OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 21, Iss. 7 — Jul. 1, 2004
  • pp: 1334–1343

Analysis of arbitrary defects in photonic crystals by use of the source-model technique

Alon Ludwig and Yehuda Leviatan  »View Author Affiliations


JOSA A, Vol. 21, Issue 7, pp. 1334-1343 (2004)
http://dx.doi.org/10.1364/JOSAA.21.001334


View Full Text Article

Enhanced HTML    Acrobat PDF (1470 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A novel method derived from the source-model technique is presented to solve the problem of scattering of an electromagnetic plane wave by a two-dimensional photonic crystal slab that contains an arbitrary defect (perturbation). In this method, the electromagnetic fields in the perturbed problem are expressed in terms of the field due to the periodic currents obtained from a solution of the corresponding unperturbed problem plus the field due to yet-to-be-determined correction current sources placed in the vicinity of the perturbation. Appropriate error measures are suggested, and a few representative structures are presented and analyzed to demonstrate the versatility of the proposed method and to provide physical insight into waveguiding and defect coupling mechanisms typical of finite-thickness photonic crystal slabs.

© 2004 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(050.1950) Diffraction and gratings : Diffraction gratings
(130.2790) Integrated optics : Guided waves
(230.5750) Optical devices : Resonators
(250.5300) Optoelectronics : Photonic integrated circuits

History
Original Manuscript: November 24, 2003
Revised Manuscript: March 1, 2004
Manuscript Accepted: March 1, 2004
Published: July 1, 2004

Citation
Alon Ludwig and Yehuda Leviatan, "Analysis of arbitrary defects in photonic crystals by use of the source-model technique," J. Opt. Soc. Am. A 21, 1334-1343 (2004)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-7-1334


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. E. Yablonovitch, T. J. Gmitter, K. M. Leung, “Photonic band structure: the face-centered-cubic case,” Phys. Rev. Lett. 63, 1950–1957 (1989). [CrossRef] [PubMed]
  2. J. D. Joannoppulos, R. D. Meade, J. N. Winn, Photonic Crystals (Princeton U. Press, Princeton, N. J., 1995).
  3. H. Mosallaei, Y. Rahmat-Samii, “Periodic bandgap and effective dielectric materials in electromagnetics: characterization and application in nanocavities and waveguides,” IEEE Trans. Antennas Propag. 51, 549–563 (2003). [CrossRef]
  4. S. G. Johnson, A. Mekis, S. Fan, J. D. Joannopoulos, “Molding the flow of light,” Comput. Sci. Eng. 3, 38–47 (2001). [CrossRef]
  5. E. Centeno, D. Felbacq, “Guiding waves with photonic crystals,” Opt. Commun. 160, 57–60 (1999). [CrossRef]
  6. G. Tayeb, D. Maystre, “Rigorous theoretical study of finite-size two-dimensional photonic crystals doped by microcavities,” J. Opt. Soc. Am. A 14, 3323–3332 (1997). [CrossRef]
  7. L. C. Botten, A. A. Asatryan, T. N. Langtry, T. P. White, C. M. de Sterke, R. C. McPhedran, “Semianalytic treatment for propagation in finite photonic crystals waveguides,” Opt. Lett. 28, 854–856 (2003). [CrossRef] [PubMed]
  8. A. Boag, B. Z. Steinberg, “Narrow-band microcavity waveguides in photonic crystals,” J. Opt. Soc. Am. A 18, 2799–2805 (2001). [CrossRef]
  9. K. Busch, S. F. Mingaleev, A. G. Martin, M. Schillinger, D. Hermann, “The Wannier function approach to photonic crystal circuits,” J. Phys. Condens. Matter 15, 1233–1256 (2003). [CrossRef]
  10. Y. Leviatan, A. Boag, A. Boag, “Generalized formulations for electromagnetic scattering from perfectly conducting and homogeneous material bodies—theory and numerical solutions,” IEEE Trans. Antennas Propag. 36, 1722–1734 (1988). [CrossRef]
  11. A. Boag, Y. Leviatan, A. Boag, “Analysis of two-dimensional electromagnetic scattering from a periodic grating of cylinders using a hybrid current model,” Radio Sci. 23, 612–624 (1988). [CrossRef]
  12. A. Ludwig, Y. Leviatan, “Analysis of bandgap characteristics of two-dimensional periodic structures by using the source-model technique,” J. Opt. Soc. Am. A 20, 1553–1562 (2003). [CrossRef]
  13. E. Centeno, D. Felbacq, “Characterization of defect modes in finite bidimensional photonic crystals,” J. Opt. Soc. Am. A 16, 2705–2712 (1999). [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