Light bullets in waveguide arrays: Spacetimecoupling,spectral symmetry breaking and superluminal decay [invited]

Optics Express

Volumn 19, Issue 23, 2011, Pages 23171-23187

  Eilenberger, Falk ^a   Minardi, Stefano ^a   Szamet, Alexander ^a   Röpke, Ulrich ^b   Kobelke, Jens ^b   Schuster, Kay ^b   Bartelt, Hartmut ^b   Nolte, Stefan ^a   Tünnermann, Andreas ^a   Pertsch, Thomas ^a  

^a FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

^b LEIBNIZ INSTITUTE OF PHOTONIC TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

REFRACTIVE INDEX; SOLITONS; SPACE TIME ADAPTIVE PROCESSING; WAVEGUIDES;

ARRAY GEOMETRIES; GROUP VELOCITIES; LIGHT BULLET; NON-LINEARITY; PERIODIC MEDIA; SPACE-TIME COUPLING; SPATIOTEMPORAL SOLITONS; SUPERLUMINAL; SUPERLUMINAL PROPAGATION; SYMMETRY-BREAKING; TRANSVERSE MODULATION; WAVEGUIDE ARRAY; WAVELENGTH DEPENDENCE;

PROJECTILES;

EID: 80755143924     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.19.023171     Document Type: Article

References (64)

1. A. Dogariu, A. Kuzmich, and L. J. Wang, "Transparent anomalous dispersion and superluminal light-pulse propagation at a negative group velocity," Phys. Rev. A 63(5), 053806 (2001).
2. A. Dogariu, A. Kuzmich, H. Cao, and L. Wang, "Superluminal light pulse propagation via rephasing in a transparent anomalously dispersive medium," Opt. Express 8(6), 344-350 (2001).
3. A. M. Steinberg, P. G. Kwiat, and R. Y. Chiao, "Measurement of the single-photon tunneling time," Phys. Rev. Lett. 71(5), 708-711 (1993).
4. A. Kuzmich, A. Dogariu, L. J. Wang, P. W. Milonni, and R. Y. Chiao, "Signal velocity, causality, and quantum noise in superluminal light pulse propagation," Phys. Rev. Lett. 86(18), 3925-3929 (2001).
5. M. D. Stenner, D. J. Gauthier, and M. A. Neifeld, "The speed of information in a 'fast-light' optical medium," Nature 425(6959), 695-698 (2003).
6. G. Nimtz, "Evanescent modes are not necessarily Einstein causal," Eur. Phys. J. B 7(4), 523-525 (1999), doi:10.1007/s100510050643.
7. M. Nakazawa, T. Yamamoto, and K. Tamura, "1.28 tbit/s-70 km OTDM transmission using third- and fourthorder simultaneous dispersion compensation with a phase modulator," Electron. Lett. 36(24), 2027-2029 (2000).
8. H. C. H. Mulvad, M. Galili, L. K. Oxenløwe, H. Hu, A. T. Clausen, J. B. Jensen, C. Peucheret, and P. Jeppesen, "Demonstration of 5.1 Tbit/s data capacity on a single-wavelength channel," Opt. Express 18(2), 1438-1443 (2010).
9. T. D. Vo, H. Hu, M. Galili, E. Palushani, J. Xu, L. K. Oxenløwe, S. J. Madden, D.-Y. Choi, D. A. P. Bulla, M. D. Pelusi, J. Schröder, B. Luther-Davies, and B. J. Eggleton, "Photonic chip based transmitter optimization and receiver demultiplexing of a 1.28 Tbit/s OTDM signal," Opt. Express 18(16), 17252-17261 (2010).
10. A. Stepanov, J. Kuhl, I. Kozma, E. Riedle, G. Almási, and J. Hebling, "Scaling up the energy of THz pulses created by optical rectification," Opt. Express 13(15), 5762-5768 (2005).
11. R. Danielius, A. Piskarskas, P. Di Trapani, A. Andreoni, C. Solcia, and P. Foggi, "Matching of group velocities by spatial walk-off in collinear three-wave interaction with tilted pulses," Opt. Lett. 21(13), 973-975 (1996).
12. D. Faccio, A. Averchi, A. Dubietis, P. Polesana, A. Piskarskas, P. D. Trapani, and A. Couairon, "Stimulated Raman X waves in ultrashort optical pulse filamentation," Opt. Lett. 32(2), 184-186 (2007).
13. O. Martinez, "Achromatic phase matching for second harmonic generation of femtosecond pulses," IEEE J. Quantum Electron. 25(12), 2464-2468 (1989).
14. P. Saari and K. Reivelt, "Evidence of x-shaped propagation-invariant localized light waves," Phys. Rev. Lett. 79(21), 4135-4138 (1997).
15. A. V. Gorbach and D. V. Skryabin, "Cascaded generation of multiply charged optical vortices and spatiotemporal helical beams in a Raman medium," Phys. Rev. Lett. 98(24), 243601 (2007).
16. 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(9), 093904 (2003).
17. D. Faccio, M. A. Porras, A. Dubietis, F. Bragheri, A. Couairon, and P. Di Trapani, "Conical emission, pulse splitting, and X-wave parametric amplification in nonlinear dynamics of ultrashort light pulses," Phys. Rev. Lett. 96(19), 193901 (2006).
18. S. Minardi, A. Gopal, A. Couairon, G. Tamoašuskas, R. Piskarskas, A. Dubietis, and P. Di Trapani, "Accurate retrieval of pulse-splitting dynamics of a femtosecond filament in water by time-resolved shadowgraphy," Opt. Lett. 34(19), 3020-3022 (2009).
19. I. Blonskyi, V. Kadan, O. Shpotyuk, and I. Dmitruk, "Manifestations of sub- and superluminality in filamented femtosecond laser pulse in fused silica," Opt. Commun. 282(9), 1913-1917 (2009).
20. C. J. Benton and D. V. Skryabin, "Coupling induced anomalous group velocity dispersion in nonlinear arrays of silicon photonic wires," Opt. Express 17(7), 5879-5884 (2009).
21. C. J. Benton, A. V. Gorbach, and D. V. Skryabin, "Spatiotemporal quasisolitons and resonant radiation in arrays of silicon-on-insulator photonic wires," Phys. Rev. A 78(3), 033818 (2008).
22. A. V. Gorbach, W. Ding, O. K. Staines, C. E. de Nobriga, G. D. Hobbs, W. J. Wadsworth, J. C. Knight, D. V. Skryabin, A. Samarelli, M. Sorel, and R. M. De La Rue, "Spatiotemporal nonlinear optics in arrays of subwavelength waveguides," Phys. Rev. A 82(4), 041802 (2010).
23. Y. Silberberg, "Collapse of optical pulses," Opt. Lett. 15(22), 1282-1284 (1990).
24. S. Minardi, F. Eilenberger, Y. V. Kartashov, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, "Three-dimensional light bullets in arrays of waveguides," Phys. Rev. Lett. 105(26), 263901 (2010).
25. Y. V. Kartashov, B. A. Malomed, and L. Torner, "Solitons in nonlinear lattices," Rev. Mod. Phys. 83(1), 247- 306 (2011).
26. Y. S. Kivshar and S. K. Turitsyn, "Spatiotemporal pulse collapse on periodic potentials," Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 49(4), R2536-R2539 (1994).
27. A. B. Aceves and C. De Angelis, "Spatiotemporal pulse dynamics in a periodic nonlinear waveguide," Opt. Lett. 18(2), 110-112 (1993).
28. D. N. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behaviour in linear and nonlinear waveguide lattices," Nature 424(6950), 817-823 (2003).
29. S. K. Turitsyn, "Collapse criterion for a pulse dynamics in a periodic nonlinear waveguide," Opt. Lett. 18(18), 1493-1495 (1993).
30. F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, "Discrete solitons in optics," Phys. Rep. 463(1-3), 1-126 (2008).
31. Y. Kivshar and G. Agrawal, Optical Solitons (Academic Press, 2003).
32. B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, "Spatiotemporal optical solitons," J. Opt. B: Quantum Semiclassical Opt. 7(5), R53-R72 (2005).
33. J. E. Rothenberg, "Pulse splitting during self-focusing in normally dispersive media," Opt. Lett. 17(8), 583-585 (1992).
34. A. Szameit, M. C. Rechtsman, O. Bahat-Treidel, and M. Segev, "Pt-symmetry in honeycomb photonic lattices," Phys. Rev. A 84(2), 021806 (2011).
35. F. Bragheri, D. Faccio, F. Bonaretti, A. Lotti, M. Clerici, O. Jedrkiewicz, C. Liberale, S. Henin, L. Tartara, V. Degiorgio, and P. Di Trapani, "Complete retrieval of the field of ultrashort optical pulses using the anglefrequency spectrum," Opt. Lett. 33(24), 2952-2954 (2008).
36. A. Zozulya and S. Diddams, "Dynamics of self-focused femtosecond laser pulses in the near and far fields," Opt. Express 4(9), 336-343 (1999).
37. M. A. Porras, I. Gonzalo, and A. Mondello, "Pulsed light beams in vacuum with superluminal and negative group velocities," Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 67(6), 066604 (2003).
38. S. Malaguti, G. Bellanca, and S. Trillo, "Two-dimensional envelope localized waves in the anomalous dispersion regime," Opt. Lett. 33(10), 1117-1119 (2008).
39. A. Szameit, T. Pertsch, F. Dreisow, S. Nolte, A. Tünnermann, U. Peschel, and F. Lederer, "Light evolution in arbitrary two-dimensional waveguide arrays," Phys. Rev. A 75(5), 053814 (2007).
40. A. Szameit, D. Blömer, J. Burghoff, T. Pertsch, S. Nolte, and A. Tünnermann, "Hexagonal waveguide arrays written with fs-laser pulses," Appl. Phys. B 82(4), 507-512 (2006).
41. F. Eilenberger, S. Minardi, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, "Evolution dynamics of discrete-continuous light bullets," Phys. Rev. A 84(1), 013836 (2011).
42. F. Eilenberger, A. Szameit, and T. Pertsch, "Transition from discrete to continuous townes solitons in periodic media," Phys. Rev. A 82(4), 043802 (2010).
43. G. Agrawal, Nonlinear Fiber Optics (Academic Press, 2001).
44. N. Vakhitov and A. Kolokolov, "Stationary solutions of the wave equation in a medium with nonlinearity saturation," Radiophys. Quantum Electron. 16(7), 783-789 (1973).
45. N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced photonic lattices," Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 66(4), 046602 (2002).
46. J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices," Nature 422(6928), 147-150 (2003).
47. J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of discrete solitons in optically induced real time waveguide arrays," Phys. Rev. Lett. 90(2), 023902 (2003).
48. U. Röpke, H. Bartelt, S. Unger, K. Schuster, and J. Kobelke, "Fiber waveguide arrays as model system for discrete optics," Appl. Phys. B 104(3), 481-486 (2011), doi:10.1007/s00340-011-4635-8.
49. U. Röpke, H. Bartelt, S. Unger, K. Schuster, and J. Kobelke, "Two-dimensional high-precision fiber waveguide arrays for coherent light propagation," Opt. Express 15(11), 6894-6899 (2007).
50. J. C. Knight, "Photonic crystal fibres," Nature 424(6950), 847-851 (2003).
51. P. Russell, "Photonic crystal fibers," Science 299(5605), 358-362 (2003).
52. T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tünnermann, and F. Lederer, "Nonlinearity and disorder in fiber arrays," Phys. Rev. Lett. 93(5), 053901 (2004).
53. T. Schwartz, G. Bartal, S. Fishman, and M. Segev, "Transport and Anderson localization in disordered twodimensional photonic lattices," Nature 446(7131), 52-55 (2007).
54. M. Kolesik and J. V. Moloney, "Nonlinear optical pulse propagation simulation: from Maxwell's to unidirectional equations," Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 70(3), 036604 (2004).
55. I. Babushkin, A. Husakou, J. Herrmann, and Y. S. Kivshar, "Frequency-selective self-trapping and supercontinuum generation in arrays of coupled nonlinear waveguides," Opt. Express 15(19), 11978-11983 (2007).
56. P. Kinsler, "Unidirectional optical pulse propagation equation for materials with both electric and magnetic responses," Phys. Rev. A 81(2), 023808 (2010).
57. R. R. Alfano and S. L. Shapiro, "Emission in the region 4000 to 7000 å via four-photon coupling in glass," Phys. Rev. Lett. 24(11), 584-587 (1970).
58. J. K. Ranka, R. S. Windeler, and A. J. Stentz, "Visible continuum generation in air-silica microstructure optical fibers with anomalous dispersion at 800 nm," Opt. Lett. 25(1), 25-27 (2000).
59. J. M. Dudley, G. Genty, and S. Coen, "Supercontinuum generation in photonic crystal fiber," Rev. Mod. Phys. 78(4), 1135-1184 (2006).
60. C. Conti, S. Trillo, P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, and J. Trull, "Nonlinear electromagnetic X waves," Phys. Rev. Lett. 90(17), 170406 (2003).
61. M. Kolesik, E. M. Wright, and J. V. Moloney, "Dynamic nonlinear X waves for femtosecond pulse propagation in water," Phys. Rev. Lett. 92(25), 253901 (2004).
62. M. Heinrich, A. Szameit, F. Dreisow, R. Keil, S. Minardi, T. Pertsch, S. Nolte, A. Tünnermann, and F. Lederer, "Observation of three-dimensional discrete-continuous x waves in photonic lattices," Phys. Rev. Lett. 103(11), 113903 (2009).
63. M. A. C. Potenza, S. Minardi, J. Trull, G. Blasi, D. Salerno, A. Varanavicius, A. Piskarskas, and P. D. Trapani, "Three dimensional imaging of short pulses," Opt. Commun. 229(1-6), 381-390 (2004).
64. S. Minardi, J. Trull, and M. A. C. Potenza, "Holographic properties of parametric image conversion for spatiotemporal imaging of ultrashort laser pulses," J. Hologr. Speckle 5(1), 85-93 (2009).