OSA's Digital Library

Optics Express

Optics Express

  • Editor: J. H. Eberly
  • Vol. 8, Iss. 3 — Jan. 29, 2001
  • pp: 197–202

Applications of the layer-KKR method to photonic crystals

A. Modinos, N. Stefanou, and V. Yannopapas  »View Author Affiliations

Optics Express, Vol. 8, Issue 3, pp. 197-202 (2001)

View Full Text Article

Enhanced HTML    Acrobat PDF (282 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A brief introduction of the layer-Korringa-Kohn-Rostoker method for calculations of the frequency band structure of photonic crystals and of the transmission and reflection coefficients of light incident on slabs of such crystals is followed by two applications of the method. The first relates to the frequency band structure of metallodi-electric composites and demonstrates the essential difference between cermet and network topology of such composites at low frequencies. The second application is an analysis of recent measurements of the reflection of light from a slab of a colloidal system consisting of latex spheres in air.

© Optical Society of America

OCIS Codes
(160.5470) Materials : Polymers
(260.2110) Physical optics : Electromagnetic optics
(260.3910) Physical optics : Metal optics
(290.4210) Scattering : Multiple scattering

ToC Category:
Focus Issue: Photonic bandgap calculations

Original Manuscript: November 13, 2000
Published: January 29, 2001

A. Modinos, N. Stefanou, and Vassilios Yannopapas, "Applications of the layer-KKR method to photonic crystals," Opt. Express 8, 197-202 (2001)

Sort:  Journal  |  Reset  


  1. X. D. Wang, X-G. Zhang, Q. L. Yu, and B. N. Harmon, "Multiple-scattering theory for electro-magnetic waves," Phys. Rev. B 47, 4161-4167 (1993). [CrossRef]
  2. A. Moroz, "Inward and outward integral equations and the KKR method for photons," J. Phys.: Condens. Matter 6, 171-182 (1994). [CrossRef]
  3. A. Moroz, "Three-dimensional complete photonic-band-gap structures in the visible," Phys. Rev. Lett. 83, 5274-5277 (1999). [CrossRef]
  4. K. Ohtaka, "Energy band of photons and low-energy photon diffraction," Phys. Rev. B 19, 5057-5067 (1979). [CrossRef]
  5. K. Ohtaka and Y. Tanabe, "Photonic bands using vector spherical waves. I. Various properties of Bloch electric fields and heavy photons," J. Phys. Soc. Jpn. 65, 2265-2275 (1996). [CrossRef]
  6. N. Stefanou, V. Karathanos, and A. Modinos, "Scattering of electromagnetic waves by periodic structures," J. Phys.: Condens. Matter 4, 7389-7400 (1992). [CrossRef]
  7. N. Stefanou, V. Yannopapas, and A. Modinos, "Heterostructures of photonic crystals: Frequency bands and transmission coefficients," Comput. Phys. Commun. 113, 49-77 (1998). [CrossRef]
  8. N. Stefanou, V. Yannopapas, and A. Modinos, "MULTEM2: A new version of a program for transmission and band-structure calculations of photonic crystals," Comput. Phys. Commun. 132, 189-196 (2000). [CrossRef]
  9. J. B. Pendry and A. MacKinnon, "Calculation of photon dispersion relations," Phys. Rev. Lett. 69, 2772-2775 (1992). [CrossRef] [PubMed]
  10. P. M. Bell, J. B. Pendry, L. Martín-Moreno, and A. J. Ward, "A program for calculating photonic band structures and transmission coefficients of complex structures," Comput. Phys. Commun. 85, 306-322 (1995). [CrossRef]
  11. Y. Qiu, K. M. Leung, L. Cavin, and D. Kralj, "Dispersion curves and transmission spectra of a two-dimensional photonic band-gap crystal-Theory and experiment," J. Appl. Phys. 77, 3631-3636 (1995). [CrossRef]
  12. R. C. McPhedran, L. C. Botten, A. A. Asatryan, N. A. Nicorovici, P. A. Robinson, and C. M. de Sterke, "Ordered and disordered photonic band gap materials," Aust. J. Phys. 52, 791-809 (1999).
  13. V. Yannopapas, A. Modinos and N. Stefanou, "Optical properties of metallodielectric photonic crystals," Phys. Rev. B 60, 5359-5365 (1999). [CrossRef]
  14. R. C. McPhedran, N. A. Nicorovici, L. C. Botten, C. M. de Sterke, P. A. Robinson, and A. A. Asatryan, "Anomalous absorptance by stacked metallic cylinders," Opt. Commun. 168, 47-53 (1999). [CrossRef]
  15. A. Modinos, Field, Thermionic, and Secondary Electron Emission Spectroscopy (Plenum, New York, 1984).
  16. M. P. Pileni, "Nanosized particles made in colloidal assemblies," Langmuir 13, 3266-3276 (1997) [CrossRef]
  17. W. Y. Zhang, X. Y. Lei, Z. L. Wang, D. G. Zheng, W. Y. Tam, C. T. Chan, and P. Sheng, "Robust photonic band gap from tunable scatterers," Phys. Rev. Lett. 84, 2853-2856 (2000). [CrossRef] [PubMed]
  18. O. D. Velev and E. W. Kaler, "Structured porous materials via colloidal crystal templating: from inorganic oxides to metals," Adv. Mater. 12, 531-534 (2000). [CrossRef]
  19. M. Allard, E. Sargent, E. Kumacheva, and O. Kalinina, "Characterization of internal order of colloidal crystals by optical diffraction," Opt. Quant. Elec. (to be published).

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.


Fig. 1. Fig. 2.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited