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Analog study of near-field focusing and subwavelength imaging with nonlinear transmission-line metamaterial

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Abstract

In this paper, we report an analog study of realizing near-field focusing and near-perfect imaging at harmonic frequencies using a two-dimensional (2D) left-handed nonlinear transmission line (LH NLTL) metamaterial. Firstly, we give a detailed procedure of designing LH NLTL and right-handed (RH) transmission line media that match with each other at harmonics. Then, through microwave circuit simulations, we observe strong surface waves at the boundaries between RH and LH NLTL metamaterials, which are consistent with the theoretical analysis of an LH linear superlens. Finally, we show that the LH NLTL metamaterial can act as a flat nonlinear lens that can create, with a subwavelength resolution, an image of harmonic fields of the source which is opaque at the fundamental frequency.

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References

  1. Pendry J B. Negative refraction makes a perfect lens. Phys Rev Lett, 2000, 85: 3966–3969

    Article  Google Scholar 

  2. Zharov A A, Zharova N A, I V Shadrivov, et al. Subwavelength imaging with opaque nonlinear left-handed lenses. Appl Phys Lett, 2005, 87: 091104

    Article  Google Scholar 

  3. Ciracì C, Centeno E. Focusing of second-harmonic signals with nonlinear metamaterial lenses: a biphotonic microscopy approach. Phys Rev Lett, 2009, 103: 063901

    Article  Google Scholar 

  4. Rose A, Smith D R. Broadly tunable quasi-phase-matching in nonlinear metamaterials. Phys Rev A, 2011, 84: 013823

    Article  Google Scholar 

  5. Armstrong J A, Bloembergen N, Ducuing J, et al. Interactions between light waves in a nonlinear dielectric. Phys Rev, 1962, 127: 1918–1939

    Article  Google Scholar 

  6. Franken P A, Ward J F. Optical harmonics and nonlinear phenomena. Rev Mod Phys, 1963, 35: 23–39

    Article  MATH  Google Scholar 

  7. Smith D R, Pendr J B Y, Wiltshir M C K E. Metamaterials and negative refractive index. Science, 2004, 305: 788–792

    Article  Google Scholar 

  8. Eleftheriades G V, Iyer A K, Kremer P C. Planar negative refractive index media using periodically L-C loaded transmission lines. IEEE Trans Microwave Theory Tech, 2002, 50: 2702–2712

    Article  Google Scholar 

  9. Shahvarpour A, Gupta S, Caloz C. Schrödinger solitons in left-handed SiO2-Ag-SiO2 and Ag-SiO2-Ag plasmonic waveguides calculated with a nonlinear transmission line approach. J Appl Phys, 2008, 104: 124510

    Article  Google Scholar 

  10. Kozyrev A B, Kim H, Karbass Ai, et al. Wave propagation in nonlinear left-handed transmission line media. Appl Phys Lett, 2005, 87: 121109

    Article  Google Scholar 

  11. Kozyrev A B, van der Weide D W. Nonlinear wave propagation phenomena in left-handed transmission-line media. IEEE Trans Microwave Theory Tech, 2005, 53: 238–245

    Article  Google Scholar 

  12. Gao C, Chen Z N, Wang Y Y, et al. Study on relationships of electromagnetic band gap structures and left/right handed Structures. Sci China Ser F-Inf Sci, 2007, 50: 251–260

    Article  MATH  Google Scholar 

  13. Grbic A, Eleftheriades G V. Periodic analysis of a 2-D negative refractive index transmission-line structure. IEEE Trans Antennas Propag, 2003, 51: 2604–2611

    Article  Google Scholar 

  14. Grbic A, Eleftheriades G V. Sub-wavelength focusing using a negative-refractive-index transmission-line lens. IEEE Antennas Wirel Propag Lett, 2003, 2: 186–189

    Google Scholar 

  15. Cui T J, Cheng Q, Huang Z Z, et al. Electromagnetic wave localization using a left-handed transmission-line superlens. Phys Rev B, 2005, 72: 035112

    Article  Google Scholar 

  16. Cui T J, Cheng Q, Lu W B, et al. Localization of electromagnetic energy using a left-handed-medium slab. Phys Rev B, 2004, 71: 045114

    Article  Google Scholar 

  17. Feng Y J, Zhao J M, Teng X H, et al. Subwavelength imaging with compensated anisotropic bilayers realized by transmission-line metamaterials. Phys Rev B, 2007, 75: 155107

    Article  Google Scholar 

  18. Feng Y J, Teng X H, Wang Z B, et al. Extraordinary transmission in planar waveguide loaded with anisotropic metamaterials. J Appl Phys, 2009, 105: 034912

    Article  Google Scholar 

  19. Wang Z Y, Luo Y, Liang P, et al. Second-harmonic generation and spectrum modulation by an active nonlinear metamaterial. Appl Phys Lett, 2009, 94: 134102

    Article  Google Scholar 

  20. Wang Z B, Feng Y J, Zhu B, et al. Dark Schrödinger solitons and harmonic generation in left-handed nonlinear transmission line. J Appl Phys, 2010, 107: 094907

    Article  Google Scholar 

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Correspondence to YiJun Feng.

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Wang, Z., Feng, Y., Zhao, J. et al. Analog study of near-field focusing and subwavelength imaging with nonlinear transmission-line metamaterial. Sci. China Inf. Sci. 56, 1–8 (2013). https://doi.org/10.1007/s11432-013-5032-1

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  • DOI: https://doi.org/10.1007/s11432-013-5032-1

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