OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 26 — Dec. 22, 2008
  • pp: 21865–21880

The use of a negative index planoconcave lens array for wide-viewing angle integral imaging

Hwi Kim, Joonku Hahn, and Byoungho Lee  »View Author Affiliations

Optics Express, Vol. 16, Issue 26, pp. 21865-21880 (2008)

View Full Text Article

Enhanced HTML    Acrobat PDF (3380 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Wide-viewing angle integral imaging by means of a negative refractive index planoconcave lens array is theoretically investigated. The optical properties of a negative refractive index lens are analyzed from the point of view of integral imaging. The effective focal length of a positive index planoconvex lens and a negative index planoconcave lens with the same surface spherical curvature R are approximated as f P,eff =2R and f N,eff =R, respectively. This short effective focal length of the negative index lens is advantageous for extending the viewing angle of the integral imaging. In addition, some other optical properties of a negative index lens are analyzed and compared for a positive index lens. Three-dimensional ray-tracing observation simulations of integral imaging systems with a negative index lens array and a positive index lens array are then performed, in a comparative study of the wide-viewing angle mode for integral imaging. A three-dimensional ray-tracing simulator for an integral imaging system is then developed. Some interesting issues that appear in the wide-viewing mode of integral imaging are discussed. The negative refractive index planoconcave lens was found to give a wider viewing angle of -60(deg.) ~+60(deg.) and reduces aberration with only a single spherical planoconcave lens.

© 2008 Optical Society of America

OCIS Codes
(080.0080) Geometric optics : Geometric optics
(100.6890) Image processing : Three-dimensional image processing
(160.3918) Materials : Metamaterials

ToC Category:

Original Manuscript: September 23, 2008
Revised Manuscript: November 22, 2008
Manuscript Accepted: December 11, 2008
Published: December 17, 2008

Hwi Kim, Joonku Hahn, and Byoungho Lee, "The use of a negative index planoconcave lens array for wide-viewing angle integral imaging," Opt. Express 16, 21865-21880 (2008)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. B. Javidi and F. Okano, eds., Three Dimensional Television, Video, and Display Technologies (Springer, 2002).
  2. B. Lee, J.-H. Park, and S.-W. Min, "Three-dimensional display and information processing based on integral imaging," in Digital Holography and Three-Dimensional Display, T.-C. Poon, ed. (Springer, 2006), pp. 333-378. [CrossRef]
  3. H. Liao, M. Iwahara, H. Nobuhiko, and T. Dohi, "High-quality integral videography using a multiprojector," Opt. Express 12, 1067-1076 (2004). [CrossRef] [PubMed]
  4. X. Wang and H. Hua, "Theoretical analysis for integral imaging performance based on microscanning of a microlens array," Opt. Lett. 33, 449-451 (2008). [CrossRef] [PubMed]
  5. M. Kawakita, H. Sasaki, J. Arai, F. Okano, K. Suehiro, Y. Haino, M. Yoshimura, and M. Sato, "Geometric analysis of spatial distortion in projection-type integral imaging," Opt. Lett. 33, 684-686 (2008). [CrossRef] [PubMed]
  6. F. Okano, J. Arai, and M. Kawakita, "Wave optical analysis of integral method for three-dimensional images," Opt. Lett. 32, 364-366 (2007). [CrossRef] [PubMed]
  7. Y. Kim, J. Park, H. Choi, S. Jung, S. Min, and B. Lee, "Viewing-angle-enhanced integral imaging system using a curved lens array," Opt. Express 12, 421-429 (2004). [CrossRef] [PubMed]
  8. S. Jung, J.-H. Park, H. Choi, and B. Lee, "Viewing-angle-enhanced integral three-dimensional imaging along all directions without mechanical movement," Opt. Express 11, 1346-1356 (2003). [CrossRef] [PubMed]
  9. J. Jang and B. Javidi, "Three-dimensional integral imaging with electronically synthesized lenslet arrays," Opt. Lett. 27, 1767-1769 (2002). [CrossRef]
  10. J.-H. Park, S. Jung, H. Choi, and B. Lee, "Viewing-angle-enhanced integral imaging by elemental image resizing and elemental lens switching," Appl. Opt. 41, 6875-6883 (2002). [CrossRef] [PubMed]
  11. J.-H. Park, Y. Kim, J. Kim, S. -W. Min, and B. Lee, "Three-dimensional display scheme based on integral imaging with three-dimensional information processing," Opt. Express 12, 6020-6032 (2004). [CrossRef] [PubMed]
  12. S.-W. Min, J. Kim, and B. Lee, "Wide-viewing projection-type integral imaging system with an embossed screen," Opt. Lett. 29, 2420-2422 (2004). [CrossRef] [PubMed]
  13. H. Choi, J.-H. Park, J. Hong, and B. Lee, "Depth-enhanced integral imaging with a stepped lens array or a composite lens array for three-dimensional display," The 16th Annual Meeting of the IEEE Lasers & Electro-Optics Society (LEOS 2003), Tucson, AZ, 2, 730-731, Oct. 2003. [CrossRef]
  14. J. Jang and B. Javidi, "Large depth-of-focus time-multiplexed three-dimensional integral imaging by use of lenslets with nonuniform focal lengths and aperturesizes," Opt. Lett. 28, 1924-1926 (2003). [CrossRef] [PubMed]
  15. D. R. Smith, W. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, "A composite medium with simultaneously negative permeability and permittivity," Phys. Rev. Lett. 84, 4184-4187 (2000). [CrossRef] [PubMed]
  16. R. A. Shelby, D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science 292, 77-79 (2001). [CrossRef] [PubMed]
  17. D. Schurig and D. R. Smith, "Negative index lens aberrations," Phys. Rev. E 70, 065601 (2004). [CrossRef]
  18. D. Schurig and D. R. Smith, "Free-space microwave focusing by a negative-index gradient lens," Appl. Phys. Lett. 88, 081101 (2006). [CrossRef]
  19. C. G. Parazzoli, R. B. Greegor, J. A. Nielsen, M. A. Thompson, K. Li, A. M. Vetter, and M. H. Tanielian, "Performance of a negative index of refraction lens," Appl. Phys. Lett. 84, 3232-3234 (2004). [CrossRef]
  20. P. Vodo, P. V. Parimi, W. T. Lu, and S. Sridhar, "Focusing by planoconcave lens using negative refraction," Appl. Phys. Lett. 86, 201108 (2005). [CrossRef]
  21. K.-Y. Kim, "Photon tunneling in composite layers of negative- and positive-index media," Phys. Rev. E 70, 047603 (2004). [CrossRef]
  22. H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing, (Wiley, New York, 2001).
  23. J.-H. Park, S.-W. Min, S. Jung, and B. Lee, "Analysis of viewing parameters for two display methods based on integral photography," Appl. Opt. 40, 5217-5232 (2001). [CrossRef]
  24. G. Dolling, M. Wegener, C. M. Soukoulis, and S. Linden, "Negative-index metamaterial at 780nm wavelength," Opt. Lett. 32, 53-55 (2007). [CrossRef]
  25. G. Dolling, C. Enkrich, M. Wegener, C. M. Soukoulis, and S. Linden, "Simultaneous negative phase and group velocity of light in a metamaterial," Science 312, 892-894 (2006). [CrossRef] [PubMed]

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