Dynamic characteristics of nonlinear Bragg gratings in photonic crystal fibres

Optical and Quantum Electronics

Volumn 39, Issue 4-6, 2007, Pages 455-467

  Antkowiak, MacIej ^a   Kotyński, Rafał ^a,c   Panajotov, Krassimir ^a,d   Berghmans, Francis ^a,b   Thienpont, Hugo ^a  

^a VRIJE UNIVERSITEIT BRUSSEL   (Belgium)

^b BELGIAN NUCLEAR RESEARCH CENTRE   (Belgium)

^c UNIVERSITY OF WARSAW   (Poland)

^d INSTITUTE OF SOLID STATE PHYSICS   (Bulgaria)

Author keywords

Nonlinear Bragg gratings; Nonlinear dynamics; Photonic crystal fibres

Indexed keywords

NONLINEAR COUPLED-MODE EQUATIONS; PLANE WAVE MODE SOLVER; REFLECTED LIGHT; SPATIAL DYNAMICS;

BRAGG GRATINGS; HOPF BIFURCATION; MATHEMATICAL MODELS; PARAMETER ESTIMATION; PHOTONIC CRYSTALS; RUNGE KUTTA METHODS;

FIBER OPTICS;

EID: 36048956730     PISSN: 03068919     EISSN: 1572817X     Source Type: Journal    
DOI: 10.1007/s11082-007-9101-9     Document Type: Article

References (16)

1. Aceves A., De Angelis C., Wabnitz S. (1992). Generation of solitons in a nonlinear periodic medium. Opt. Lett. 17(22): 1566-1568
2. Antkowiak M., Kotynski R., Panajotov K., Berghmans F., Thienpont H. (2006). Numerical analysis of highly birefringent photonic crystal fibers with Bragg reflectors. Opt. Quantum Electron. 38: 535-545
3. de Sterke C., Sipe J. (1990). Switching dynamics of finite periodic nonlinear media: a numerical study. Phys. Rev. A 42(5): 2858-2869
4. de Sterke C.M., Jackson K.R., Robert B.D. (1991). Nonlinear coupled-mode equations on a finite interval: a numerical procedure. J. Opt. Soc. Am. B 8: 403-412
5. Ebendorff-Heidepriem H., Petropoulos P., Asimakis S., Finazzi V., Moore R., Frampton K., Koizumi F., Richardson D., Monro T. (2004). Bismuth glass holey fibers with high nonlinearity. Opt. Express 12: 5082-5087
6. Efimov A., Taylor A., Omenetto F., Yulin A., Joly N., Biancalana F., Skryabin D., Knight J., Russell P. (2004). Time-spectrally-resolved ultrafast nonlinear dynamics in small-core photonic crystal fibers: experiment and modelling. Opt. Express 12: 6498-6507
7. Erdogan T. (1997). Fiber grating spectra. J. Lightwave Technol. 15: 1277-1294
8. Kotynski R., Antkowiak M., Berghmans F., Thienpont H., Panajotov K. (2005). Photonic crystal fibers with material anisotropy. Opt. Quantum Electron. 37: 253-264
9. Lee H., Agrawal G.P. (2003). Nonlinear switching of optical pulses on fiber Bragg gratings. IEEE J. Quantum Electron. 39: 508-515
10. Leon J., Spire A. (2004). Gap soliton formation by nonlinear supratransmission in Bragg media. Phys. Lett. A 327(5-6): 474-480
11. Leong J.Y.Y., Petropoulos P., Price J.H.V., Ebendorff-Heidepriem H., Asimakis S., Moore R.C., Frampton K.E., Finazzi V., Feng X., Monro T.M., Richardson D.J. (2006). High-nonlinearity dispersion-shifted lead-silicate holey fibers for efficient 1-um pumped supercontinuum generation. J. Lightwave Technol. 24: 183-190
12. Pelinovsky D., Sargent E.H. (2002). Stable all-optical limiting in nonlinear periodic structures. II. Computations. J. Opt. Soc. Am. B 19: 1873-1889
13. Winful H., Cooperman G. (1982). Self-pulsing and chaos in distributed feedback bistable optical devices. Appl. Phys. Lett. 40(4): 298-300
14. Winful H., Marburger J., Garmire E. (1979). Theory of bistability in nonlinear distributed feedback structures. Appl. Phys. Lett. 35: 379-381
15. Winful H., Zamir R., Feldman S. (1991). Modulational instability in nonlinear periodic structures: implications for "gap solitons". Appl. Phys. Lett. 58(10): 1001-1003
16. Yosia S.P., Chao L. (2005). Bistability threshold inside hysteresis loop of nonlinear fiber Bragg gratings. Opt. Express 13: 5127-5135