Abstract
We describe a continuous analog of the quasirectangular flat-top nonlinear modes earlier found for discrete nonlinear models. We show that these novel nonlinear modes can be understood as multi-soliton complexes with either in-phase or out-of-phase neighboring solitons trapped by the periodic potential of the lattice. We demonstrate a link between the flat-top states and the truncated nonlinear Bloch waves, and discuss how these nonlinear localized modes can be monitored experimentally in photonics and Bose–Einstein condensates.
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References
Christodoulides DN, Lederer F, Silberberg Y (2003) Nature 424:817
Kivshar YS, Agrawal GP (2003) Optical Solitons: From Fibers to Photonic Crystals. Academic, San Diego, CA, p 540
Christodoulides DN, Joseph RI (1988) Opt. Lett. 13:794
Lederer F, Damanyan S, Kobyakov A (2001) Discrete solitons, in: Trillo S, Torruellas W (eds) Spatial Solitons. Springer, Berlin, p 269
Neshev D, Sukhorukov AA, Hanna B, Krolikowski W, Kivshar YS (2004) Phys. Rev. Lett. 93:083905
Eisenberg HS, Silberberg Y, Morandotti R, Boyd AR, Aitchison JS (1998) Phys. Rev. Lett. 81:3383
Fleischer JW, Carmon T, Segev M, Efremidis NK, Christodoulides DN (2003) Phys. Rev. Lett. 90:023902
Neshev D, Ostrovskaya EA, Kivshar YS, Krolikowski W (2003) Opt. Lett. 28:710
Fratalocchi A, Assanto G, Brzdakiewicz KA, Karpierz MA (2005) Opt. Lett. 30:174
Darmanyan S, Kobyakov A, Lederer F, Vázquez L (1999) Phys. Rev. B 59:5994
Kartashov YV, Vysloukh VA, Torner L (2004) Opt. Express 12:2831
Louis PJY, Ostrovskaya EA, Savage CM, Kivshar YS (2003) Phys. Rev. A 67:013602
Anker T, Albiez M, Gati R, Hunsmann S, Eiermann B, Trombettoni A, Oberthaler MK (2005) Phys. Rev. Lett. 94:020403
Pelinovsky DE, Sukhorukov AA, Kivshar YS (2004) Phys. Rev. E 70:036618
Chen Z, Acks M, Ostrovskaya EA, Kivshar YS (2000) Opt. Lett. 25:417
Kivshar YS, Peyrard M (1992) Phys. Rev. A 46:3198
Konotop VV, Salerno M (2002) Phys. Rev. A 65:021602(R)
Louis PJ, Ostrovskaya EA, Savage C, Kivshar YS (2003) Phys. Rev. A 67:013602
Zobay O, Pötting S, Meystre P, Wright EM (1999) Phys. Rev. A 59:643
Ahufinger V, Sanpera A, Pedri P, Santos L, Lewenstein M (2004) Phys. Rev. A 69:053604
Trombettoni A, Smerzi A (2001) Phys. Rev. Lett. 86:2353
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PACS
42.65.Tg; 42.65.Jx; 03.75.Lm
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Alexander, T., Kivshar, Y. Soliton complexes and flat-top nonlinear modes in optical lattices. Appl. Phys. B 82, 203–206 (2006). https://doi.org/10.1007/s00340-005-2071-3
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DOI: https://doi.org/10.1007/s00340-005-2071-3