OSA's Digital Library

Journal of Lightwave Technology

Journal of Lightwave Technology


  • Vol. 25, Iss. 7 — Jul. 1, 2007
  • pp: 1870–1878

The Leaky Mode Resonance Condition Ensures 100% Diffraction Efficiency of Mirror-Based Resonant Gratings

Manuel Flury, Alexandre V. Tishchenko, and Olivier Parriaux

Journal of Lightwave Technology, Vol. 25, Issue 7, pp. 1870-1878 (2007)

View Full Text Article

Acrobat PDF (533 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

  • Export Citation/Save Click for help


The resonance condition of a leaky mode propagating in a dielectric multilayer, which is supported by a mirror and excited by a free-space wave from the cover medium, is simply derived from the phase of the reflection at the mirror and cover interfaces. The leaky mode resonance is used to obtain 100% first-order diffraction efficiency in a reflection resonant grating by destructive interference in the direction of Fresnel reflection. A number of examples support the validity of this condition for high efficiency and illustrate the usefulness of this intelligible representation of the diffraction phenomena for the synthesis of novel diffractive elements.

© 2007 IEEE

Manuel Flury, Alexandre V. Tishchenko, and Olivier Parriaux, "The Leaky Mode Resonance Condition Ensures 100% Diffraction Efficiency of Mirror-Based Resonant Gratings," J. Lightwave Technol. 25, 1870-1878 (2007)

Sort:  Year  |  Journal  |  Reset


  1. G. A. Golubenko, A. S. Svakhin, V. A. Sychugov, A. V. Tishchenko, "Total reflection of light from a corrugated surface of a dielectric waveguide," Sov. J. Quantum Electron. 15, 886-887 (1985).
  2. N. Destouches, A. V. Tishchenko, J. C. Pommier, S. Reynaud, O. Parriaux, S. Tonchev, M. Abdou Ahmed, "99% efficiency measured in the -1st order of a resonant grating," Opt. Express 13, 3230-3235 (2005).
  3. B. Touzet, J. R. Gilchrist, "Multilayer dielectric gratings enable more powerful high energy lasers," Photonics Spectra 68-75 (2003).
  4. I. A. Avrutsky, V. A. Sychugov, "Reflection of a beam of finite size from a corrugated waveguide," J. Mod. Opt. 36, 1527-1539 (1989).
  5. I. A. Avrutskii, P. Duraev, E. T. Nedelin, A. M. Prokhorov, A. S. Svakhin, V. A. Sychugov, A. V. Tishchenko, "Optimization of the characteristics of a dispersive element based on a corrugated waveguide ," Sov. J. Quantum Electron. 18, 362-365 (1988).
  6. A. V. Tishchenko, V. A. Sychugov, "High grating efficiency by energy accumulation in a leaky mode," Opt. Quantum Electron. 32, 1027-1031 (2000).
  7. H. Kogelnik, Guided Wave Optoelectronics (Springer Verlag, 1988) pp. 3-88.
  8. J.-D. Decotiginie, O. Parriaux, F. E. Gardiol, "Wave propagation in lossy and leaky planar optical waveguides," Int. J. Electron. Commun. (AEÜ) 35, 201-204 (1981).
  9. D. Poitras, S. Larouche, L. Martinu, "Design and plasma deposition of dispersion-corrected multiband rugate filters," Appl. Opt. 41, 5249-5255 (2002).
  10. V. A. Sychugov, B. A. Usievich, K. E. Zinoviev, O. Parriaux, "Autocollimation diffraction gratings based on waveguides with leakage modes," Quantum Electron. 30, 1094-1098 (2000).
  11. J. A. Britten, M. D. Perry, B. W. Shore, R. D. Boyd, G. E. Loomis, R. Chow, "High-efficiency, dielectric multilayer gratings optimized for manufacturability and laser damage threshold (published conference proceedings style)," Proc. SPIE Int. Soc. Opt. Eng. (1996) pp. 511-520.
  12. A. V. Tishchenko, "Phenomological representation of deep and high contrast lamellar gratings by means of the modal method," Opt. Quantum Electron. 37, 309-330 (2005).
  13. J. Chandezon, M. T. Dupuis, G. Cornet, D. Maystre, "Multicoated gratings: A differential formalism applicable in the entire optical region ," J. Opt. Soc. Amer. 72, 839-846 (1982).

Cited By

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

OSA is a member of CrossRef.

CrossCheck Deposited