OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry Van Driel
  • Vol. 26, Iss. 4 — Apr. 1, 2009
  • pp: 684–690

Coupled-wave analysis of second-order Bragg diffraction. I. Reflection-type phase gratings

M. V. Vasnetsov, V. Yu. Bazhenov, S. S. Slussarenko, and G. Abbate  »View Author Affiliations

JOSA B, Vol. 26, Issue 4, pp. 684-690 (2009)

View Full Text Article

Enhanced HTML    Acrobat PDF (362 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Coupled-wave analysis was applied to the problem of optical wave diffraction in a thick reflection-type phase grating in a condition of second-order Bragg regime. Within the approximation of two resonant waves in a medium with phase (refractive index) modulation, an analytical formula was derived for the diffraction efficiency. A shift of the maximum of a diffraction efficiency contour from the position determined by vector synchronism (second-order Bragg resonance) was detected.

© 2009 Optical Society of America

OCIS Codes
(050.7330) Diffraction and gratings : Volume gratings
(140.3490) Lasers and laser optics : Lasers, distributed-feedback

ToC Category:
Diffraction and Gratings

Original Manuscript: December 4, 2008
Manuscript Accepted: January 17, 2009
Published: March 16, 2009

M. V. Vasnetsov, V. Yu. Bazhenov, S. S. Slussarenko, and G. Abbate, "Coupled-wave analysis of second-order Bragg diffraction. I. Reflection-type phase gratings," J. Opt. Soc. Am. B 26, 684-690 (2009)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. M. V. Vasnetsov, V. Yu. Bazhenov, S. S. Slussarenko, O. Sakhno, J. Stumpe, and G. Abbate, “First approach to the analysis of the lasing conditions in POLIPHEM© structures,” Mol. Cryst. Liq. Cryst. 488, 135-147 (2008). [CrossRef]
  2. H. Kogelnik and C. V. Shank, “Stimulated emission in periodic structure,” Appl. Phys. Lett. 18, 152-154 (1971). [CrossRef]
  3. J. E. Bjorkholm and C. V. Shank, “Higher-order distributed feedback oscillators,” Appl. Phys. Lett. 20, 306-308 (1972). [CrossRef]
  4. A. Saliminia, A. Villeneuve, T. V. Galstian, S. LaRoshelle, and K. Richardson, “First- and second-order Bragg gratings in single-mode planar waveguides of chalcogenide glasses,” J. Lightwave Technol. 17, 837-842 (1999). [CrossRef]
  5. R. Alferness, “Analysis of propagation at the second-order Bragg angle of a thick holographic grating,” J. Opt. Soc. Am. 66, 353-362 (1976). [CrossRef]
  6. M. G. Moharam and T. K. Gaylord, “Rigorous coupled-wave analysis of planar-grating diffraction,” J. Opt. Soc. Am. 71, 811-818 (1981). [CrossRef]
  7. H. Wenzel, R. Güthel, and A. M. Shams-Zadeh-Amiri, “A comparative study of higher order Bragg gratings: coupled-mode theory versus mode expansion modeling,” IEEE J. Quantum Electron. 42, 64-70 (2006). [CrossRef]
  8. H. Kogelnik, “Coupled wave theory for thick hologram gratings,” Bell Syst. Tech. J. 48, 2910-2947 (1969).
  9. R. S. Chu and T. Tamir, “Guided-wave theory of light diffraction by acoustic microwaves,” IEEE Trans. Microwave Theory Tech. MTT-18, 486-504 (1970). [CrossRef]
  10. G. A. Korn and T. M. Korn, Mathematical Handbook (McGraw-Hill, 1961).

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