The transmission of quasi-discrete solitons in resonant waveguide arrays activated by the electromagnetically induced transparency

Journal of Nonlinear Optical Physics and Materials

Volumn 20, Issue 2, 2011, Pages 193-203

  Wu, Jianxiong ^a   Feng, Mingneng ^b   Pang, Wei ^c   Fu, Shenhe ^a   Li, Yongyao ^a  

^a SOUTH CHINA AGRICULTURAL UNIVERSITY   (China)

^b SUN YAT SEN UNIVERSITY   (China)

^c GUANGDONG UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Electromagnetically induced transparency; quasi discrete solitons; resonant waveguide arrays; self focusing and self defocusing

Indexed keywords

QUANTUM OPTICS; SOLITONS; TRANSPARENCY;

DISCRETE DIFFRACTION; DISCRETE SOLITON; ELECTROMAGNETICALLY-INDUCED TRANSPARENCY; OBLIQUE INCIDENCE; SELF-DEFOCUSING; SPATIAL SOLITONS; TRANSVERSE WAVES; WAVEGUIDE ARRAY;

OPTICAL WAVEGUIDES;

EID: 80051743272     PISSN: 02188635     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218863511006029     Document Type: Article

References (56)

1. F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev and Y. Silberberg, Discrete solitons in optics, Phys. Rep. 463 (2008) 1.
2. R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel and J. S. Aitchison, Selffocusing and defocusing in waveguide arrays, Phys. Rev. Lett. 86 (2001) 3296.
3. J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti and J. S. Aitchison, Discrete vector solitons in Kerr nonlinear waveguide arrays, Phys. Rev. Lett. 91 (2003) 143907.
4. J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotti, H. Yang, G. Salamo, M. Sorel and J. S. Aitchison, Experimental observation of discrete modulational instability, Phys. Rev. Lett. 92 (2004) 163902.
5. D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti and J. S. Aitchison, Bandgap structure of waveguide arrays and excitation of Floquet-Bloch solitons, Phys. Rev. Lett. 90 (2003) 053902.
6. D. Mandelik, R. Morandotti, J. S. Aitchison and Y. Silberberg, Gap solitons in waveguide arrays, Phys. Rev. Lett. 92 (2004) 093904.
7. D. N. Christodoulides and R. I. Joseph, Slow Bragg solitons in nonlinear periodic structures, Phys. Rev. Lett. 62 (1989) 1746.
8. A. B. Aceves and S. Wabnitz, Self-induced transparency solitons in nonlinear refractive periodic media, Phys. Lett. 141 (1989) 37.
9. B. J. Eggleton, R. E. Slusher, C. M. DeSterke, P. A. Krug and J. E. Sipe, Bragg grating solitons, Phys. Rev. Lett. 76 (1996) 1627.
10. 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 (2003) 147.
11. 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 (2003) 023902.
12. 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. 66 (2002) 046602.
13. B. A. Malomed and P. G. Kevrekidis, Discrete vortex solitons, Phys. Rev. E 64 (2001) 026601.
14. J. K. Yang and Z. Musslimani, Fundamental and vortex solitons in a two-dimensional optical lattice, Opt. Lett. 28 (2003) 2094.
15. Z. H. Musslimani and J. A. Yang, Self-trapping of light in a two-dimensional photonic lattice, J. Opt. Soc. Am. B 21 (2004) 973.
16. B. Freedman, G. Bartal, M. Segev, R. Lifshitz, D. N. Christodoulides and J. W. Fleischer, Wave and defect dynamics in nonlinear photonic quasicrystals, Nature 440 (2006) 1166.
17. L. Guidoni, C. Triche, P. Verkerk and G. Grynberg, Quasiperiodic optical lattices, Phys. Rev. Lett. 79 (1997) 3363-3366.
18. R. Lifshitz and D. M. Petrich, Theoretical model for Faraday waves with multiplefrequency forcing, Phys. Rev. Lett. 79 (1997) 1261-1264.
19. X. Zeng, G. Ungar, Y. Liu, V. Percec, A. E. Dulcey and J. K. Hobbs, Supramolecular dendritic liquid quasicrystals, Nature 428 (2004) 157-160.
20. Y. Y. Li, B. A. Malomed, M. N. Feng and J. Y. Zhou, Arrayed and checkerboard optical waveguides controlled by the electromagnetically induced transparency, Phys. Rev. A 82 (2010) 063813.
21. C. Hang, V. V. Konotop and G. X. Huang, Spatial solitons and instabilities of light beams in a three-level atomic medium with a standing-wave control field, Phys. Rev. A 79 (2009) 033826.
22. C. Hang and V. V. Konotop, All-optical steering of light via spatial Bloch oscillations in a gas of three-level atoms, Phys. Rev. A 81 (2010) 053849.
23. A. E. Kozhekin, G. Kurizki and B. Malomed, Standing and moving gap solitons in resonantly absorbing gratings, Phys. Rev. Lett. 81 (1998) 3647.
24. A. Kozhekin and G. Kurizki, Self-induced transparency in Bragg reflectors: Gap solitons near absorption resonances, Phys. Rev. Lett. 74 (1995) 5020-5023.
25. M. Blaauboer, G. Kurizki and B. A. Malomed, Spatiotemporally localized solitons in resonantly absorbing Bragg reflectors, Phys. Rev. E 62 (2000) R57-R59.
26. G. Kurizki, A. E. Kozhekin, T. Opatrny and B. A. Malomed, Optical solitons in periodic media with resonant and off-resonant nonlinearities, Prog. Opt. 42 (2001) 93.
27. P. Prineas, J. Zhou, J. Kuhl, H. M. Gibbs, G. Khitrova, S. W. Koch and A. Knorr, Ultrafast ac Stark effect switching of the active photonic band gap from Bragg-periodic semiconductor quantum wells, Appl. Phys. Lett. 81 (2002) 4332.
28. J. Zhu, J. Y. Zhou and J. Cheng, Moving and stationary spatial-temporal solitons in a resonantly absorbing Bragg reflector, Opt. Express 13 (2005) 7133-7138.
29. J. Zhou, H. Shao, J. Zhao and K. S. Wong, Storage and release of femtosecond laser pulses in a resonant photonic crystal, Opt. Lett. 30 (2005) 1560.
30. J. Li and J. Zhou, Nonlinear optical frequency conversion with stopped short light pulses, Opt. Express 14 (2006) 2811.
31. B. S. Ham, P. R. Hemmer and M. S. Shahriar, Efficient electromagnetically induced transparency in a rare-earth doped crystal, Opt. Commun. 144 (1997) 227.
32. E. Kuznetsova, O. Kocharovskaya, P. Hemmer and M. O. Scully, Atomic interference phenomena in solids with a long-lived spin coherence, Phys. Rev. A 66 (2002) 063802.
33. P. G. Kevrekidis, The Discrete Nonlinear Schrodinger Equation: Mathematical Analysis, Numerical Computations, and Physical Perspectives (Springer, Berlin and Herdelberg, 2009).
34. C. Kittel, Introduction to Solid State Physics (Wiley, New York, 1995).
35. T. Mayteevarunyoo and B. A.Malomed, Solitons in one-dimensional photonic crystals, J. Opt. Soc. Am. B 25 (2008) 1854.
36. I. M. Merhasin, B. V. Gisin, R. Driben and B. A. Malomed, Finite-band solitons in the Kronig-Penney model with the cubic-quintic nonlinearity, Phys. Rev. E. 71 (2005) 016613.
37. Y. Kominis, Analytical solitary wave solutions of the nonlinear Kronig-Penney model in photonic structures, Phys. Rev. E 73 (2006) 066619.
38. Y. Kominis and K. Hizanidis, Lattice solitons in self-defocusing optical media: Analytical solutions of the nonlinear Kronig-Penney model, Opt. Lett. 31 (2006) 2888.
39. Y. Kominis and K. Hizanidis, Power dependent soliton location and stability in complex photonic structures, Opt. Express 16 (2008) 12124.
40. T. Mayteevarunyoo and B. A. Malomed, Gap solitons in grating superstructures, Opt. Express 16 (2008) 7767.
41. Y. Li, H. Zhang, W. Pang and Y. Chen, Coherent control of a light field with electromagnetically induced transparency in a dark state Raman coherent tripod system, Phys. Lett. A 373 (2009) 596.
42. L. V. Hau, S. E. Harris, Z. Dutton and C. H. Behroozi, Light speed reduction to 17 metres per second in an ultracold atomic gas, Nature (London) 397 (1999) 594.
43. M. Fleischhauer and M. D. Lukin, Dark-state polaritons in electromagnetically induced transparency, Phys. Rev. Lett. 84 (2000) 5094.
44. M. T. Johnsson and M. Fleischhauer, Quantum theory of resonantly enhanced fourwave mixing: Mean-field and exact numerical solutions, Phys. Rev. A 66 (2002) 043808.
45. Y. Li, W. Pang and J. Zhou, Ultra-slow and ultra-weak discrete solitons in optical lattice via Electromagnetically induced transparency, Nonlinear Photonics, OSA Technical Digest (CD) (Optical Society of America, 2010), paper NTuC57.
46. T. Hong, Spatial weak-light solitons in an electromagnetically induced nonlinear waveguide, Phys. Rev. Lett. 90 (2003) 183901.
47. Y. Li, B. A. Malomed, M. Feng and J. Zhou, Double symmetry breaking in onedimensional virtual crystals, Phys. Rev. A. 83 (2011) 053832.
48. O. Peleg, G. Bartal, B. Freedman, O. Manela, M. Segev and D. N. Christodoulides, Conical diffraction and gap solitons in honeycomb photonic lattices, Phys. Rev. Lett. 98 (2007) 103901.
49. O. B. Treidel, O. Peleg and M. Segev, Symmetry breaking in honeycomb photonic lattices, Opt. Lett. 33 (2009) 2251.
50. Y. Li, W. Pang, Y. Chen, Z. Yu, J. Zhou and H. Zhang, Defect-mediated discrete solitons in optically induced photorefractive lattices, Phys. Rev. A 80 (2009) 043824.
51. F. Fedele, J. K. Yang and Z. G. Chen, Defect modes in one-dimensional photonic lattices, Opt. Lett. 30 (2005) 1506.
52. L. Dong and F. Ye, Shaping solitons by lattice defects, Phys. Rev. A 82 (2010) 053829.
53. X. S. Wang, Z. G. Chen and P. G. Kevrekidis, Observation of discrete solitons and soliton rotation in optically induced periodic ring lattices, Phys. Rev. Lett. 96 (2006) 083904.
54. J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock and D. N. Christodoulides, Spatial photonics in nonlinear waveguide arrays, Phys. Rev. Lett. 92 (2004) 123904.
55. A. Argyros, I. M. Bassett, M. A. van Eijkelenborg, M. C. J. Large, J. Zagari, N. A. P. Nicorovici, R. C. McPhedran and C. M. de Sterke, Ring structures in microstructured polymer optical fibres, Opt. Express 9 (2001) 813.
56. X. Zhu, H.Wang and L. Zheng, Defect solitons in kagome optical lattices, Opt. Express 18 (2010) 20786.