Bistability and stationary gap solitons in quasiperiodic photonic crystals based on Thue-Morse sequence

Photonics and Nanostructures - Fundamentals and Applications

Volumn 8, Issue 4, 2010, Pages 285-290

  Grigoriev, V V ^a   Biancalana, F ^a  

^a MAX PLANCK INSTITUTE FOR THE SCIENCE OF LIGHT   (Germany)

Author keywords

Bistability; Gap solitons; Multilayers; Quasicrystals

Indexed keywords

ALL-OPTICAL; BI-STABILITY; GAP SOLITON; GENERATION NUMBERS; NONLINEAR PROPERTIES; NONRECIPROCAL PROPAGATION; ONE-DIMENSIONAL STRUCTURE; PROPAGATION DIRECTION; PUMP SIGNAL; QUASI-PERIODIC PHOTONIC CRYSTALS; THUE-MORSE SEQUENCE;

MULTILAYERS; QUASICRYSTALS; SOLITONS;

PHOTONIC CRYSTALS;

EID: 77956175779     PISSN: 15694410     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.photonics.2010.05.002     Document Type: Conference Paper

References (24)

1. E.L. Albuquerque, and M.G. Cottam Polaritons in Periodic and Quasiperiodic Structures 2004 Elsevier Amsterdam
2. S. Zhu, Y.Y. Zhu, and N.B. Ming Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice Science 278 5339 1997 843 846
3. N.H. Liu Propagation of light waves in Thue-Morse dielectric multilayers Physical Review B 55 6 1997 3543 3547
4. X.G. Wang, U. Grimm, and M. Schreiber Trace and antitrace maps for aperiodic sequences: extensions and applications Physical Review B 62 21 2000 14020 14031
5. J.M. Luck Cantor spectra and scaling of gap widths in deterministic aperiodic systems Physical Review B 39 9 1989 5834 5859
6. C.S. Ryu, G.Y. Oh, and M.H. Lee Extended and critical wave functions in a Thue-Morse chain Physical Review B 46 9 1992 5162 5168
7. L. Dal Negro, M. Stolfi, Y. Yi, J. Michel, X. Duan, L.C. Kimerling, J. LeBlanc, and J. Haavisto Photon band gap properties and omnidirectional reflectance in Si/SiO 2 Thue-Morse quasicrystals Applied Physics Letters 84 25 2004 5186 5188
8. V. Grigoriev, F. Biancalana, Bistability, multistability and nonreciprocal light propagation in Thue-Morse multilayered structures, arXiv (2009) 0912.3203v1.
9. F. Biancalana All-optical diode action with quasiperiodic photonic crystals Journal of Applied Physics 104 9 2008 093113
10. T. Amemiya, H. Shimizu, M. Yokoyama, P.N. Hai, M. Tanaka, and Y. Nakano 1.54-mm TM-mode waveguide optical isolator based on the nonreciprocal-loss phenomenon: device design to reduce insertion loss Applied Optics 46 23 2007 5784 5791
11. J. Hwang, M.H. Song, B. Park, S. Nishimura, T. Toyooka, J.W. Wu, Y. Takanishi, K. Ishikawa, and H. Takezoe Electro-tunable optical diode based on photonic bandgap liquid-crystal heterojunctions Nature Materials 4 5 2005 383 387
12. E. Lidorikis, K. Busch, Q.M. Li, C.T. Chan, and C.M. Soukoulis Wave propagation in linear and nonlinear structures Physica D 113 2-4 1998 346 365
13. M. Soljacic, M. Ibanescu, S.G. Johnson, Y. Fink, and J.D. Joannopoulos Optimal bistable switching in nonlinear photonic crystals Physical Review E 66 5 2002 055601
14. X.S. Lin, and S. Lan Unidirectional transmission in asymmetrically confined photonic crystal defects with kerr nonlinearity Chinese Physics Letters 22 11 2005 2847 2850
15. M.D. Tocci, M.J. Bloemer, M. Scalora, J.P. Dowling, and C.M. Bowden Thin-film nonlinear optical diode Applied Physics Letters 66 18 1995 2324 2326
16. K. Gallo, G. Assanto, K.R. Parameswaran, and M.M. Fejer All-optical diode in a periodically poled lithium niobate waveguide Applied Physics Letters 79 3 2001 314 316
17. S.O. Konorov, D.A. Sidorov-Biryukov, I. Bugar, M.J. Bloemer, V.I. Beloglazov, N.B. Skibina, D. Chorvat, M. Scalora, and A.M. Zheltikov Experimental demonstration of a photonic-crystalfiber optical diode Applied Physics B 78 5 2004 547 550
18. R. Philip, M. Anija, C.S. Yelleswarapu, and D. Rao Passive all-optical diode using asymmetric nonlinear absorption Applied Physics Letters 91 14 2007 141118
19. X.S. Lin, J.H. Yan, L.J. Wu, and S. Lan High transmission contrast for single resonator based all-optical diodes with pumpassisting Optics Express 16 25 2008 20949 20954
20. J.E. Sipe, and H.G. Winful Nonlinear Schrodinger solitons in a periodic structure Optics Letters 13 2 1988 132 133 times cited: 108
21. C.M. de Sterke, B.J. Eggleton, and J.E. Sipe Bragg solitons: theory and experiments S. Trillo, W. Torruellas, Spatial Solitons 2001 Springer Berlin
22. E. Lidorikis, and C.M. Soukoulis Pulse-driven switching in onedimensional nonlinear photonic band gap materials: a numerical study Physical Review E 61 5 2000 5825 5829
23. H. Sakaguchi, and B.A. Malomed Gap solitons in quasiperiodic optical lattices Physical Review E 74 2 2006 026601
24. C.B. Clausen, Y.S. Kivshar, O. Bang, and P.L. Christiansen Quasiperiodic envelope solitons Physical Review Letters 83 23 1999 4740 4743