Photon tunneling and transmittance resonance through a multi-layer structure with a left-handed material

doi:10.1088/1674-1056/20/5/054103

Abstract This paper investigates the photon tunneling and transmittance resonance through a multi-layer structure including a left-handed material(LHM). An analytical expression for the transmittance in a five-layer structure is given by the analytical transfer matrix method. The transmittance is studied as a function of the refractive index and the width of the LHM layer. The perfect photon tunneling results from the multi-layer structure, especially from the relation between the magnitude of the refractive index and the width of the LHM layer and those of the adjoining layers. Photons may tunnel through a much greater distance in this structure. Transmittance resonance happens, the peaks and valleys appear periodically at the resonance thickness. For an LHM with inherent losses, the perfect transmittance is suppressed.

Keywords: left-handed material photon tunneling transmittance resonance analytical transfer matrix method

Received: 29 April 2010
Revised: 22 October 2010
Accepted manuscript online:

PACS:	41.20.Jb	(Electromagnetic wave propagation; radiowave propagation)
	78.20.Ci	(Optical constants (including refractive index, complex dielectric constant, absorption, reflection and transmission coefficients, emissivity))
	42.70.Qs	(Photonic bandgap materials)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 60877055 and 60806041) and the Innovation Funds for Graduates of Shanghai University, China (Grant No. SHUCX102016).

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He Ying (何英), Zhang Xia (张霞), Yang Yan-Fang (杨艳芳), Li Chun-Fang (李春芳) Photon tunneling and transmittance resonance through a multi-layer structure with a left-handed material 2011 Chin. Phys. B 20 054103

[1]	Veselago V G 1968 Sov.Phys.Usp. 10 509
[2]	Shelby R A, Smith D R and Schultz S 2001 Science 292 77
[3]	Chen Y, Fischer P and Wise F W 2005 Phys. Rev. Lett. 95 067402
[4]	Eleftheriades G V, Iyer A K and Kremer P C 2002 IEEE Trans. Microwave Theory Tech. 50 2702
[5]	Iyer K and Eleftheriades G V 2008 Appl. Phys. Lett. 92 261106
[6]	Sun Y Z, Ran L X, Wang D X, Wang W G and Chen Q L 2010 Acta Phys. Sin. 59 4602 (in Chinese)
[7]	Zhuo S C and Yan C C 2010 Acta Phys. Sin. 59 0360 (in Chinese)
[8]	Krowne C M 2006 J. Appl. Phys. 99 044914
[9]	Chowdhury A and Tataronis J A 2008 Phys. Rev. Lett. 100 153905
[10]	Shadrivov I V, Zharova N A, Zharov A A and Kivshar Y S 2004 Phys. Rev. E 70 046615
[11]	Feng S and Halterman K 2008 Phys. Rev. Lett. 100 063901
[12]	Li G Q, Li H Y, Wang P C and Zhang Y W 2007 Acta Phys. Sin. 56 6480 (in Chinese)
[13]	de Medeiros F F , Albuquerque E L and Vasconcelos M S 2006 J. Phys.: Condens. Matter 39 8737
[14]	Chen L, He S L and Shen L F 2003 Acta Phys. Sin. 52 2386 (in Chinese)
[15]	Zhang Z M and Fu C J 2002 Appl. Phys. Lett. 80 1097
[16]	He Y, Zhang J and Li C F 2008 J. Opt. Soc. Am. B 25 2081
[17]	Xiang Y J, Dai X Y and Wen S C 2007 J. Opt. A: Pure and Appl. Opt. 9 253
[18]	Zhang Z M and Lee B J 2006 Opt. Express 14 9963
[19]	Verkhoturov S V, Schweikert E A, Chechik V, Sabapathy R C, Crooks R M and Parilis E S 2001 Phys. Rev. Lett. 87 037601
[20]	Ranfagni A , Ruggeri R, Agresti A, Ranfagni C and Sandri P 2002 Phys. Rev. E 65 037601
[21]	Bhattacharya P and Ghosh S 2002 Appl. Phys. Lett. 80 3482
[22]	He H, Pandey R and Pati R 2006 Phys. Rev. B 73 195311
[23]	He Y, Cao Z Q and Shen Q S 2005 J. Phys. A: Math. Gen. 38 5771
[24]	Wang J P, Jin Y X, Ma J Y, Shao J D and Fan Z X 2010 Chin. Phys. B 19 054202
[25]	Prade B, Vinet J Y and Mysyrowicz A 1991 Phys. Rev. B 44 13556 endfootnotesize

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Photon tunneling and transmittance resonance through a multi-layer structure with a left-handed material

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