Numerical demonstration of three-dimensional terahertz metamaterials based on the causality principle

doi:10.1088/1674-1056/23/2/027804

中国物理B ›› 2014, Vol. 23 ›› Issue (2): 27804-027804.doi: 10.1088/1674-1056/23/2/027804

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇下一篇

Numerical demonstration of three-dimensional terahertz metamaterials based on the causality principle

Saeid Jamilan, Javad Nourinia, Mohammad Naghi Azarmanesh

Department of Electrical Engineering, Urmia University, Urmia, Iran

收稿日期:2013-07-08 修回日期:2013-08-16 出版日期:2013-12-12 发布日期:2013-12-12

Numerical demonstration of three-dimensional terahertz metamaterials based on the causality principle

Saeid Jamilan, Javad Nourinia, Mohammad Naghi Azarmanesh

Department of Electrical Engineering, Urmia University, Urmia, Iran

Received:2013-07-08 Revised:2013-08-16 Online:2013-12-12 Published:2013-12-12
Contact: Saeid Jamilan E-mail:saeid.jamilan@gmail.com
About author:78.67.Pt; 78.20.Ci; 87.50.U-

摘要/Abstract

摘要： A parameter retrieval algorithm based on the causality principle and Kramers–Kronig (KK) relations is employed to calculate the effective parameters of three-dimensional (3D) metamaterials. Using KK relations, the branch selecting problem, which is the challenge of effective parameter retrieval method, can be removed. To reveal the validity of the proposed algorithm, the constitutive refractive index of a homogeneous polymide cube is extracted. The result is in excellent agreement with the intrinsic refractive index of the polymide. Finally, the two terahertz metamaterials with 3D structures are designed and their effective parameters are then retrieved using the proposed algorithm. Numerical simulations are performed using the full-wave electromagnetic solver, CST Microwave Studio.

关键词: metamaterial, three-dimensional, causality principle, Kramers–, Kronig relations

Abstract: A parameter retrieval algorithm based on the causality principle and Kramers–Kronig (KK) relations is employed to calculate the effective parameters of three-dimensional (3D) metamaterials. Using KK relations, the branch selecting problem, which is the challenge of effective parameter retrieval method, can be removed. To reveal the validity of the proposed algorithm, the constitutive refractive index of a homogeneous polymide cube is extracted. The result is in excellent agreement with the intrinsic refractive index of the polymide. Finally, the two terahertz metamaterials with 3D structures are designed and their effective parameters are then retrieved using the proposed algorithm. Numerical simulations are performed using the full-wave electromagnetic solver, CST Microwave Studio.

Key words: metamaterial, three-dimensional, causality principle, Kramers–Kronig relations

中图分类号: (Multilayers; superlattices; photonic structures; metamaterials)

78.67.Pt

78.20.Ci (Optical constants (including refractive index, complex dielectric constant, absorption, reflection and transmission coefficients, emissivity))

Saeid Jamilan, Javad Nourinia, Mohammad Naghi Azarmanesh. Numerical demonstration of three-dimensional terahertz metamaterials based on the causality principle[J]. 中国物理B, 2014, 23(2): 27804-027804.

Saeid Jamilan, Javad Nourinia, Mohammad Naghi Azarmanesh. Numerical demonstration of three-dimensional terahertz metamaterials based on the causality principle[J]. Chin. Phys. B, 2014, 23(2): 27804-027804.

参考文献 29

[1]	Smith D R, Padilla W J, Vier D C, Nemat-Nasser S C and Schultz S 2000 Phys. Rev. Lett. 84 4184
[2]	Schurig D, Mock J J, Justice B J, Cummer S A, Pendry J B, Starr A F and Smith D R 2006 Science 314 977
[3]	Pendry J B 2000 Phys. Rev. Lett. 85 3966
[4]	Fan Y N, Cheng Y Z, Nie Y, Wang X and Gong R Z 2013 Chin. Phys. B 22 067801
[5]	Cheng Y and Yang H 2010 J. Appl. Phys. 108 034906
[6]	Zhu B, Wang Z, Huang C, Feng Y, Zhao J and Jiang T 2010 Prog. Electromagn. Res. 101 231
[7]	Pendry J B, Holden A J, Stewart W J and Youngs I 1996 Phys. Rev. Lett. 76 4773
[8]	Pendry J B, Holden A J, Stewart W J and Robbins D J 1998 J. Phys.: Condens. Matter 10 4785
[9]	Pendry J B, Holden A J, Robins D J and Stewart W J 1999 IEEE Trans. Microwave Theory Tech. 47 2075
[10]	Baena J D, Marques R Medina F and Martel J 2004 Phys. Rev. B 69 014402
[11]	Wang D, Ran L, Chen H, Mu M, Kongand J A and Wu B I 2007 Appl. Phys. Lett. 90 254103
[12]	Chen H T, Padilla W, Cich M J, Azad A K, Averitt R D and Taylor A J 2009 Nat. Photon. 3 148
[13]	Tao H, Landy N I, Bingham C M, Zhang X, Averitt R D and Padilla W J 2008 Opt. Express 16 7181
[14]	Chen H T, O’Hara J F, Azad A K, Taylor A J, Averitt R D, Shrekenhamer D B and Padilla W J 2008 Nat. Photon. 2 295
[15]	He X J, Wang Y, Geng Z X, Wang J M and Gui T L 2011 J. Magn. Magn. Mater. 323 2425
[16]	Brener I, Burckel D B, Wendt J R, Ten Eyck G A, Ellis A R and Sinclair M B 2010 SPIE Newsroom 10.1117/2.1201007.003174
[17]	Vignolini S, Yufa N A, Cunha P S, Guldin S, Rushkin I, Stefik M, Hur K, Wiesner U, Baumberg J J and Steiner U 2012 Adv. Opt. Mater. 24 23
[18]	Fan K, Strikwerda A C, Tao H, Zhang X and Averitt R D 2011 36th International Conference on Infrared, Millimeter and Terahertz Waves, October 2–7, 2011, Houston, TX, USA
[19]	Valentine J, Zhang S, Zentgraf Th, Ulin-Avila E, Genov D A, Bartal G and Zhang X 2008 Nature Lett. 455 376
[20]	Gong B and Zhao X 2011 Opt. Express 19 289
[21]	Smith D R, Vier D C, Koschny Th and Soukoulis C M 2005 Phys. Rev. E 71 036617
[22]	Chen X D, Grzegorczyk T M, Wu B I, Pacheco J Jr and Kong J A 2004 Phys. Rev. E 70 016608
[23]	Varadan V and Ro R 2007 IEEE Trans Microwave Theory Tech. 55 2224
[24]	Szabó Z, Park G H, Hedge R and Li E P 2010 IEEE Trans. Microwave Theory Tech. 58 2646
[25]	Peiponen K E, Lucarini V, Vartiainen E M and Saarinen J J 2004 Eur. Phys. J. B 41 61
[26]	Nussenzveig H M 1972 Causality and Dispersion Relations (London and New York: Academic Press) pp. 15–28 and 43–45
[27]	Fearn H 2006 J. Mod. Opt. 53 2581
[28]	Hou Z L, Kong L B, Jin H B, Cao M S, Li X and Qi X 2012 Chin. Phys. Lett. 29 017701
[29]	Wu B I, Wang W, Pacheco J, Chen X, Grzegorczyk T and Kong J A 2005 Prog. Electromagn. Res. 51 295

Numerical demonstration of three-dimensional terahertz metamaterials based on the causality principle

Numerical demonstration of three-dimensional terahertz metamaterials based on the causality principle

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