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.
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References
V.G. Veselago, The electrodynamics of substances with simultaneously negative values of ε and μ. Sov. Phys. Usp. 10(4), 509–514 (1968)
J.B. Pendry, Negative refraction makes a perfect lens. Phys. Rev. Lett. 85(18), 3966–3969 (2000)
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)
W.H. Wee, J.B. Pendry, Universal evolution of perfect lenses. Phys. Rev. Lett. 106, 165503-1–165503-4 (2011)
R.S. Hegde, Y.L. Hor, W.J.R. Hoefer, A microwave engineering perspective of the superlens. Appl. Phys. A 109, 831–834 (2012)
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
F. D. M. Haldane, Electromagnetic surface modes at interface with negative refractive index make a ‘not-quite-perfect’ lens, Cond. Matt., 0206420 (2002)
R. Ruppin, Surface polariton of the left-handed medium. Phys. Lett. A 277, 61–64 (2000)
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)
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)
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)
V.V. Tyurnev, Coupling coefficients of resonators in microwave filter theory. prog. Electromagn. Res. B 21, 47–67 (2010)
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)
T.W. Ebbesen, H.F. Ghaemi, T. Thio, P.A. Wolff, Extraordinary optical transmission through sub-wavelength hole arrays. Nature 391, 667–669 (1998)
V.M. Shalaev, Optical negative-index metamaterials. Nat. Photonics 1, 41–48 (2007)
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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
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DOI: https://doi.org/10.1007/s00339-015-9152-x