OSA's Digital Library

Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 19 — Sep. 23, 2013
  • pp: 22327–22337

Distributed Bragg reflector structures based on PT-symmetric coupling with lowest possible lasing threshold

Mykola Kulishov and Bernard Kress  »View Author Affiliations

Optics Express, Vol. 21, Issue 19, pp. 22327-22337 (2013)

View Full Text Article

Enhanced HTML    Acrobat PDF (876 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A new approach towards the design of optimized distributed Bragg reflector (DBR) structures is proposed by taking advantage of recent developments related to the concept of parity-time (PT) in optics. This approach is based on using unidirectional gratings that provide coupling between co-propagating modes. Such couplers with PT symmetric gratings can provide co-directional mode coupling occurring only in one direction. This specific coupling property is achieved through a combined contribution of superimposed index and gain/loss modulations with same grating periodicity, but shifted with respect to one another by a quarter periods. Based on the transfer matrix approach, the transmission and reflection properties of the structure are modeled. One of the unique characteristics of the structure is very low lasing threshold. Such low threshold can be achieved by 100% reflectivity of the both Bragg grating mirrors, and by releasing the amplified signal in one single direction through a PT symmetric grating assisted co-directional coupler. Besides the lasing applications, the proposed structure can be implemented as an optical memory unit of replicating any input optical waveform.

© 2013 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(050.2230) Diffraction and gratings : Fabry-Perot
(130.0130) Integrated optics : Integrated optics
(140.0140) Lasers and laser optics : Lasers and laser optics
(140.3490) Lasers and laser optics : Lasers, distributed-feedback
(200.0200) Optics in computing : Optics in computing
(200.4490) Optics in computing : Optical buffers

ToC Category:
Lasers and Laser Optics

Original Manuscript: May 28, 2013
Revised Manuscript: August 7, 2013
Manuscript Accepted: September 5, 2013
Published: September 16, 2013

Mykola Kulishov and Bernard Kress, "Distributed Bragg reflector structures based on PT-symmetric coupling with lowest possible lasing threshold," Opt. Express 21, 22327-22337 (2013)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. R. El-Ganainy, K. G. Makris, D. N. Christodoulides, and Z. H. Musslimani, “Theory of coupled optical PT-symmetric structures,” Opt. Lett.32(17), 2632–2634 (2007). [CrossRef] [PubMed]
  2. K. G. Makris, R. El-Ganainy, D. N. Christodoulides, and Z. H. Musslimani, “Beam dynamics in PT symmetric optical lattices,” Phys. Rev. Lett.100(10), 103904 (2008). [CrossRef] [PubMed]
  3. C. M. Bender and S. Boettcher, “Real spectra in non-Hermitian Hamiltonian having PT symmetry,” Phys. Rev. Lett.80(24), 5243 (1998). [CrossRef]
  4. E. M. Graefe and H. F. Jones, “PT-symmetric sinusoidal optical lattices at the symmetry breaking threshold,” Phys. Rev. A84(1), 013818 (2011). [CrossRef]
  5. 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]
  6. 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]
  7. L. Feng, Y.-L. Xu, W. S. Fegadolli, M.-H. Lu, J. E. Oliveira, V. R. Almeida, Y.-F. Chen, and A. Scherer, “Experimental demonstration of a unidirectional reflectionless parity-time metamaterial at optical frequencies,” Nat. Mater.12(2), 108–113 (2012). [CrossRef] [PubMed]
  8. A. Regensburger, C. Bersch, M. A. Miri, G. Onishchukov, D. N. Christodoulides, and U. Peschel, “Parity-time synthetic photonic lattices,” Nature488(7410), 167–171 (2012). [CrossRef] [PubMed]
  9. M. Greenberg and M. Orenstein, “Irreversible coupling by use of dissipative optics,” Opt. Lett.29(5), 451–453 (2004). [CrossRef] [PubMed]
  10. M. Greenberg and M. Orenstein, “Unidirectional complex grating assisted couplers,” Opt. Express12(17), 4013–4018 (2004). [CrossRef] [PubMed]
  11. M. Kulishov, J. M. Laniel, N. Bélanger, and D. V. Plant, “Trapping light in a ring resonator using a grating-assisted coupler with asymmetric transmission,” Opt. Express13(9), 3567–3578 (2005). [CrossRef] [PubMed]
  12. M. A. Miri, P. LiKamWa, and D. N. Christodoulides, “Large area single-mode parity-time-symmtric laser amplifiers,” Opt. Lett.37, 764–766 (2012).
  13. P.-J. Rigole, S. Nilsson, L. Backbom, T. Klinga, J. Wallin, B. Stalnacke, E. Berglind, and B. Stoltz, “114-nm wavelength tuning range of a vertical grating assisted codirectional coupler laser with a super structure grating distributed Bragg reflector,” IEEE Photon. Technol. Lett.7(7), 697–699 (1995). [CrossRef]
  14. L. A. Coldren, G. A. Fish, Y. Akulova, J. S. Barton, L. Johansson, and C. W. Coldren, “Tunable semiconductor lasers: tutorial,” J. Lightwave Technol.22(1), 193–202 (2004). [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