OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 10 — May. 11, 2009
  • pp: 8109–8118

Optics InfoBase > Optics Express > Volume 17 > Issue 10 > Page 8109

Broadband super-collimation in a hybrid photonic crystal structure

Rafif E. Hamam, Mihai Ibanescu, Steven G. Johnson, J. D. Joannopoulos, and Marin Soljacic  »View Author Affiliations


Optics Express, Vol. 17, Issue 10, pp. 8109-8118 (2009)
http://dx.doi.org/10.1364/OE.17.008109


View Full Text Article

Enhanced HTML    Acrobat PDF (263 KB)


Advanced Search

Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We propose a two dimensional (2D) photonic crystal (PhC) structure that supports super-collimation over a large frequency range (over 4 times that of a traditional square lattice of holes). We theoretically and numerically investigate the collimation mechanism in our 2D structure, in comparison to that of two other frequently used related PhC structures. We also point out the potential importance of our proposed structure in the design of super-collimation-based devices for both monochromatic and polychromatic light.

© 2009 Optical Society of America

OCIS Codes
(260.2110) Physical optics : Electromagnetic optics
(350.4238) Other areas of optics : Nanophotonics and photonic crystals

ToC Category:
Photonic Crystals

History
Original Manuscript: March 12, 2009
Revised Manuscript: April 15, 2009
Manuscript Accepted: April 26, 2009
Published: April 29, 2009

Citation
Rafif E. Hamam, Mihai Ibanescu, Steven G. Johnson, J. D. Joannopoulos, and Marin Soljacic, "Broadband super-collimation in a hybrid photonic crystal structure," Opt. Express 17, 8109-8118 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-10-8109


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals: Molding the Flow of Light, second edition (Princeton University Press, 2008).
  2. J. N. Winn, Y. Fink, S. Fan, and J. D. Joannopoulos, "Omnidirectional reflection from a one-dimensional photonic crystal," Opt. Lett. 23, 1573-1575 (1998). [CrossRef]
  3. P. St. J. Russella, S. Tredwella, and P. J. Roberts, "Full photonic bandgaps and spontaneous emission control in 1D multilayer dielectric structures," Opt. Commun. 160, 66-71 (1999). [CrossRef]
  4. D. N. Chigrin, A. V. Lavrinenko, D. A. Yarotsky, and S. V. Gaponenko, "Observation of total omnidirectional reflection from a one-dimensional dielectric lattice," Appl. Phys. A: Mater. Sci. Process. 68, 25-28 (1999). [CrossRef]
  5. R. D. Meade, A. Devenyi, J. D. Joannopoulos, O. L. Alerhand, D. A. Smith, and K. Kash, "Novel applications of photonic band gap materials: low-loss bends and high Q cavlties," J. Appl. Phys. 75, 4753-4755 (1994). [CrossRef]
  6. S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and E. F. Schubert, "High Extraction Efficiency of Spontaneous Emission from Slabs of Photonic Crystals," Phys. Rev. Lett. 78, 3294-3297 (1997). [CrossRef]
  7. E. Yablonovitch, "Inhibited Spontaneous Emission in Solid-State Physics and Electronics, " Phys. Rev. Lett. 58, 2059-2062 (1987). [CrossRef] [PubMed]
  8. C. Luo, S. G. Johnson, and J. D. Joannopoulos, "All-angle negative refraction in a three-dimensionally periodic photonic crystal," Appl. Phys. Lett. 81, 2352-2354 (2002). [CrossRef]
  9. H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals," Phys. Rev. B 58, R10096-R10099 (1998). [CrossRef]
  10. M. Solja¢cić and J. D. Joannopoulos, "Enhancement of nonlinear effects using photonic crystals," Nature Mater. 3, 211-219 (2004). [CrossRef]
  11. M. Solja¢cić, E. Lidorikis, J. D. Joannopoulos, and L. V. Hau, "Ultralow-power all-optical switching," Appl. Phys. Lett. 86, 171101 (2005). [CrossRef]
  12. D. L. C. Chan,M. Solja¢cić, and J. D. Joannopoulos, "Thermal emission and design in 2D-periodic metallic photonic crystal slabs", Opt. Express 14, 8785 (2006). [CrossRef] [PubMed]
  13. H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Self-collimating phenomena in photonic crystals," Appl. Phys. Lett. 74, 1212-1214 (1999). [CrossRef]
  14. L. Wu, M. Mazilu, and T. F. Krauss, "Beam Steering in Planar-Photonic Crystals:From Superprism to Supercollimator," J. Lightwave Technol. 21, 561-566 (2003). [CrossRef]
  15. D.W. Prather, S. Shi, D. M. Pustai, C. Chen, S. Venkataraman, A. Sharkawy, G. J. Schneider, and J. Murakowski, "Dispersion-based optical routing in photonic crystals," Opt. Express 29, 50-52 (2004).
  16. J. Shin and S. Fan, "Conditions for self-collimation in three-dimensional photonic crystals," Opt. Lett. 30, 2397-2399 (2005). [CrossRef] [PubMed]
  17. P. T. Rakich, M. S Dahlem, S. Tandon, M. Ibanescu, M. Solja¢cić, G. S. Petrich, J. D. Joannopoulos, Leslie A. Kolodziejski, and E. P. Ippen, "Achieving centimetre scale super collimation in a large area 2D photonic crystal," Nature Mater. 5, 93-96 (2006). [CrossRef]
  18. T.-M. Shih, A. Kurs, M. Dahlem, G. Petrich, M. Soljacic, E. Ippen, L. Kolodziejski, K. Hall, and M. Kesler, "Supercollimation in photonic crystals composed of silicon rods," Appl. Phys. Lett. 93, 131111 (2008). [CrossRef]
  19. D. Chigrin, S. Enoch, C. S. Torres, and G. Tayeb, "Self-guiding in two-dimensional photonic crystals," Opt. Express 11, 1203-1211 (2003). [CrossRef] [PubMed]
  20. Ashcroft and Mermin, Solid State Physics (Saunders College, 1976).
  21. M. L. Povinelli, S. G. Johnson, S. Fan, and J. D. Joannopoulos, "Emulation of two-dimensional photonic crystal defect modes in a photonic crystal with a three-dimensional photonic band gap," Phys. Rev. B 64, 075313 (2001). [CrossRef]
  22. As explained in [21], one could embed a slab of our proposed 2D PhC into a 3D PhC having a complete photonic bandgap, and design things in such a way that the extended frequency range supporting supercollimation falls inside the complete bandgap of the 3D PhC. This would prevent radiation losses from the ‘slab version’ of our proposed 2D PhC structure.
  23. D. N. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behaviour in linear and nonlinear waveguide lattices," Nature 424, 817 (2003). [CrossRef] [PubMed]
  24. S. G. Johnson and J. D. Joannopoulos, "Block-iterative frequency-domain methods for Maxwell’s equations in a planewave basis," Opt. Express 8, 173-190 (2001). [CrossRef] [PubMed]
  25. T. Rowan, "Functional Stability Analysis of Numerical Algorithms," Ph.D. thesis, Department of Computer Science, University of Texas at Austin, (1990).
  26. C. Luo, M. Soljacic, and J. D. Joannopoulos, "Superprism effect based on phase velocities," Opt. Lett. 29, 745747 (2004). [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.

Figures

Fig. 1. Fig. 2. Fig. 3.
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited