A New Left-Handed Metamaterial Structure Based on Split-Triangle Resonators (STRs)
Keywords:
A New Left-Handed Metamaterial Structure Based on Split-Triangle Resonators (STRs)Abstract
In this paper, small compact split triangle-resonators (STRs) with left-handed metamaterial (LHM) properties is proposed. The parameters of this new resonator are found by using the transfer matrix method and Nicholson- Ross-Weir method. Our results indicate that this structure could be used to realize the refractive index medium. Using the x-direction of the electromagnetic propagation wave, a simultaneous negative permeability and permittivity is obtained. The origin of the negative refractive index is a resonance due to the internal inductance and capacitance of the structure. In addition to simultaneous permittivity and permeability, the copper resonator has the advantage of being positioned on only one side of the FR4 substrate.
Downloads
References
D. R. smith, W. J. Padilla, D. C. Vier, S. C. Nemat-
Nasser, and S. Schultz, “Composite medium with
simultaneously negative permittivity and
permeability”, Phys. Rev. Lett., 84, 4184-4187,
R. Shelby, D. R. Smith, and S. Schultz,
“Experimental Verification of a Negative Index of
Refraction”, Science 292, pp. 77-79, 2001.
J. B. Pendry, “NegativeRefraction Makes a
Perfect Lens,” Phys. Rev. Lett., vol. 85, 3966-
, 2000.
I. V. Lindell, S. A. Tretyakov, K.I. Nikoskinen,
and S. Ilvonen, “BW Media withNegative
Parameters, Capable of Supporting Backward
Waves,” Micr. Opt. Tech. Lett., 31, pp. 129-133,
G. Monti andL. Tarricone, “Dispersion Analysis
of a Negative Group Velocity Medium with
MATLAB,” Applied Computational
Electromagnetic Society (ACES) Journal, vol. 24,
no. 5, pp. 478-486, October 2009.
J. Lu, T.M. Grzegorczyk, Y. Zhang, J. Pacheco,
B.-I. Wu, J.A. Kong, and M. Chen, “Cerenkov
Radiation in Materials with Negative Permittivity
and Permeability,” Optics Express, vol. 11, pp.723-
, 2003.
N. Engheta, “AnIdea for Thin Subwavelength
Cavity Resonators using Metamaterials with
Negative Permittivity and Permeability,” IEEE
Antennas Wireless Propagation Letters, vol. 1, pp.
-13, 2002.
W. J. Smith, D. C. Padilla, S. C. Vier, Nemat-
Nasser, and S. Schultz, “CompositeMedium with
Simultaneously Negative Permeability and
Permittivity,” Phys. Rev. Lett., vol. 84, no. 18,
-4187, 2000.
C. Caloz and T. Itoh, Electromagnetic
Metamaterials: Transmission Line Theory and
ABESSOLO, AKNIN, MOUSSAOUI: LEFT-HANDED METAMATERIAL STRUCTURE BASED ON SPLIT-TRIANGLE RESONATORS
Microwave Applications, Piscataway, NJ: Wiley-
IEEE, 2005.
J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J.
Stewart, “Magnetism from Conductors, and
Enhanced,” IEEE Trans. on Microwave Theory
and Techniques, vol. 47, no. 11, November 1999.
V. G. Veselago, “The Electrodynamics of
Substances with Simultaneously Negative Values
of
ε and
μ ,” Sov. Phys. Uspekhi, vol. 10, pp. 509-
, Jan.-Feb. 1968.
C. R. Simovski and S. L. He , “FrequencyRange
and Explicit Expressions for Negative Permittivity
and Permeability for an Isotropic Medium Formed
by a Lattice of Perfectly Conducting Omega
Particles,” Phys. Lett., A, 311, 254, 2003.
L. Ran, J. Huangfu, H. Chen, Y. Li, X. Zhang, K.
Chen, and J. A. Kong, “Microwave Solid-State
Left-Handed Material with a Broad Bandwidth and
an Ultralow Loss,” Phys. Rev. B, vol. 70, 073102,
B. D. Braaten, R. P. Scheeler, M. Reich, R. M.
Nelson, C. Bauer-Reich, J. Glower,and G. J.
Owen, “Compact Metamaterial-Based UHF RFID
Antennas: Deformed Omega and Split-Ring
Resonator Structures,” Applied Computational
Electromagnetic Society (ACES) Journal, vol. 25,
no. 6, pp. 530-542, June 2010.
M. Kafesaki, I. Tsiapa, N. Katsarakis, Th.
Koschny, C. M. Soukoulis, and E. N. Economou,
“Left-Handed Metamaterials: The Fishnet
Structure and its Variations,” Phys. Rev. B, vol. 75,
, 2007.
W. B. Weir, “Automatic measurement of complex
dielectric constant and permeability at microwave
frequencies”, Proc. IEEE, vol.62, no.1, pp. 33-36,
Jan. 1974.
A. M. Nicholson and G. F. Ross, “Measurement of
the intrinsic properties of materials by time domain
techniques”, IEEE Trans. Instrum. Meas., IM-19,
pp. 377-382, 1970.
D. R. Smith, D. C. Vier, Th. Koschny, and C. M.
Soukoulis, “Electromagnetic Parameter Retrieval
from Inhomogeneous Metamaterials”, Foundation
for Research and Technology Hellas (FORTH),
Heraklion, Crete, Greece, March 2005.
D. R. Smith, S. Schultz, P. Markoš, and C. M.
Soukoulis, “Determination of effective permittivity
and permeability of metamaterials from reflection
and transmission coefficients”,Phys. Rev. B, vol.
, 195104, 2002.
D. M. Pozar,Microwave Engineering, 2nd eds.
John Wiley & Sons, New York, p. 211, 1998.
H. Bahrami and M. Hakkak, “Analysis and Design
of Highly Compact Band-Pass Waveguide Filter
Utilizing Complementary Split Ring Resonator
(CSRR),” Progress In Electromagnetics Research,
vol. 80, pp. 107–122, 2008.
Michel A. Abaga Abessolo, A. El Moussaoui,and
N. Aknin, “Dual-Band Monopole Antenna with
Omega Particles for Wireless Applications,”
Progress In Electromagnetics Research Letters,
vol. 24, pp. 27-34, 2011.
Z. Duan, S. Qu, and Y. Hou, “Electrically Small
Antenna Inspired by Spired Split Ring Resonator,"
Progress In Electromagnetics Research Letters,
vol. 7, pp. 47-57, 2009.
G. Du, X. Tang, and F. Xiao, “Tri-Band
Metamaterial-Inspired Monopole Antenna with
Modified S-Shaped Resonator,” Progress In
Electromagnetics Research Letters, vol. 23, pp. 39-
, 2011.
U. K. Chettiar, A. V. Kildishev, H.-K. Yuan, W.
Cai, S. Xiao, V. P. Drachev, and V. M. Shalaev,
“Double Negative Index Metamaterial:
Simultaneous Negative Permeability and
Permittivity at 812 nm”, Optical Society of
America, 2007.
X.-C. Zhang, Z.-Y. Yu, and J. Xu, “NouvelBand-
Pass Substrate Integrated Waveguide (SIW) Filter
Based on Complementary Split Ring Resonators
(CSRRS),” Progress In Electromagnetics
Research, vol. 72, pp. 39-46, 2007.
H. Chen, L. Ran, J. Huangfu, X. Zhang, and K.
Chen, “Left-Handed Materials Composed of Only
S-Shaped Resonators,” Phys. Rev. E, vol. 70,
, 2004.
J. B. Pendry,“Calculating Photonic Band
Structure”, J. Phys. Condens. Matter, vol. 8, pp.
-1108, Feb 1996.
