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Dielectric resonator is a kind of important building block for metamaterials. Here, we numerically investigated the resonance modes excited in the dielectric resonator whose cross section has different ratios of the length to width. It is found that the cross-sectional aspect ratio has great influence on the excitation sequence of the resonance modes. The magnetic resonance mode is firstly excited for the aspect ratio smaller than 2.2, whereas it is excited at the second resonance for the ratio lager than 2.2. As the turning point, i. e. with the aspect ratio of 2.2, the magnetic mode cannot be achieved. The calculations also show that the magnetic resonance can be tuned by adjusting the direction of the incident electromagnetic wave, thus achieving the polarization control of electromagnetic response. This study provides valuable information for the design and research of novel dielectric-based metamaterials.
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Keywords:
- dielectric resonators /
- metamaterials /
- resonance
[1] Shalaev V M 2007 Nat. Photonics 1 41
[2] Veselago G, Narimanov E E 2006 Nat. Mater. 5 759
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[4] Huangfu J T, Ran L X, Chen H S, Zhang X M, Chen K S, Grzegorczyk T M, Kong J A 2004 Appl. Phys. Lett. 84 1537
[5] Zhou J, Koschny T, Zhang L, Tuttle G, Soukoulis C 2006 Appl. Phys. Lett. 88 221103
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[7] Chen H, Ran L, Huangfu J, Zhang X, Chen K, Grzegorczyk T M, Kong J A 2004 Phys. Rev. E 70 57605
[8] Yang Y M, Qu S B, Wang J F, Xu Z 2009 Acta Phys. Sin. 58 1031 (in Chinese) [杨一鸣、屈绍波、王甲富、徐 卓 2009 58 1031]
[9] Zhang S, Qu S B, Ma H, Xie F, Xu Z 2009 Acta Phys. Sin. 58 3961 (in Chinese) [张 松、屈绍波、马 华、谢 峰、徐 卓 2009 58 3961]
[10] Dolling G, Enkrich C, Wegener M, Soukoulis C M, Linden S 2006 Opt. Lett. 31 1800
[11] Zhou X, Fu Q H, Zhao J, Yang Y, Zhao X P 2006 Opt. Express 14 7188
[12] Peng L, Ran L, Chen H, Zhang H, Kong J A, Grzegorczyk T M 2007 Phys. Rev. Lett. 98 157403
[13] Kim J, Gopinath A 2007 Phys. Rev. B 76 115126
[14] Popa B, Cummer S 2008 Phys. Rev. Lett. 100 207401
[15] Seo B, Ueda T, Itoh T, Fetterman H 2006 Appl. Phys. Lett. 88 161122
[16] Ahmadi A, Mosallaei H 2008 Phys. Rev. B 77 045104
[17] Lai Y, Chen C, Yen T 2009 Opt. Express 17 12960
[18] Gaillot D P, Croenne C, Lippens D 2008 Opt. Express 16 3986
[19] Lin X Q, Cui T J, Chin J Y, Yang X M, Cheng Q, Liu R P 2008 Appl. Phys. Lett. 92 131904
[20] Zhao Q, Du B, Kang L, Zhao H, Xie Q, Li B, Zhang X, Zhou J, Li L, Meng Y 2008 Appl. Phys. Lett. 92 051106
[21] Ding P, Liang E J, Hu W Q, Zhou Q, Zhang L, Yuan Y X, Xue Q Z 2009 Opt. Express 17 2198
[22] Ding P, Liang E J, Zhang L, Zhou Q, Yuan Y X 2009 Phys. Rev. E 79 016604
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[1] Shalaev V M 2007 Nat. Photonics 1 41
[2] Veselago G, Narimanov E E 2006 Nat. Mater. 5 759
[3] Shelby R A, Smith D R, Schultz S 2001 Science 292 77
[4] Huangfu J T, Ran L X, Chen H S, Zhang X M, Chen K S, Grzegorczyk T M, Kong J A 2004 Appl. Phys. Lett. 84 1537
[5] Zhou J, Koschny T, Zhang L, Tuttle G, Soukoulis C 2006 Appl. Phys. Lett. 88 221103
[6] Liu Y H, Luo C R, Zhao X P 2007 Acta Phys. Sin. 56 5883 (in Chinese) [刘亚红、罗春荣、赵晓鹏 2007 56 5883]
[7] Chen H, Ran L, Huangfu J, Zhang X, Chen K, Grzegorczyk T M, Kong J A 2004 Phys. Rev. E 70 57605
[8] Yang Y M, Qu S B, Wang J F, Xu Z 2009 Acta Phys. Sin. 58 1031 (in Chinese) [杨一鸣、屈绍波、王甲富、徐 卓 2009 58 1031]
[9] Zhang S, Qu S B, Ma H, Xie F, Xu Z 2009 Acta Phys. Sin. 58 3961 (in Chinese) [张 松、屈绍波、马 华、谢 峰、徐 卓 2009 58 3961]
[10] Dolling G, Enkrich C, Wegener M, Soukoulis C M, Linden S 2006 Opt. Lett. 31 1800
[11] Zhou X, Fu Q H, Zhao J, Yang Y, Zhao X P 2006 Opt. Express 14 7188
[12] Peng L, Ran L, Chen H, Zhang H, Kong J A, Grzegorczyk T M 2007 Phys. Rev. Lett. 98 157403
[13] Kim J, Gopinath A 2007 Phys. Rev. B 76 115126
[14] Popa B, Cummer S 2008 Phys. Rev. Lett. 100 207401
[15] Seo B, Ueda T, Itoh T, Fetterman H 2006 Appl. Phys. Lett. 88 161122
[16] Ahmadi A, Mosallaei H 2008 Phys. Rev. B 77 045104
[17] Lai Y, Chen C, Yen T 2009 Opt. Express 17 12960
[18] Gaillot D P, Croenne C, Lippens D 2008 Opt. Express 16 3986
[19] Lin X Q, Cui T J, Chin J Y, Yang X M, Cheng Q, Liu R P 2008 Appl. Phys. Lett. 92 131904
[20] Zhao Q, Du B, Kang L, Zhao H, Xie Q, Li B, Zhang X, Zhou J, Li L, Meng Y 2008 Appl. Phys. Lett. 92 051106
[21] Ding P, Liang E J, Hu W Q, Zhou Q, Zhang L, Yuan Y X, Xue Q Z 2009 Opt. Express 17 2198
[22] Ding P, Liang E J, Zhang L, Zhou Q, Yuan Y X 2009 Phys. Rev. E 79 016604
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