Metamaterials are artificial multifunctional materials that acquire their material properties from their structure, rather than inheriting them directly from the materials they are composed of, and they may provide novel tools to significantly enhance the sensitivity and resolution of sensors. In this paper, we derive the dispersion relation of a cylindrical dielectric waveguide loaded on a negative permeability metamaterial (NPM) layer, and compute the resonant frequencies and electric field distribution of the corresponding Whispering-Gallery-Modes (WGMs). The theoretical resonant frequency and electric field distribution results are in good agreement with the full wave simulation results. We show that the NPM sensor based on a microring resonator possesses higher sensitivity than the traditional microring sensor since with the evanescent wave amplification and the increase of NPM layer thickness, the sensitivity will be greatly increased. This may open a door for designing sensors with specified sensitivity.
References
[1]
Pendry, JB. Negative refraction makes a perfect lens. Phys. Rev. Lett 2000, 85, 3966–3969.
Jak？i？, Z; Djuri？, Z; Kment, C. A consideration of the use of metamaterials for sensing applications: Field fluctuations and ultimate performance. J. Opt. A 2007, 9, S377.
[8]
He, S; Jin, Y; Ruan, ZC; Kuang, JG. On subwavelength and open resonators involving metamaterials of negative refraction index. New J. Phys 2005, 7, 210.
[9]
Melik, R; Unal, E; Perkgoz, NK; Puttlitz, C; Demir, HV. Metamaterial based telemetric strain sensing in different materials. Opt. Express 2010, 18, 5000–5007.
[10]
Lee, HJ; Yook, JG. Biosensing using split-ring resonators at microwave regime. Appl. Phys. Lett 2008, 92, 254103.
[11]
Cubukcu, E; Zhang, S; Park, YS; Bartal, G; Zhang, X. Split ring resonator sensors for infrared detection of single molecular monolayers. Appl. Phys. Lett 2009, 95, 043113.
[12]
Alù, A; Engheta, N. Dielectric sensing in ε-near-zero narrow waveguide channels. Phys. Rev. B 2008, 78, 045102.
[13]
Shreiber, D; Gupta, M; Cravey, R. Comparative study of 1-D and 2-D metamaterial lens for microwave nondestructive evaluation of dielectric materials. Sens. Actuat. A 2010, 165, 256–260.
[14]
Zheludev, NI. The road ahead for metamaterials. Science 2010, 328, 582–583.
[15]
Huang, M; Yang, JJ; Sun, J; Shi, JH; Peng, JH. Modelling and analysis of Ω-shaped double negative material-assisted microwave sensor. J. Infrared Millimeter Terahertz Waves 2009, 30, 1131–1138.
[16]
Yang, JJ; Huang, M; Xiao, Z; Peng, JH. Simulation and analysis of asymmetric metamaterial resonator-assisted microwave sensor. Mod. Phys. Lett. B 2010, 24, 1207–1215.
[17]
Huang, M; Yang, JJ. Microwave sensor using metamaterials. In Wave Propagation; Petrin, A, Ed.; In-tech Press: Vienna, Austria, 2011. Chapter 2; pp. 13–36.
Ma, Q; Rossmann, T; Guo, Z. Whispering-gallery mode silica microsensors for cryogenic to room temperature measurement. Meas. Sci. Technol 2010, 21, 025310.
[28]
Passaro, VMN; Dell’Olio, F; de Leonardis, F. Ammonia optical sensing by microring resonators. Sensors 2007, 7, 2741–2749.
[29]
Orghici, R; Lützow, P; Burgmeier, J; Koch, J; Heidrich, H; Schade, W; Welschoff, N; Waldvogel, SA. Microring resonator sensor for sensitive detection of 1,3,5-Trinitrotoluene (TNT). Sensors 2010, 10, 6788–6795.
[30]
Yeh, C; Shimabukuro, F. The Essence of Dielectric Waveguides; Springer: New York, NY, USA, 2008; pp. 137–177.
[31]
Heebner, J; Grover, R; Ibrahim, T; Ibrahim, T. Optical Microresonators: Theory, Fabrication, and Applications; Springer: New York, NY, USA, 2008; pp. 9–70.
