Mode-locked X-wave lasers

Optics Express

Volumn 15, Issue 24, 2007, Pages 16022-16028

  Kutz, J Nathan ^a   Conti, Claudio ^b,c   Trillo, Stefano ^c,d  

^a UNIVERSITY OF WASHINGTON   (United States)

^b MUSEO STORICO DELLA FISICA E CENTRO STUDI E RICERCHE ENRICO FERMI   (Italy)

^c SAPIENZA UNIVERSITY OF ROME   (Italy)

^d UNIVERSITY OF FERRARA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFRACTION; DISPERSION (WAVES); LASER MODE LOCKING; NONLINEAR ANALYSIS; WAVEGUIDES;

NONLINEAR DISCRETE DIFFRACTION DYNAMICS; SPATIO-TEMPORAL X-WAVES; X-WAVES;

LASERS;

EID: 36749092238     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.15.016022     Document Type: Article

References (36)

1. J. Lu and J. F. Greenleaf, "Nondiffracting X waves-exact solutions to free-space scalar waveequation and their finite aperture realizations," IEEE Trans. Ultrason. Ferrelec. Freq. contr. 39, 19-31 (1992).
2. P. Saari and K. Reivelt, "Evidence of X-Shaped Propagation-Invariant Localized Light Waves," Phys. Rev. Lett. 79, 4135-4138 (1997).
3. E. Recami, M. Zamboni-Rached, and H.E. Hernandez-Figueroa, Localized waves (Wiley, 2007).
4. C. Conti, S. Trillo, P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, "Nonlinear Electromagnetic X-waves," Phys. Rev. Lett. 90, 170406 (2003).
5. C. Conti, "Generation and nonlinear dynamics of X-waves of the Schrodinger equation," Phys. Rev. E 70, 046613 (2004).
6. P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, "Spontaneously Generated X-shaped Light Bullets," Phys. Rev. Lett. 91, 093904 (2003).
7. M. Kolesik, E.M. Wright, and J. V. Moloney, "Dynamic nonlinear X-waves for femtosecond pulse propagation in water," Phys. Rev. Lett. 92 253901 (2004).
8. D. Faccio, M. Porras, A. Dubietis, F. Bragheri, A. Couairon, P. Di Trapani, "Conical, emission, pulse splitting and X-wave parametric amplification in nonlinear dynamics of ultrashort light pulses," Phys. Rev. Lett. 96, 193901 (2006).
9. C. Conti, S. Trillo, "Nonspreading wave packets in three dimensions formed by an ultracold Bose gas in an optical lattice", Phys. Rev. Lett. 92, 120404 (2004).
10. S. Longhi and D. Janner, "X-shaped waves in photonic crystals," Phys. Rev. B 70, 235123 (2004).
11. Y. Lahini, E. Frumker, Y. Silberberg, S. Droulias, K. Hizanidis, and D. N. Christodoulides, "Discrete X-Wave Formation in Nonlinear Waveguide Arrays," Phys. Rev. Lett. 98, 023901 (2007).
12. S. Droulias, K. Hizanidis, J. Meier, and D. N. Christodoulides, "X-waves in nonlinear normally dispersive waveguide arrays," Opt. Exp. 13, 1827-1832 (2005).
13. Y. Kominis, N. Moshonas, P. Pagagiannis, K. Hizanidis, and D.N. Christodoulides, "Bessel X-waves in 2D and 3D bidispersive optical systems," Opt. Lett. 30, 2924 (2005).
14. H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd and J. S. Aitchison, "Discrete Spatial Optical Solitons in Waveguide Arrays," Phys. Rev. Lett. 81, 3383-3386 (1998).
15. D. N. Christodoulides, F. Lederer, Y. Silberberg, "Discretizing light behaviour in linear and nonlinear waveguide lattices", Nature 424, 817-823 (2003).
16. K. Staliunas and M. Tlidi, "Hyperbolic Transverse Patterns in Nonlinear Optical Resonators," Phys. Rev. Lett. 94, 133902 (2005).
17. C.T. Zhou, M. Y. Yu, and X. T. He, "X-wave solutions of complex GL equation," Phys. Rev. E 73, 026209 (2006).
18. C. C. Cutler, "The Regenerative Pulse Generator," Proc. IRE 43, 140-148 (1955).
19. J. Levy and M. S. Sherwin, "Poincar sections of charge-density-wave dynamics: Mode locking," Phys. Rev. Lett. 67, 2846-2849 (1991).
20. H. Wang, R. de Paola, and W. I. Norwood, "Dynamics underlying the patterning of cardiac dysrhythmias," Phys. Rev. Lett. 70, 3671-3674 (1993).
21. M. I. Visscher and B. Rejaei, "Josephson Current through Charge Density Waves," Phys. Rev. Lett. 79, 4461-4464 (1997).
22. B. Andreotti, "The Song of Dunes as a Wave-Particle Mode Locking," Phys. Rev. Lett. 93, 238001 (2004).
23. M. S. Paoletti and T. H. Solomon, "Front propagation and mode-locking in an advection-reaction-diffusion system," Phys. Rev. E 72, 046204 (2005).
24. S. M. Rezende, F. M. de Aguiar, R. L. Rodrguez-Surez, and A. Azevedo, "Mode Locking of Spin Waves Excited by Direct Currents in Microwave Nano-oscillators," Phys. Rev. Lett. 98, 087202 (2007).
25. S. T. Cundiff, J. M. Soto-Crespo and N. Akhmediev, "Experimental Evidence for Soliton Explosions," Phys. Rev. Lett. 88, 073903 (2002).
26. M. Katz, A. Gordon, O. Gat, and B. Fischer, "Non-Gibbsian Stochastic Light-Mode Dynamics of Passive Mode Locking," Phys. Rev. Lett. 97, 113902 (2006).
27. J. Javaloyes, J. Mulet, and S. Balle, "Passive Mode Locking of Lasers by Crossed-Polarization Gain Modulation," Phys. Rev. Lett. 97, 163902 (2006).
28. H.A. Haus, "Mode-locking of lasers," IEEE J. Sel. Top. Quantum Electron. 6, 1173-1185 (2000).
29. J. N. Kutz, "Mode-locked Soliton Lasers," SIAM Review 48, 629-678 (2006).
30. J. Proctor and J. N. Kutz, "Passive mode-locking by use of waveguide arrays," Opt. Lett. 13, 2013-2015 (2005).
31. J. Proctor and J. N. Kutz, "Nonlinear mode-coupling for passive mode-locking: application of waveguide arrays, dual-core fibers, and/or fiber arrays," Opt. Express 13, 8933-8950 (2005).
32. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer, 1990).
33. M. Brambilla, T. Maggipinto, G. Patera, and L. Columbo, "Cavity light bullets: 3D localized structures in non-linear optical resonator," Phys. Rev. Lett. 93, 203901 (2004).
34. A. Chong, W. H. Renninger, and F. W. Wise, "All-normal-dispersion femtosecond fiber laser with pulse energy above 20nJ," Opt. Lett. 32, 2408-2410 (2007).
35. A. N. Khilo, E. G. Katranji, A. A. Ryzhevich, "Axicon-based Bessel resonator: analytical description and experiment," J. Opt. Soc. Am. Am 18, 1986-1992 (2001).
36. J. Proctor and J. N. Kutz, "Averaged models for passive mode-locking using nonlinear mode-coupling," J. Math-ematics and Computers in Simulation 74, 333-342 (2007).