Modeling of nonlinear pulse propagation in periodic and quasi-periodic binary long-period fiber gratings

Journal of the Optical Society of America B: Optical Physics

Volumn 19, Issue 7, 2002, Pages 1497-1508

  Chern, Gia Wei ^a   Chang, Jui Fen ^a   Wang, Lon A ^a  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFRACTION GRATINGS; LIGHT PROPAGATION; NONLINEAR OPTICS; PHASE SHIFT; SWITCHING;

TRANSFER-MATRIX METHOD;

OPTICAL FIBERS;

EID: 0012417248     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.19.001497     Document Type: Article

References (26)

1. G. I. Stegeman and R. H. Stolen, "Waveguides and fibers for nonlinear optics," J. Opt. Soc. Am. B 6, 652-662 (1989).
2. H. G. Winful, J. H. Marburger, and E. Garmire, "Theory of bistability in nonlinear distributed feedback structures," Appl. Phys. Lett. 28, 379-381 (1979).
3. T. Hattori, N. Tsurumachi, and H. Nakatsuka, "Analysis of optical nonlinearity by defect states in one-dimensional photonic crystals," J. Opt. Soc. Am. B 14, 348-355 (1997).
4. B. J. Eggleton, R. E. Slusher, C. M. de Sterke, P. A. Krug, and J. E. Sipe, "Bragg grating solitons," Phys. Rev. Lett. 76, 1627-1730 (1996).
5. B. J. Eggleton, C. M. de Sterke, R. E. Slusher, and J. E. Sipe, "Distributed feedback pulse generator based on nonlinear fiber grating," Electron. Lett. 32, 2341-2342 (1996).
6. S. M. Jensen, "The nonlinear coherent coupler," IEEE J. Quantum Electron. 18, 1580-1583 (1982).
7. S. R. Friberg, A. M. Weiner, Y. Silberberg, B. G. Sfez, and P. S. Smith, "Femtosecond switching in a dual-core-fiber nonlinear coupler," Opt. Lett. 13, 904-906 (1988).
8. S. Trillo, S. Wabnitz, E. M. Wright, and G. I. Stegeman, "Soliton switching in fiber nonlinear directional couplers," Opt. Lett. 13, 672-674 (1988).
9. S. Trillo, S. Wabnitz, and G. I. Stegeman, "Nonlinear codirectional guided wave mode conversion in grating structures," J. Lightwave Technol. 6, 971-976 (1988).
10. S. Trillo, S. Wabnitz, N. Finlayson, W. C. Banyai, C. T. Seaton, G. I. Stegeman, and R. H. Stolen, "Picosecond nonlinear polarization switching with a fiber filter," Appl. Phys. Lett. 53, 837-839 (1988).
11. H. Kawaguchi, "Proposal for a new all-optical waveguide functional device," Opt. Lett. 10, 411-413 (1985).
12. N. J. Doran and D. Wood, "Soliton processing element for all-optical switching and logic," J. Opt. Soc. Am. B 4, 1843-1846 (1987).
13. N. J. Doran and D. Wood, "Nonlinear-optical loop mirror," Opt. Lett. 13, 56-58 (1988).
14. J. D. Moores, K. Bergman, H. A. Haus, and E. P. Ippen, "Optical switching using fiber ring reflectors," J. Opt. Soc. Am. B 8, 594-601 (1991).
15. A. M. Vengsarkar, P. J. Lemaire, J. B. Judkins, V. Bhatia, T. Erdogan, and J. E. Sipe, "Long-period fiber gratings as band rejection filters," J. Lightwave Technol. 14, 58-65 (1996).
16. B. J. Eggleton, R. E. Slusher, J. B. Judkins, J. B. Stark, and A. M. Vengsarkar, "All-optical switching in long-period fiber gratings," Opt. Lett. 22, 883-885 (1997).
17. J. N. Kutz, B. J. Eggleton, J. B. Stark, and R. E. Slusher, "Nonlinear pulse propagation in long-period fiber gratings: theory and experiment," IEEE J. Sel. Top. Quantum Electron. 3, 1232-1245 (1997).
18. Y. Jeong and B. Lee, "Nonlinear property analysis of long-period fiber gratings using discretized coupled-mode theory," IEEE J. Quantum Electron. 35, 1284-1292 (1999).
19. V. E. Perlin and H. G. Winful, "Nonlinear pulse switching using long-period fiber gratings," J. Lightwave Technol. 18, 329-333 (2000).
20. G. W. Chern and L. A. Wang, "Transfer-matrix method based on perturbation expansion for periodic and quasi-periodic binary long-period gratings," J. Opt. Soc. Am. A 16, 2675-2689 (1999).
21. A. M. Weiner, Y. Silberberg, H. Fouckhardt, D. E. Leaird, M. A. Saifi, M. J. Andrejco, and P. W. Smith, "Use of femtosecond square pulses to avoid pulse breakup in all-optical switching," J. Lightwave Technol. 25, 2648-2655 (1989).
22. T. Erdogan, "Cladding-mode resonances in short- and long-period fiber grating filters," J. Opt. Soc. Am. A 14, 1760-1773 (1997).
23. 22 We shall use the former convention in this paper.
24. G. P. Agrawal, Nonlinear Fiber Optics (Academic, Boston, Mass., 1996).
25. A. W. Snyder, D. J. Mitchell, and L. Poladian, "Linear approach for approximating spatial solitons and nonlinear guided modes," J. Opt. Soc. Am. B 8, 1618-1620 (1991).
26. D. Levine and P. J. Steinhardt, "Quasicrystals. I. Definitions and structures," Phys. Rev. B 34, 596-616 (1986).