Tunability of graded negative index-based photonic crystal lenses for fine focusing

doi:10.1088/1674-1056/22/9/094102

Abstract Graded negative refractive index-based photonic crystal (PC) lenses are designed by gradually modifying the sizes of air holes along the transverse direction for focusing the incident plane wave. To study the tunability of the graded negative index-based PC, we introduce filling factor A, gradually tune the filling factor, and use the finite-difference and time-domain (FDTD) algorithm for numerical calculation. Our calculation results indicate that the focal length and the spot size increase with A increasing. For the same A value, the focal length of a PC with elliptical air holes is the longest, and those of PC with square and rectangular air holes are the shortest. Moreover, when the focal length is greater than 1 μm, the focal parameters of the PC are highly insensitive to the variation of A. When the focal length is less than 1 μm, the PC lenses have higher transmittances and all well focus with a beam spot size breaking the diffraction limit. This feature possibly makes the graded negative index-based PC lenses have some new applications in optoelectronic systems.

Keywords: photonic crystals graded negative index focusing flat lenses

Received: 17 September 2012
Revised: 31 January 2013
Accepted manuscript online:

PACS:	41.20.Jb	(Electromagnetic wave propagation; radiowave propagation)
	42.25.Bs	(Wave propagation, transmission and absorption)
	42.70.Qs	(Photonic bandgap materials)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11079014 and 61077010).

Corresponding Authors: Fu Yong-Qi
E-mail: yqfu@uestc.edu.cn

Cite this article:

Jin Lei (晋蕾), Zhu Qing-Yi (朱清溢), Fu Yong-Qi (付永启) Tunability of graded negative index-based photonic crystal lenses for fine focusing 2013 Chin. Phys. B 22 094102

[1]	Chien H T and Chen C C 2006 Opt. Express 14 10759
[2]	Kurt H, Colak E, Cakmak O, Caglayan H and Ozbay E 2008 Appl. Phys. Lett. 93 171108
[3]	Vasic B and Gajic R 2011 J. Appl. Phys. 5 053103
[4]	Kurt H and Citrin D S 2007 Opt. Express 15 1240
[5]	Schonbrun E, Wu Q, Park W, Yamashita T, Summers C J, Abashin M and Fainman Y 2007 Appl. Phys. Lett. 90 041113
[6]	Shi P, Huang K and Li Y P 2011 J. Opt. Soc. Am. B: Opt. Phys. 28 2098
[7]	Ren K and Ren X B 2012 Chinese Science Bulletin 57 1241
[8]	Zhu Q Y, Fu Y Q, Hu D Q and Zhang Z M 2012 Chin. Phy. B 21 064220
[9]	Wang H W and Chen L W 2010 J. Opt. Soc. Am. B: Opt. Phys. 28 2098
[10]	Centeno E and Cassagne D 2005 Opt. Lett. 30 2278
[11]	Roux F S and DeLeon I 2006 Phys. Rev. B 74 113103
[12]	Lu M Q, Juluri B K, Sz-Chin Steven Lin S S, Kiraly B and Gao T Y 2010 J. Appl. Phys. 108 10
[13]	Ren K and Ren X B 2011 Appl. Opt. 50 2152
[14]	Liu M L, Yun M J, Xia F and Liang J 2012 Proc. SPIE 8497 849717
[15]	Casse B D F, Lu W T, Huang Y J and Sridhar S 2008 Appl. Phys. Lett. 93 053111
[16]	Centeno E, Cassagne D and Albert J P 2006 Phys. Rev. B 73 235119
[17]	Luo C Y, Johnson S G and Joannopoulos J D 2002 Phys. Rev. B 65 201104
[18]	Sun J, Shen Y F, Chen J, Wang L G, Sun L L, Wang J, Han K and Tang G 2010 Photonics and Nanostructures-Fundamentals and Applications p. 163
[19]	Wu Q, Gibbons J M and Park W 2008 Opt. Express 16941
[20]	Zhu Q Y, Fu Y Q, Zhang Z M, Xu Z J and Yu W X 2012 Plasmonics 7

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Tunability of graded negative index-based photonic crystal lenses for fine focusing

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