中国物理B ›› 2013, Vol. 22 ›› Issue (9): 94102-094102.doi: 10.1088/1674-1056/22/9/094102

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

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

晋蕾, 朱清溢, 付永启   

  1. School of Physical Electronics, University of Electronic Science and Technology of China, Chengdu 610054, China
  • 收稿日期:2012-09-17 修回日期:2013-01-31 出版日期:2013-07-26 发布日期:2013-07-26
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11079014 and 61077010).

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

Jin Lei (晋蕾), Zhu Qing-Yi (朱清溢), Fu Yong-Qi (付永启)   

  1. School of Physical Electronics, University of Electronic Science and Technology of China, Chengdu 610054, China
  • Received:2012-09-17 Revised:2013-01-31 Online:2013-07-26 Published:2013-07-26
  • Contact: Fu Yong-Qi E-mail:yqfu@uestc.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11079014 and 61077010).

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摘要： 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.

关键词: photonic crystals, graded negative index, focusing, flat lenses

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.

Key words: photonic crystals, graded negative index, focusing, flat lenses

中图分类号:  (Electromagnetic wave propagation; radiowave propagation)

  • 41.20.Jb
42.25.Bs (Wave propagation, transmission and absorption) 42.70.Qs (Photonic bandgap materials)