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Chin. Phys. B, 2017, Vol. 26(9): 094207    DOI: 10.1088/1674-1056/26/9/094207
ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS Prev   Next  

Retrieval of high-order susceptibilities of nonlinear metamaterials

Zhi-Yu Wang(王志宇), Jin-Peng Qiu(邱仅朋), Hua Chen(陈华), Jiong-Jiong Mo(莫炯炯), Fa-Xin Yu(郁发新)
School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, China
Abstract  Active metamaterials embedded with nonlinear elements are able to exhibit strong nonlinearity in microwave regime. However, existing S-parameter based parameter retrieval approaches developed for linear metamaterials do not apply in nonlinear cases. In this paper, a retrieval algorithm of high-order susceptibilities for nonlinear metamaterials is derived. Experimental demonstration shows that, by measuring the power level of each harmonic while sweeping the incident power, high-order susceptibilities of a thin-layer nonlinear metamaterial can be effectively retrieved. The proposed approach can be widely used in the research of active metamaterials.
Keywords:  retrieval      high-order susceptibilities      nonlinear metamaterials  
Received:  16 November 2016      Revised:  09 April 2017      Accepted manuscript online: 
PACS:  42.65.An (Optical susceptibility, hyperpolarizability)  
  42.65.Ky (Frequency conversion; harmonic generation, including higher-order harmonic generation)  
  81.05.Xj (Metamaterials for chiral, bianisotropic and other complex media)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61401395 and 61604128), the Scientific Research Fund of Zhejiang Provincial Education Department, China (Grant No. Y201533913), and the Fundamental Research Funds for the Central Universities, China (Grant Nos. 2016QNA4025 and 2016QN81002).
Corresponding Authors:  Jiong-Jiong Mo     E-mail:  jiongjiongmo@zju.edu.cn

Cite this article: 

Zhi-Yu Wang(王志宇), Jin-Peng Qiu(邱仅朋), Hua Chen(陈华), Jiong-Jiong Mo(莫炯炯), Fa-Xin Yu(郁发新) Retrieval of high-order susceptibilities of nonlinear metamaterials 2017 Chin. Phys. B 26 094207

[1] Liu P L 1990 Electronics & Communication Engineering Journal 2 109
[2] Pendry J B, Holden A J, Robbins D J and Stewart W J 1999 IEEE Transactions on Microwave Theory and Techniques 47 2075
[3] Klein M W, Enkrich C, Wegener M and Linden S 2006 Science 313 502
[4] Shadrivov I V, Morrison S K and Kivshar Y S 2006 Opt. Express 14 165112
[5] Shadrivov I V, Kozyrev A B, Van der Weide D W and Kivshar Y S 2008 Appl. Phys. Lett. 93 161903
[6] Wang Z 2009 Appl. Phys. Lett. 94 134102
[7] Rose A and Smith D R 2011 Optical Materials Express 1 1232
[8] Rose A, Huang D and Smith D R 2011 Phys. Rev. Lett. 107 063902
[9] Smith D R, Schultz S, Markos P and Soukoulis C M 2002 Phys. Rev. B 65 195104
[10] Koschny T, Markos P, Smith D R and Soukoulis C M 2003 Phys. Rev. E 68 065602
[11] Chen X, Grzegorczyk T M, Wu B I, Pacheco J and Kong J A 2004 Phys. Rev. E 70 016608
[12] Hou Z 2012 Chin. Phys. Lett. 29 017701
[13] Smith D R, Vier D C, Koschny T and Soukoulis C M 2005 Phys. Rev. E 71 036617
[14] Chen H 2006 Opt. Express 14 12944
[15] Wang D 2006 J. Appl. Phys. 99 123114
[16] Si L, Hou J, Liu Y and Lv X 2013 Acta Phys. Sin. 62 037806 (in Chinese)
[17] Ding M 2013 Acta Phys. Sin. 62 044218 (in Chinese)
[18] Xu X, Liu Y, Gan Y and Liu W 2015 Acta Phys. Sin. 64 44101 (in Chinese)
[19] Butcher P N and Cotter D 1991 The Elements of Nonlinear Optics (Cambridge: Cambridge University) p. 216
[20] Boyd R W 2008 Nonlinear Optics (New York: Academic) Chapter 2 & 4
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