Pendry Superlens. The model consists of an array of coupled resonator pairs; each pair transmits one term of the spatial Fourier series of the object field. In addition to emulating the steady-state transfer function of the superlens, the model also approximates its dynamic response. Closed-form expressions for the values of the circuit elements are derived in terms of the geometry and the constitutive parameters of the lens at the frequency of operation in the steady state. Losses can be included by adding dissipative elements to the equivalent circuit. The concept of the Veselago–Pendry superlens as a filter in k-space provides physical insight into the resonant nature of image transmission and may suggest new ways to realize such a device.

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

Similar content being viewed by others

References

  1. V.G. Veselago, The electrodynamics of substances with simultaneously negative values of ε and μ. Sov. Phys. Usp. 10(4), 509–514 (1968)

    Article  ADS  Google Scholar 

  2. J.B. Pendry, Negative refraction makes a perfect lens. Phys. Rev. Lett. 85(18), 3966–3969 (2000)

    Article  ADS  Google Scholar 

  3. R.S. Hegde, Zs Szabo, Y.L. Hor, Y. Kiasat, E.P. Li, W.J.R. Hoefer, The dynamics of nanoscale superresolution imaging with the superlens. IEEE Trans. Microw. Theory Tech. 59(10), 2612–2623 (2011)

    Article  ADS  Google Scholar 

  4. W.H. Wee, J.B. Pendry, Universal evolution of perfect lenses. Phys. Rev. Lett. 106, 165503-1–165503-4 (2011)

    Article  ADS  Google Scholar 

  5. R.S. Hegde, Y.L. Hor, W.J.R. Hoefer, A microwave engineering perspective of the superlens. Appl. Phys. A 109, 831–834 (2012)

    Article  ADS  Google Scholar 

  6. R. Hegde, Y. L. Hor, Zs. Szabo, E. P. Li, W. J. R. Hoefer, Veselago-Pendry Superlens Imaging Modeled with a Spectral Waveguide Approach, in XXX URSI General Assembly & Scientific Symposium Dig., paper #DB1.1, Istanbul, Turkey, 13–20 Aug 2011

  7. F. D. M. Haldane, Electromagnetic surface modes at interface with negative refractive index make a ‘not-quite-perfect’ lens, Cond. Matt., 0206420 (2002)

  8. R. Ruppin, Surface polariton of the left-handed medium. Phys. Lett. A 277, 61–64 (2000)

    Article  ADS  Google Scholar 

  9. G. Gmez-Santos, Universal features of the time evolution of evanescent modes in a left-handed perfect lens. Phys. Rev. Lett. 90(7), 077401-1–077401-4 (2003)

    ADS  Google Scholar 

  10. A. Alu, N. Engheta, Physical insight into the “growing” evanescent fields of double-negative metamaterial lenses using their circuit equivalence. IEEE Trans. Antennas Propag. 54(1), 268–272 (2006)

    Article  ADS  Google Scholar 

  11. P.M. So, H. Du, W.J.R. Hoefer, Modeling of metamaterials with negative refractive index using 2D-shunt and 3D-SCN TLM networks. IEEE Trans. Microw. Theory Techn. 53(4), 1496–1505 (2005)

    Article  ADS  Google Scholar 

  12. V.V. Tyurnev, Coupling coefficients of resonators in microwave filter theory. prog. Electromagn. Res. B 21, 47–67 (2010)

    Google Scholar 

  13. M. Beruete, I. Campillo, M. Navarro-Ca, F. Falcone, M.S. Ayza, Molding left- or right-handed metamaterials by stacked cutoff metallic hole arrays. IEEE Trans. Microw. Theory Techn. 55(6), 1514–1521 (2007)

    Google Scholar 

  14. T.W. Ebbesen, H.F. Ghaemi, T. Thio, P.A. Wolff, Extraordinary optical transmission through sub-wavelength hole arrays. Nature 391, 667–669 (1998)

    Article  ADS  Google Scholar 

  15. V.M. Shalaev, Optical negative-index metamaterials. Nat. Photonics 1, 41–48 (2007)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ravi S. Hegde.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Hegde, R.S., Hor, Y.L. & Hoefer, W.J.R. A spatial filter bank model of the Veselago–Pendry superlens. Appl. Phys. A 120, 25–33 (2015). https://doi.org/10.1007/s00339-015-9152-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00339-015-9152-x

Keywords

Navigation