OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry van Driel
  • Vol. 29, Iss. 7 — Jul. 1, 2012
  • pp: 1829–1834

Physical specifications of photonic crystal slab lenses and their effects on image quality

Sohrab Safavi, Rahim Ghayour, and Jonas Ekman  »View Author Affiliations


JOSA B, Vol. 29, Issue 7, pp. 1829-1834 (2012)
http://dx.doi.org/10.1364/JOSAB.29.001829


View Full Text Article

Enhanced HTML    Acrobat PDF (1116 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Photonic crystal (PhC) lenses with negative refractive index have attracted intense interest because of their application in optical frequencies. In this paper, two-dimensional PhC lenses with a triangular lattice of cylindrical holes in dielectric material are investigated. Various physical parameters of the lens are introduced, and their effects on the lens response are studied in detail. The effect of the surface termination is investigated by analyzing the power flux within the PhC structure. A new lens formula has been obtained that shows a linear relation between the source distance (distance between the source and the lens) and the image distance (distance between the image and the lens) for any surface termination of the PhC lens. It is observed that the excitation of surface waves does not necessarily pull the image closer to the lens. The effects of the thickness and the lateral width of the lens are also analyzed.

© 2012 Optical Society of America

OCIS Codes
(110.2960) Imaging systems : Image analysis
(240.6690) Optics at surfaces : Surface waves
(230.5298) Optical devices : Photonic crystals

ToC Category:
Imaging Systems

History
Original Manuscript: February 13, 2012
Revised Manuscript: May 29, 2012
Manuscript Accepted: May 29, 2012
Published: June 28, 2012

Citation
Sohrab Safavi, Rahim Ghayour, and Jonas Ekman, "Physical specifications of photonic crystal slab lenses and their effects on image quality," J. Opt. Soc. Am. B 29, 1829-1834 (2012)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-29-7-1829


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. V. Veselago, “The electrodynamics of substances with simultaneously negative values of ϵ and μ,” Sov. Phys. Usp. 10, 509–514 (1968). [CrossRef]
  2. J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett. 85, 3966–3969 (2000). [CrossRef]
  3. S. Anantha Ramakrishna, “Physics of negative refractive index materials,” Rep. Prog. Phys. 68, 449–521 (2005). [CrossRef]
  4. S. Foteinopoulou and C. M. Soukoulis, “Negative refraction and left-handed behavior in two-dimensional photonic crystals,” Phys. Rev. B 67, 235107 (2003). [CrossRef]
  5. M. Notomi, “Theory of light propagation in strongly modulated photonic crystals: Refraction like behavior in the vicinity of the photonic band gap,” Phys. Rev. B 62, 10696–10705 (2000). [CrossRef]
  6. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton University, 1995).
  7. C. Luo, S. G. Johnson, and J. D. Joannopoulos, “Subwavelength imaging in photonic crystals,” Phys. Rev. B 68, 045115 (2003). [CrossRef]
  8. E. Cubukcu, K. Aydin, and E. Ozbay, “Subwavelength resolution in a two-dimensional photonic-crystal-based superlens,” Phys. Rev. Lett. 91, 207401 (2003). [CrossRef]
  9. Z.-Y. Li and L.-L. Lin, “Evaluation of lensing in photonic crystal slabs exhibiting negative refraction,” Phys. Rev. B 68, 245110 (2003). [CrossRef]
  10. C. Luo, S. G. Johnson, and J. D. Joannopoulos, “All-angle negative refraction without negative effective index,” Phys. Rev. B 65, 201104 (2002). [CrossRef]
  11. P. A. Belov and C. R. Simovski, “Canalization of subwavelength images by electromagnetic crystals,” Phys. Rev. B 71, 193105 (2005). [CrossRef]
  12. Y. Liu, G. Bartal, and X. Zhang, “All-angle negative refraction and imaging in a bulk medium made of metallic nanowires in the visible region,” Opt. Express15439–15448 (2008). [CrossRef]
  13. X. Wang, Z. Ren, and K. Kempa, “Unrestricted superlensing in a triangular two dimensional photonic crystal,” Opt. Express 12, 2919–2924 (2004). [CrossRef]
  14. R. Moussa, S. Foteinopoulou, Lei Zhang, G. Tuttle, K. Guven, E. Ozbay, and C. M. Soukoulis, “Negative refraction and superlens behavior in a two-dimensional photonic crystal,” Phys. Rev. B 71, 085106 (2005). [CrossRef]
  15. X. Wang and K. Kempa, “Effects of disorder on subwavelength lensing in two-dimensional photonic crystal slabs,” Phys. Rev. B 71, 085101 (2005). [CrossRef]
  16. S. Xiao, M. Qiu, Z. Ruan, and S. He, “Influence of the surface termination to the point imaging by a photonic crystal slab with negative refraction,” Appl. Phys. Lett. 85, 4269–4271 (2004). [CrossRef]
  17. G. Sun, A. S. Jugessur, and A. G. Kirk, “Imaging properties of dielectric photonic crystal slabs for large object distances,” Opt. Express 14, 6755–6765 (2006). [CrossRef]
  18. S. Foteinopoulou, “Photonic crystals as metamaterials,” Phys. B, doi:10.1016/j.physb.2012.01.092 (to be published). [CrossRef]
  19. S. Foteinopoulou and C. M. Soukoulis, “Electromagnetic wave propagation in two-dimensional photonic crystals: a study of anomalous refractive effects,” Phys. Rev. B 72, 165112 (2005). [CrossRef]
  20. A. Taflove, Computational Electrodynamics: The Finite Difference Time-Domain Method (Artech House, 1995).
  21. J. Berenger, “A perfectly matched layer for the absorption of electromagnetic waves,” J. Comput. Phys. 114, 185–200 (1994). [CrossRef]
  22. N. Fang, Z. Liu, T.-J. Yen, and X. Zhang, “Experimental study of transmission enhancement of evanescent waves through silver films assisted by surface plasmon excitation,” Appl. Phys. A 80, 1315–1325 (2005). [CrossRef]
  23. E. Moreno, F. J. Garcia-Vidal, and L. Martin-Moreno, “Enhanced transmission and beaming of light via photonic crystal surface modes,” Phys. Rev. B 69, 121402 (2004). [CrossRef]
  24. R. Moussa, Th. Koschny, and C. M. Soukoulis, “Excitation of surface waves in a photonic crystal with negative refraction: the role of surface termination,” Phys. Rev. B 74, 115111 (2006). [CrossRef]
  25. N. Shen, S. Foteinopoulou, M. Kafesaki, T. Koschny, E. Ozbay, E. Economou, and M. Soukoulis, “Compact planar far-field superlens based on anisotropic left-handed metamaterials,” Phys. Rev. B 80, 115123 (2009). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited