Theory of modulational instability in fiber Bragg gratings

Journal of the Optical Society of America B: Optical Physics

Volumn 15, Issue 11, 1998, Pages 2660-2667

  De Sterke, C Martijn ^a,b  

^a UNIVERSITY OF SYDNEY   (Australia)

^b Australian Photonics Coop Res Ctr   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

BAND STRUCTURE; DIFFRACTION GRATINGS; ELECTRIC FIELD EFFECTS; ELECTROMAGNETIC DISPERSION; FREQUENCY STABILITY; LIGHT MODULATION; NONLINEAR EQUATIONS; OPTICAL FIBER COUPLING; PARTIAL DIFFERENTIAL EQUATIONS; REFRACTIVE INDEX;

COUPLE MODE THEORY; FIBER BRAGG GRATINGS; MODULATIONAL INSTABILITY; NONLINEAR SCHRODINGER EQUATIONS; PHOTONIC BAND GAP;

OPTICAL FIBERS;

EID: 0000948089     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.15.002660     Document Type: Article

References (17)

1. G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, San Diego, 1995).
2. A. L. Berkhoer and V. E. Zakharov, "Self-excitation of waves with different polarizations in nonlinear media," Sov. Phys. JETP 31, 486-490 (1970).
3. P. D. Drummond, T. A. B. Kennedy, J. M. Dudley, R. Leonhardt, and J. D. Harvey, "Cross-phase modulation instability in high-birefringence fibers," Opt. Commun. 78, 137-141 (1990).
4. J. Rothenberg, "Modulational instability for normal dispersion," Phys. Rev. A 42, 682-685 (1990).
5. S. G. Murdoch, R. Leonhardt, and J. D. Harvey, "Polarization modulation instability in weakly birefringent fibers," Opt. Lett. 20, 866-868 (1995).
6. G. P. Agrawal, "Modulational instability induced by cross-phase modulation," Phys. Rev. Lett. 59, 880-883 (1987).
7. A. S. Gouveia-Neto, M. E. Faldon, A. S. B. Bombra, P. G. J. Wigley, and J. R. Taylor, "Subpicosecond-pulse generation through cross-phase-modulation-induced modulational instability in optical fibers," Opt. Lett. 13, 901-903 (1988).
8. B. J. Eggleton, C. M. de Sterke, R. E. Slusher, and J. E. Sipe, "Distributed feedback pulse generator based on nonlinear fibre grating," Electron. Lett. 32, 2341-2342 (1996).
9. B. J. Eggleton, C. M. de Sterke, and R. E. Slusher, "Nonlinear pulse propagation in Bragg gratings," J. Opt. Soc. Am. B 14, 2980-2993 (1997).
10. B. J. Eggleton, C. Martijn de Sterke, A. B. Aceves, J. E. Sipe, T. A. Strasser, and R. E. Slusher, "Modulational instability and multiple soliton generation in apodized fiber gratings," Opt. Commun. 149, 267-271 (1998).
11. C. Martijn de Sterke and J. E. Sipe, "Gap solitons," Prog. Opt. 33, 203-260 (1994).
12. C. M. de Sterke and J. E. Sipe, "Coupled modes and the nonlinear Schrödinger equation," Phys. Rev. A 42, 550-555 (1990).
13. H. G. Winful, R. Zamir, and S. Feldman, "Modulational instability in nonlinear periodic structures: implications for gap solitons," Appl. Phys. Lett. 58, 1001-1003 (1991).
14. C. M. de Sterke, "Stability analysis of nonlinear periodic media," Phys. Rev. A 45, 8252-8258 (1992).
15. A. B. Aceves, C. de Angelis, and S. Wabnitz, "Generation of solitons in a nonlinear periodic medium," Opt. Lett. 17, 1566-1568 (1992).
16. R. Kashyap, H.-G. Froehlich, A. Swanton, and D. J. Armes, "1.3-m Long super-step-chirped fibre Bragg grating with a continuous delay of 13.5 ns and bandwidth 10 nm for broadband dispersion compensation," Electron. Lett. 32, 1807-1809 (1996).
17. J. Feng and F. K. Kneubühl, "Solitons in a periodic structure with Kerr nonlinearity," IEEE J. Quantum Electron. 29, 590-598 (1993).