OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 3 — Feb. 2, 2009
  • pp: 1844–1853

Multiple scattering of light in three-dimensional photonic quasicrystals

Alexandra Ledermann, Diederik S. Wiersma, Martin Wegener, and Georg von Freymann  »View Author Affiliations


Optics Express, Vol. 17, Issue 3, pp. 1844-1853 (2009)
http://dx.doi.org/10.1364/OE.17.001844


View Full Text Article

Enhanced HTML    Acrobat PDF (1056 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Recent experiments on three-dimensional icosahedral dielectric photonic quasicrystals have shown several unexpected features: transmitted femtosecond pulses developed a trailing “diffusive” exponential tail and the sum of (zeroth-order) transmittance and reflectance was well below unity. These experimental findings have previously been ascribed to sample imperfections. Here, we analyze these findings by using 3D periodic approximants of the ideal photonic quasicrystals. We show that the experimental observations can be explained in terms of multiple scattering of light within these structures, i.e., in terms of intrinsic rather than purely extrinsic quasicrystal properties.

© 2009 Optical Society of America

OCIS Codes
(160.4760) Materials : Optical properties
(290.4210) Scattering : Multiple scattering
(160.5293) Materials : Photonic bandgap materials

ToC Category:
Photonic Crystals

History
Original Manuscript: October 23, 2008
Revised Manuscript: December 17, 2008
Manuscript Accepted: December 17, 2008
Published: January 29, 2009

Citation
Alexandra Ledermann, Diederik S. Wiersma, Martin Wegener, and Georg von Freymann, "Multiple scattering of light in three-dimensional photonic quasicrystals," Opt. Express 17, 1844-1853 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-3-1844


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. P. J. Lu and P. J. Steinhardt, "Decagonal and Quasi-Crystalline Tilings in Medieval Islamic Architecture," Science 315, 1106-1110 (2007). [CrossRef] [PubMed]
  2. B. Grünbaum and G. C. Shephard, Tilings and Patterns (W. H. Freeman and Company, New York, 1986).
  3. D. Shechtman, I. Blech, D. Gratias, and J. W. Cahn, "Metallic Phase with Long-Range Orientational Order and No Translational Symmetry," Phys. Rev. Lett. 53, 1951-1953 (1984). [CrossRef]
  4. W. Man, M. Megens, P. J. Steinhardt, and P. M. Chaikin, "Experimental measurement of the photonic properties of icosahedral quasicrystals," Nature 436, 993-996 (2005). [CrossRef] [PubMed]
  5. A. Ledermann, L. Cademartiri, M. Hermatschweiler, C. Toninelli, G. A. Ozin, D. S. Wiersma, M. Wegener, and G. von Freymann, "Three-dimensional silicon inverse photonic quasicrystals for infrared wavelengths," Nat. Mater. 5, 942-945 (2006). [CrossRef]
  6. A. F. Koenderink, A. Lagendijk, and W. L. Vos, "Optical extinction due to intrinsic structural variations of photonic crystals," Phys. Rev. B 72, 153102:1-4 (2005).
  7. A. W. Rodriguez, A. P. McCauley, Y. Avniel, and S. G. Johnson, "Computation and visualization of photonic quasicrystal spectra via Bloch’s theorem," Phys. Rev. B 77, 104201:1-10 (2008).
  8. C. Janot, Quasicrystals - A Primer (Clarendon Press, Oxford, 1992).
  9. D. M. Whittaker and I. S. Culshaw, "Scattering-matrix treatment of patterned multilayer photonic structures," Phys. Rev. B 60, 2610-2618 (1999). [CrossRef]
  10. M. Deubel, G. von Freymann, M. Wegener, S. Pereira, K. Busch, and C. M. Soukoulis, "Direct laser writing of three-dimensional photonic crystal templates for telecommunications," Nat. Mater. 3, 444-447 (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.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited