OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 28 — Dec. 31, 2012
  • pp: 29319–29328

Free space diffraction on active gratings with balanced phase and gain/loss modulations

Mykola Kulishov and Bernard Kress  »View Author Affiliations


Optics Express, Vol. 20, Issue 28, pp. 29319-29328 (2012)
http://dx.doi.org/10.1364/OE.20.029319


View Full Text Article

Enhanced HTML    Acrobat PDF (880 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A theoretical analysis of asymmetrical diffraction in Raman-Nath, intermediate and Bragg diffraction regimes is presented. The asymmetry is achieved by combining matched periodic modulations of the phase and of the loss/gain of the material, which enables the breakdown of optical symmetry and redirects all resulting optical energy in only positive or only negative diffraction orders, depending on the quarter period shift directions between the phase and the loss/gain modulations. Analytic expressions for the amplitudes of the diffraction orders are derived based on rigorous multimode coupled mode equations in slowly varying amplitude approximation.

© 2012 OSA

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(050.1960) Diffraction and gratings : Diffraction theory
(090.0090) Holography : Holography
(090.1970) Holography : Diffractive optics
(090.2890) Holography : Holographic optical elements
(140.4480) Lasers and laser optics : Optical amplifiers
(230.1950) Optical devices : Diffraction gratings

ToC Category:
Diffraction and Gratings

History
Original Manuscript: November 8, 2012
Revised Manuscript: December 12, 2012
Manuscript Accepted: December 12, 2012
Published: December 18, 2012

Citation
Mykola Kulishov and Bernard Kress, "Free space diffraction on active gratings with balanced phase and gain/loss modulations," Opt. Express 20, 29319-29328 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-28-29319


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. H. Kogelnik, “Coupled wave theory for thick hologram gratings,” Bell Syst. Tech. J.48, 2909–2947 (1969).
  2. E. Guibelalde, “Coupled wave analysis for out-of-phase mixed thick hologram gratings,” Opt. Quantum Electron.16(2), 173–178 (1984). [CrossRef]
  3. C. Neipp, I. Pascual, and A. Belendez, “Experimental evidence of mixed gratings with a phase difference between the phase and amplitude grating in volume holograms,” Opt. Express10(23), 1374–1383 (2002). [CrossRef] [PubMed]
  4. M. Fally, M. Ellabban, and I. Drevensek-Olenik, “Out-of-phase holographic gratings: a quantitative analysis,” Opt. Express16(9), 6528–6536 (2008). [CrossRef] [PubMed]
  5. M. V. Vasnetsov, “Oscillations conditions in a gain grating in the Bragg diffraction regime,” Opt. Commun.282(10), 2028–2031 (2009). [CrossRef]
  6. M. Chang and N. George, “Holographic dielectric Grating: theory and practice,” Appl. Opt.9(3), 713–719 (1970). [CrossRef] [PubMed]
  7. G. G. Zakharyan and A. V. Galstyan, “Mixed phase and absorption this gratings diffraction,” Opto-Electron. Rev.15(1), 20–26 (2007). [CrossRef]
  8. H. Kogelnik and C. V. Shank, “Coupled‐wave theory of distributed feedback lasers,” J. Appl. Phys.43(5), 2327–2335 (1972). [CrossRef]
  9. L. Poladian, “Resonance mode expansions and exact solutions for nonuniform gratings,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics54(3), 2963–2975 (1996). [CrossRef] [PubMed]
  10. M. V. Berry, “Lop-sided diffraction by absorbing crystals,” J. Phys. Math. Gen.31(15), 3493–3502 (1998). [CrossRef]
  11. M. Greenberg and M. Orenstein, “Irreversible coupling by use of dissipative optics,” Opt. Lett.29(5), 451–453 (2004). [CrossRef] [PubMed]
  12. M. Kulishov, J. M. Laniel, N. Bélanger, J. Azaña, and D. V. Plant, “Nonreciprocal waveguide Bragg gratings,” Opt. Express13(8), 3068–3078 (2005). [CrossRef] [PubMed]
  13. T. K. Gaylord and M. G. Moharam, “Thin and thick gratings: terminology clarification,” Appl. Opt.20(19), 3271–3273 (1981). [CrossRef] [PubMed]
  14. R. Birabassov, A. Yesayan, and T. V. Galstyan, “Nonreciprocal diffraction by spatial modulation of absorption and refraction,” Opt. Lett.24(23), 1669 (1999). [CrossRef]
  15. T. K. Gaylord and M. G. Moharam, “Analysis and applications of optical diffraction by gratings,” Proc. IEEE73(5), 894–937 (1985). [CrossRef]
  16. M. G. Moharam, T. K. Gaylord, and R. Magnusson, “Criteria for Raman-Nath regime diffraction by phase gratings,” Opt. Commun.32(1), 19–23 (1980). [CrossRef]
  17. L. K. Oxenlowe, R. Slavik, M. Galili, H. C. H. Mulvad, A. T. Clausen, J. Yongwoo Park, Azana, and P. Jeppesen, “640 Gb/s timing jitter-tolerant data processing using a long-period fiber-grating-based flat-top pulse shaper,” IEEE J. Sel. Top. Quantum Electron.14(3), 566–572 (2008). [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