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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry Van Driel
  • Vol. 26, Iss. 6 — Jun. 1, 2009
  • pp: 1248–1255

Analysis of photonic crystals with defects using coupled-mode theory

Vladislav R. Shteeman, Inna Nusinsky, Eli Kapon, and Amos A. Hardy  »View Author Affiliations

JOSA B, Vol. 26, Issue 6, pp. 1248-1255 (2009)

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A mathematical approach is presented that is based on coupled-mode theory (CMT); it is extended to infinite perfect photonic structures and combined with the supercell method for analysis of infinite photonic crystals with introduced point (0D) and linear (1D) defects. This approach shows a strong advantage over most existing techniques in regards to time and consumption of resources, and thus allows one to quickly analyze operational characteristics of different photonic devices [photonic crystal fibers (PCFs), phased arrays of VCSELs, etc.] over a wide range of physical parameters.

© 2009 Optical Society of America

OCIS Codes
(130.0250) Integrated optics : Optoelectronics
(130.3120) Integrated optics : Integrated optics devices
(130.5296) Integrated optics : Photonic crystal waveguides
(230.5298) Optical devices : Photonic crystals

ToC Category:
Photonic Crystals

Original Manuscript: March 3, 2009
Manuscript Accepted: April 6, 2009
Published: May 27, 2009

Vladislav R. Shteeman, Inna Nusinsky, Eli Kapon, and Amos A. Hardy, "Analysis of photonic crystals with defects using coupled-mode theory," J. Opt. Soc. Am. B 26, 1248-1255 (2009)

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  1. A. Snyder, “Coupled-mode theory for optical fibers,” J. Opt. Soc. Am. 62, 1267-1277 (1972). [CrossRef]
  2. V. Shteeman, D. Boiko, E. Kapon, and A. A. Hardy, “Extension of coupled mode analysis to periodic large arrays of identical waveguides for photonic crystals applications,” IEEE J. Quantum Electron. 43, 215-224 (2007). [CrossRef]
  3. V. Shteeman, I. Nusinsly, E. Kapon, and A. A. Hardy, “Extension of coupled mode analysis to infinite photonic superlattices,” IEEE J. Quantum Electron. 44, 826-833 (2008). [CrossRef]
  4. A. A. Hardy and W. Streifer, “Coupled mode theory of parallel waveguides,” J. Lightwave Technol. LT-3, 1135-1146 (1985). [CrossRef]
  5. A. A. Hardy and W. Streifer. “Coupled modes of multiwaveguide systems and phased arrays,” J. Lightwave Technol. LT-4, 90-99 (1986). [CrossRef]
  6. A. A. Hardy and E. Kapon, “Coupled-mode formulations for parallel-laser resonators with application to vertical-cavity semiconductor-laser arrays,” IEEE J. Quantum Electron. 32, 996-971 (1996). [CrossRef]
  7. M. Bayer, T. Gutbrod, A. Forchel, T. Reinecke, P. Knipp, R. Werner, and J. Reithmaier, “Optical demonstration of a crystal band structure formation,” Phys. Rev. Lett. 83, 5374-5377 (1999). [CrossRef]
  8. L. Lundeberg, D. L. Boiko, and E. Kapon, “Coupled islands of photonic crystal heterostructures implemented with vertical-cavity surface-emitting lasers,” Appl. Phys. Lett. 87, 241120 (2005). [CrossRef]
  9. F. Luan, A. George, T. Hedley, G. Pearce, D. Bird, J.C. Knight, and P. St. J. Russell, “All-solid photonic bandgap fiber,” Opt. Lett. 29, 2369-2371 (2004). [CrossRef] [PubMed]
  10. J. C.Knight, J. Broeng, T. Birks, and P. St. J. Russell, “Photonic band gap guidance in optical fibers,” Science 282, 1476-1478 (1998). [CrossRef] [PubMed]
  11. A. Millo, L. Lobachinsky, and A. Katzir, “Single-mode octagonal photonic crystal fibers for the middle infrared,” Appl. Phys. Lett. 92, 021112 (2008). [CrossRef]
  12. K. Sakoda, Optical Properties of Photonic Crystals, (Springer, 2001), pp. 123-142.
  13. J. Joannopoulos, R. Meade, and J. Winn, Photonic Crystals. Molding the Flow of Light (Princeton U. Press, 1995), pp. 54-76.
  14. J. C. Slater and G. F. Koster, “Simplified LCAO method for the periodic potential problem,” Phys. Rev. 94, 1498-1524 (1954). [CrossRef]
  15. M. Punkkinen, T. Korhonen, K. Kokko, and I. Väyrynen, “The electronic band structure of Si/SiO2-superlattices: A first-principles study,” Phys. Status Solidi B 214, r17-r18 (1999). [CrossRef]
  16. R. Grimes, A. Catlow, and A. Shluger, Quantum Mechanical Cluster Calculations in Solid State Studies (World Scientific, 1992), pp. 168-171.
  17. R. Evarestov, Quantum Chemistry of Solids (Springer, 2007), pp. 105-140.
  18. P. Hertel, Lectures on Theoretical Physics. Dielectric Waveguides (U. Osnabrueck, 2005), pp. 16-19.
  19. L. Landau and E. Lifschitz, Quantum Mechanics: Non-relativistic Theory (Butterworth Heinemann, 2003), pp. 177-182.

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