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By analyzing dielectric cube with high permittivity based on dielectric resonator theory, a new approach to the analyzing of left-handed metamaterials simultaneously with negative permittivity and negative permeability is proposed. The approach indicates that dipoles with Lorentz-type resonance electromagnetic responses can realize negative effective parameters in their negative resonant region. The dipole originates from standing wave in high permittivity dielectric cube. By combining electric dipole with magnetic dipole together, the interaction between two kinds of dipoles will destroy the standing wave and realize a left-handed passband. Numerical simulations indicate that by combining dielectric cubes with same sizes but different permittivities together, the electric resonant frequency and the magnetic resonant frequency can be coincident. Finally, experiments are carried out to verify the feasibility of all-dielectric left-handed metamaterial constructed by this means.
[1] Veselago V G. 1968 Phys. Usp. 10 509
[2] Smith D R, Padilla W J, Vier D C, Nemat-Nasser S C, Schultz S 2000 Phys. Rev. Lett. 84 4184
[3] Pendry J B, Holden A J, Robbins D J, Stewart W J 1999 IEEE Trans. Microw. Theory Tech. 47 2075
[4] Xi S, Chen H, Wu B I, Kong J A 2008 Progress in Electromagnetics Research. 84 279
[5] Ran L,Huangfu J, Chen H, Zhang X, Cheng K, Grzegorczyk T M, Kong J A 2005 Progress in Electromagnetics Research 51 249
[6] Yang Y M, Qu S B 2009 Acta Phys. Sin. 58 1031(in Chinese) [杨一鸣、屈绍波 2009 物理学报 58 1031]
[7] Zhao S C, Liu Z D,Wu Q X 2010 Chin. Phys. B 19 014211
[8] Ma H, Qu S B, Xie F, Xu Z, Zhang S 2009 Acta Phys. Sin. 58 3961(in Chinese) [马 华、屈绍波、谢 峰、徐 卓、张 松 2009 物理学报 58 3961]
[9] Wang J F,Qu S B, Ma H, Xu Z, Yang Y M, Zhang J Q 2008 Acta Phys. Sin. 57 5015 (in China)
[10] Holloway C L, Kuester E F, Baker-Jarvis J, Kabos P 2003 IEEE Trans. Antennas Propag. 51 2596
[11] Vendik O G, Gashinova M S 2004 Artificial 2004 Microwave Conference, 34th European 3 1209
[12] Zhao Q, Du B, Kang L, Zhao H J, Xie Q, Li B, Zhang X, Zhou J, Li L T, Meng Y G 2008 Appl. Phys. Lett. 92 051106
[13] Xu F, Bai Y, Qiao L J, Zhao H J, Zhou J 2009 Appl. Phys. Lett. 95 114104
[14] Bohren C F, Huffman D R 1983 Absorption and Scattering of Light by Small Particles, Wiley-Interscience, New York
[15] Sihvola A 1999 Electromagnetic Mixing Formulas and Applications, IEE Electromagnetic Waves Series 47 (The Institution of Electrical Engineers, Stevenage, Herts, UK, 1999)
[16] Darko Kajfez, Pierre Guillon 1998 Dielectric Resonators second edition(Atlanta: Noble Publishing Corporation) p9
[17] Chen X D, Tomasz M, Wu B I, Pacheco J, Kong J A 2004 Phys. Rev. E 70 016608
[18] Akram Ahmadi, Hossein Mosallaei 2008 Phy. Rev. B 77 045104
[19] Smith D R, Schultz S, Markos P, Soukoulis C M 2010 Phys. Rev. B 65 195104
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[1] Veselago V G. 1968 Phys. Usp. 10 509
[2] Smith D R, Padilla W J, Vier D C, Nemat-Nasser S C, Schultz S 2000 Phys. Rev. Lett. 84 4184
[3] Pendry J B, Holden A J, Robbins D J, Stewart W J 1999 IEEE Trans. Microw. Theory Tech. 47 2075
[4] Xi S, Chen H, Wu B I, Kong J A 2008 Progress in Electromagnetics Research. 84 279
[5] Ran L,Huangfu J, Chen H, Zhang X, Cheng K, Grzegorczyk T M, Kong J A 2005 Progress in Electromagnetics Research 51 249
[6] Yang Y M, Qu S B 2009 Acta Phys. Sin. 58 1031(in Chinese) [杨一鸣、屈绍波 2009 物理学报 58 1031]
[7] Zhao S C, Liu Z D,Wu Q X 2010 Chin. Phys. B 19 014211
[8] Ma H, Qu S B, Xie F, Xu Z, Zhang S 2009 Acta Phys. Sin. 58 3961(in Chinese) [马 华、屈绍波、谢 峰、徐 卓、张 松 2009 物理学报 58 3961]
[9] Wang J F,Qu S B, Ma H, Xu Z, Yang Y M, Zhang J Q 2008 Acta Phys. Sin. 57 5015 (in China)
[10] Holloway C L, Kuester E F, Baker-Jarvis J, Kabos P 2003 IEEE Trans. Antennas Propag. 51 2596
[11] Vendik O G, Gashinova M S 2004 Artificial 2004 Microwave Conference, 34th European 3 1209
[12] Zhao Q, Du B, Kang L, Zhao H J, Xie Q, Li B, Zhang X, Zhou J, Li L T, Meng Y G 2008 Appl. Phys. Lett. 92 051106
[13] Xu F, Bai Y, Qiao L J, Zhao H J, Zhou J 2009 Appl. Phys. Lett. 95 114104
[14] Bohren C F, Huffman D R 1983 Absorption and Scattering of Light by Small Particles, Wiley-Interscience, New York
[15] Sihvola A 1999 Electromagnetic Mixing Formulas and Applications, IEE Electromagnetic Waves Series 47 (The Institution of Electrical Engineers, Stevenage, Herts, UK, 1999)
[16] Darko Kajfez, Pierre Guillon 1998 Dielectric Resonators second edition(Atlanta: Noble Publishing Corporation) p9
[17] Chen X D, Tomasz M, Wu B I, Pacheco J, Kong J A 2004 Phys. Rev. E 70 016608
[18] Akram Ahmadi, Hossein Mosallaei 2008 Phy. Rev. B 77 045104
[19] Smith D R, Schultz S, Markos P, Soukoulis C M 2010 Phys. Rev. B 65 195104
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