Focusing a beam beyond the diffraction limit using a hyperlens-based device

doi:10.1088/1674-1056/20/11/117802

Abstract A super-focusing device composed of a focusing objective and a hyperlens is proposed to focus an incident plane wave into the deep subwavelength dimension. In the device, the objective converts the incident plane wave into a convergent one. The half cylindrical hyperlens can support high wave vector k modes propagating towards its core. So the convergent wave can be focused into an ultrasmall spot beyond the diffraction limit. The layout is proposed for the super-focusing device and its characteristics are investigated theoretically. Numerical simulations verify that the focused beams are confined in a spot with a diameter of 16.3 nm in the focal plane of the focusing objective with a numerical aperture of 0.6, which corresponds to a super-resolution spot of $\lambda_0$/23 ($\lambda_0$ is the wavelength in vacuum). The simulations confirm the effectiveness of the proposed device.

Keywords: hyperlens objective super-focusing device resolution

Received: 14 April 2011
Revised: 23 June 2011
Accepted manuscript online:

PACS:	78.67.Pt	(Multilayers; superlattices; photonic structures; metamaterials)
	42.79.Bh	(Lenses, prisms and mirrors)
	42.25.Bs	(Wave propagation, transmission and absorption)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10904118), the Natural Science Foundation of Hubei Province, China (Grant No. 2009CDB211), and the Fundamental Research Funds for the Central Universities of China.

Cite this article:

Zheng Guo-Xing(郑国兴), Zhang Rui-Ying(张瑞瑛), Li Song(李松), He Ping-An(何平安), and Zhou Hui(周辉) Focusing a beam beyond the diffraction limit using a hyperlens-based device 2011 Chin. Phys. B 20 117802

[1]	Durant S, Liu Z W, Steele J M and Zhang X 2006 J. Opt. Soc. Am. B 23 2383
[2]	Pendry J B 2000 Phys. Rev. Lett. 85 3966
[3]	Fang N, Lee H, Sun C and Zhang X 2005 Science 308 534
[4]	Melville D O S and Blaikie R J 2005 Opt. Express 13 2127
[5]	Liu Z W, Fang N, Yen T J and Zhang X 2003 Appl. Phys. Lett. 83 5184
[6]	Fang N, Liu Z W, Yen T J and Zhang X 2003 Opt. Express 11 682
[7]	Lee H, Xiong Y, Fang N, Srituravanich W, Ambati M, Sun C and Zhang X 2005 New J. Phys. 7 1
[8]	Liu Z W, Durant S, Lee H, Pikus Y, Fang N, Xiong Y, Sun C and Zhang X 2007 Nano Lett. 7 403
[9]	Liu Z W, Durant S, Lee H, Pikus Y, Xiong Y, Sun C and Zhang X 2007 Opt. Express 15 6947
[10]	Lee H, Liu Z W, Xiong Y, Sun C and Zhang X 2008 Solid State Commun. 146 202
[11]	Chen J, Wang Q K and Li H H 2010 Chin. Phys. B 19 034202
[12]	Jacob Z, Alekseyev L V and Narimanov E 2006 Opt. Express 14 8247
[13]	Liu Z W, Lee H, Xiong Y, Sun C and Zhang X 2007 Science 315 1686
[14]	Xiong Y, Liu Z W and Zhang X 2009 Appl. Phys. Lett. 94 203108
[15]	Jacob Z, Alekseyev L V and Narimanov E 2007 J. Opt. Soc. Am. A 24 52
[16]	Hu J G, Cao Y, Wang P, Lu Y H and Ming H 2008 Chin. Phys. Lett. 25 4151
[17]	Lee H, Liu Z W, Xiong Y, Sun C and Zhang X 2007 Opt. Express 15 15886
[18]	Milster T D, Jo J S and Hirota K 1999 Appl. Opt. 38 5046
[19]	Terris A D, Mamin H J, Rugar D, Studenmund W R and Kino G S 1994 Appl. Phys. Lett. 65 388
[20]	Wu Q, Feke G D, Grober R D and Ghislain L P 1999 Appl. Phys. Lett. 75 4064
[21]	Johnson P B and Christy R W 1972 Phys. Rev. B 6 4370
[22]	Chen W, Thoreson M D, Ishii S, Kildishev A V and Shalaev V M 2010 Opt. Express 18 5124
[23]	Smith E J, Liu Z W, Mei Y F and Schmidt O G 2009 Appl. Phys. Lett. 95 083104
[24]	Dong X C, Du C L, Li S H, Wang C T and Fu Y Q 2005 Opt. Express 13 1353
[25]	Shi L F, Du C L, Dong X C, Deng Q L and Luo X G 2007 Appl. Opt. 46 8346
[26]	Du C L, Dong X C, Qiu C K, Deng Q L and Zhou C X 2004 Opt. Eng. 43 2595

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Focusing a beam beyond the diffraction limit using a hyperlens-based device

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