Normal-mode analysis of switching dynamics in nonlinear directional couplers

Journal of Lightwave Technology

Volumn 31, Issue 15, 2013, Pages 2639-2646

  Ogusu, Kazuhiko ^a   Li, Hongpu ^a  

^a SHIZUOKA UNIVERSITY   (Japan)

Author keywords

Four wave mixing; integrated optics; Kerr effect; nonlinear optical devices; optical pulses

Indexed keywords

COUPLED-MODE THEORY; FREQUENCY COMPONENTS; MULTI-MODE WAVEGUIDES; NONLINEAR DIRECTIONAL COUPLERS; NONLINEAR OPTICAL DEVICES; NORMAL MODE ANALYSIS; SPECTRAL BROADENING; SWITCHING DYNAMICS;

DIRECTIONAL COUPLERS; FOUR WAVE MIXING; GROUP DELAY; INTEGRATED OPTICS; LASER PULSES; OPTICAL KERR EFFECT;

OPTICAL WAVEGUIDES;

EID: 84881172773     PISSN: 07338724     EISSN: None     Source Type: Journal    
DOI: 10.1109/JLT.2013.2272467     Document Type: Article

References (27)

1. L. B. Soldano and E. C.M. Pennings, "Optical multi-mode interference devices based on self-imaging: Principles and applications," J. Lightw. Technol., vol. 13, no. 4, pp. 615-627, Apr. 1995.
2. M. Shamonin, M. Lohmeyer, and P. Hertel, "Analysis of power-dependent switching between radiatively coupled planar waveguides," J. Lightw. Technol., vol. 15, no. 6, pp. 983-989, Jun. 1997. (Pubitemid 127601695)
3. J. S. Rodgers, S. E. Ralph, and R. P. Kenan, "Self-guiding multimode interference threshold switch," Opt. Lett., vol. 25, no. 23, pp. 1717-1719, 2000.
4. G.-J. Liu, B.-M. Liang, Q. Li, and G.-L. Jin, "Beam propagation in nonlinear multimode interference waveguide," J. Opt. A, Pure Appl. Opt., vol. 7, pp. 457-462, 2005. (Pubitemid 41164809)
5. K. Ogusu, "All-optical switching in nonlinear multimode interference couplers," Jpn. J. Appl. Phys., vol. 51, pp. 082503-1-082503-5, 2012.
6. R. Ghayour, A. N. Taheri, and M. T. Fathi, "IntegratedMach- Zehnderbased 2 2 all-optical switch using nonlinear two-mode interference waveguide," Appl. Opt., vol. 47, no. 5, pp. 632-638, 2008. (Pubitemid 351584587)
7. A. J.Whang and S.-M. Chao, "Multimode interference all-optical logic gates via partially nonlinear propagation region," Opt. Rev., vol. 10, no. 5, pp. 346-351, 2003. (Pubitemid 37534505)
8. T. Chaipiboonwong, P. Horak, J. D.Mills, andW. S. Brocklesby, "Numerical study of nonlinear interactions in a multimode waveguide," Opt. Exp., vol. 15, no. 14, pp. 9040-9047, 2007. (Pubitemid 47112518)
9. F. Poletti and P. Horak, "Dynamics of femtosecond supercontinuum generation in multimode fibers," Opt. Exp., vol. 17, no. 8, pp. 6134-6147, 2009.
10. G. P. Agrawal, Nonlinear Fiber Optics, 4th ed. New York, NY, USA: Academic, 2006, ch. 2, 7, and 10.
11. K. Ogusu and H. Li, "Pulse response of nonlinear multimode interference couplers," J. Lightw. Technol., submitted for publication.
12. S. M. Jensen, "The nonlinear coherent coupler," IEEE J. Quantum Electron., vol. QE-18, no. 10, pp. 1580-1583, Oct. 1982.
13. S. Trillo, S. Wabnitz, E. M. Wright, and G. I. Stegeman, "Soliton switching in fiber nonlinear directional couplers," Opt. Lett., vol. 13, no. 8, pp. 672-674, 1988.
14. N. Akhmediev and A. Ankiewicz, "Novel soliton states and bifurcation phenomena in nonlinear fiber couplers," Phys. Rev. Lett., vol. 70, no. 16, pp. 2395-2398, 1993.
15. K. S. Chiang, "Coupled-mode equations for pulse switching in parallel waveguides," IEEE J. Quantum Electron., vol. 33, no. 6, pp. 950-954, Jun. 1997. (Pubitemid 127626271)
16. P.M. Ramos and C. R. Paiva, "All-optical pulse switching in twin-core fiber couplers with intermodal dispersion," IEEE J. Quantum Electron., vol. 35, no. 6, pp. 983-989, Jun. 1999.
17. S. Droulias, M. Manousakis, and K. Hizanidis, "Switching dynamics in nonlinear directional fiber couplers with intermodal dispersion," Opt. Commun., vol. 240, pp. 209-219, 2004.
18. K. S. Chiang, "Propagation of short optical pulses in directional couplers with Kerr nonlinearity," J. Opt. Soc. Amer. B, Opt. Phys., vol. 14, no. 6, pp. 1437-1443, 1997. (Pubitemid 127569418)
19. A.-P. Luo, W.-C. Xu, W.-C. Chen, and H. Cui, "Switching dynamic analysis for twin-core fiber coupler using supermode theory," Chin. Phys. Lett., vol. 23, no. 2, pp. 381-384, 2006. (Pubitemid 43177852)
20. K. Okamoto, Fundamentals of Optical Waveguides, 2nd ed. New York, NY, USA: Academic, 2006, ch. 7.
21. R. H. Stolen and J. E. Bjorkholm, "Parametric amplification and frequency conversion in optical fibers," IEEE J. Quantum Electron., vol. 18, no. 7, pp. 1062-1072, Jul. 1982.
22. Y. Silberberg and G. I. Stegeman, "Nonlinear coupling of waveguide modes," Appl. Phys. Lett., vol. 50, no. 13, pp. 801-803, 1987.
23. H. Kogelnik and H. P. Weber, "Rays, stored energy, power flow in dielectric waveguides," J. Opt. Soc. Amer., vol. 64, no. 2, pp. 174-185, 1974.
24. K. Ogusu, J. Yamasaki, S.Maeda,M. Kitao, andM.Minakata, "Linear and nonlinear optical properties of Ag-As-Se chalcogenide glasses for all-optical switching," Opt. Lett., vol. 29, no. 3, pp. 265-267, 2004.
25. J. H. Li, K. S. Chiang, and K. W. Chow, "Modulation instabilities in two-core optical fibers," J. Opt. Soc. Amer. B, Opt. Phys., vol. 28, no. 7, pp. 1693-1701, 2011.
26. J. E. Rothenberg, "Modulational instability for normal dispersion," Phys. Rev. A, Gen. Phys., vol. 42, no. 1, pp. 682-685, 1990.
27. P.D.Drummond, T. A. B. Kennedy, J. M. Dudley, R. Leonhardt, and J. D. Harvey, "Cross-phasemodulational instability in high-birefringence fibers," Opt. Commun., vol. 78, no. 2, pp. 137-142, 1990.