Abstract
The concept of solitons is making inroads into industrial applications. In optical telecommunications, we see the beginning of the commercial utilization of temporal solitons – short pulses of light traveling down an optical fiber which are stabilized by nonlinearity. This technology is very successful, and yet the data-carrying capacity of optical fiber, even though it is enormous, is on the verge of reaching a fundamental limit. Concepts beyond individual soliton pulses might be helpful in pushing beyond, or working around, that limit. Several ways of creating soliton compounds will be discussed, among them soliton molecules which have already been experimentally demonstrated and recently discovered chains of dark solitons.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
A. Hasegawa and F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
L.F. Mollenauer, R.H. Stolen, and J.P. Gordon, Phys. Rev. Lett. 45, 1095 (1980).
G.P. Agrawal, Nonlinear Fiber Optics, (Academic Press, San Diego, 1995).
A. Hasegawa and Y. Kodama, Solitons in Optical Communications, (Oxford University Press, Oxford, 1995).
A. Hasegawa and M. Matsumoto, Optical Solitons in Fibers, (Springer, Berlin, 2003).
L.F. Mollenauer and J.P. Gordon, Solitons in Optical Fibers: Fundamentals and Applications, (Elsevier Academic Press, Burlington, MA, 2006).
C.E. Shannon, The Bell Syst. Tech. J. 27, 379 and 623 (1948).
J.M. Kahn and K.-P. Ho, Nature (London) 411, 1007 (2001).
P.P. Mitra and J.B. Stark, Nature (London) 411, 1027 (2001).
K.-P. Ho and J.M. Kahn, Channel capacity of WDM systems using constant-intensity Modulation Formats. In: Proc. of Optical Fiber Commun. Conf. 2002 paper ThGG85 (Optical Society of America, Washington, DC, 2002).
J. Tang, J. Lightwave Technol. 24, 2070 (2006).
C. Xu, X. Liu, and X. Wei, IEEE J. Sel. Topics Quant. El. 18, 281 (2004).
N.N. Akhmediev, G. Town, and S. Wabnitz, Opt. Commun. 104, 385 (1994).
N.N. Akhmediev and A. Ankiewicz, Chaos 10, 600 (2000).
V.E. Zakharov and A.B. Shabat, Sov. Phys. JETP 34, 62 (1971).
P. Emplit, J.P. Hamaide, F. Reynaud, C. Froehly, and A. Barthelemy, Opt. Comm. 62, 374 (1987).
D. Krökel, N.J. Halas, G. Giuliani, and D. Grischkowsky, Phys. Rev. Lett. 60, 29 (1988).
A.M. Weiner, J.P. Heritage, R.J. Hawkins, R.N. Thurston, E.M. Kirschner, D.E. Leaird, and W.J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
M. Haelterman and P. Emplit, Electron. Lett. 29, 356 (1993).
C.R. Menyuk, J. Opt. Soc. Am. B 10, 1585 (1993).
Akhmediev, N., Ankiewicz, A. (eds.): Dissipative Solitons, Springer Lect. Notes Phys. 661. Springer, Berlin, Heidelberg (2005)
A. Mees Chaos in feedback systems, In: Chaos, edited by A.V. Holden (Princeton University Press, Princeton, 1986).
A. Schwache and F. Mitschke, Phys. Rev. E 55, 7720 (1997).
G. Steinmeyer, D. Jaspert, and F. Mitschke, Opt. Comm. 104, 379 (1993).
G. Steinmeyer, A. Buchholz, M. Hänsel, M. Heuer, A. Schwache, and F. Mitschke, Phys. Rev. A 52, 830 (1995).
F. Mitschke, G. Steinmeyer, and A. Schwache, Physica D 96, 251 (1996).
G. Steinmeyer, A. Schwache, and F. Mitschke, Phys. Rev. E 53, 5399 (1996).
F. Mitschke, I. Halama, and A. Schwache, Chaos, Solitons, Fract. 10, 913 (1999).
F. Mitschke and A. Schwache, Quantum Semicl. Opt. 10, 779 (1998).
B. Malomed, A. Schwache, and F. Mitschke, Fiber Integrated Opt. 17, 267 (1998).
S. Rutz and F. Mitschke, J. Optics B: Quant. Semiclass. Opt. 2, 364 (2000).
S. Rutz, T. Körösi, and F. Mitschke, Appl. Phys. B 72, 101 (2001).
G. Steinmeyer and F. Mitschke, Appl. Phys. B 62, 367 (1996).
J.H.B. Nijhof, N.J. Doran, W. Forysiak, and F.M. Knox, Electron. Lett. 33, 1726 (1997).
Y. Chen and H.A. Haus, Opt. Lett. 23, 1013 (1998).
S.K. Turytsin and E.G. Shapiro, Opt. Lett. 23, 682 (1998).
J.N. Kutz and S.G. Evangelides, Opt. Lett. 23, 685 (1998).
V.S. Grigoryan and C.R. Menyuk, Opt. Lett. 23, 609 (1998).
M. Stratmann, M. Böhm, and F. Mitschke, Electron. Lett. 37, 1182–1183 (2001).
M. Stratmann, T. Pagel, and F. Mitschke, Phys. Rev. Lett. 95, 143902 (2005).
C. Paré and P.-A. Bélanger, Opt. Commun. 168, 103 (1999).
A. Maruta, T. Inoue, Y. Nonaka, and Y. Yoshika, IEEE J. Selec. Top. Quant. Electron. 8, 640 (2002).
J.P. Gordon and L.F. Mollenauer: personal communication; see also I. Galitov, R. Indik, L. Mollenauer, M. Stepanov, P.M.Lusknikov, Opt. Lett. 32, 605 (2007).
M. Stratmann and F. Mitschke, Phys. Rev. E 72, 066616 (2005).
K.J. Blow and N.J. Doran, Physics Lett. 107A, 55 (1985).
D. Foursa and P. Emplit, Phys. Rev. Lett. 77, 4011 (1996).
D.Y. Tang, W.S. Man, H.Y. Tam, and P.D. Drummond, Phys. Rev. A 64, 033814 (2001).
D.Y. Tang, B. Zhao, D.Y. Chen, C. Lu, W.S. Man, and H.Y. Tam, Phys. Rev. A 68, 0013816 (2003).
Ph. Grelu, F. Belhache, F. Gutty, and J.-M. Soto-Crespo, Opt. Lett. 27, 966 (2002).
N.H. Seong and D.Y. Kim, Opt. Lett. 27, 1321 (2002).
N.N. Akhmediev, A. Ankiewicz, and J.M. Soto-Crespo, J. Opt. Soc. Am. B 15, 515 (1998).
Y. Kodama, S. Kumar, and A. Maruta, Opt. Lett. 22, 1689 (1997).
T.-S. Yang and W.L. Kath, Physica D 149, 80 (2001).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Mitschke, F. (2008). Compounds of Fiber-Optic Solitons. In: Dissipative Solitons: From Optics to Biology and Medicine. Lecture Notes in Physics, vol 751. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78217-9_7
Download citation
DOI: https://doi.org/10.1007/978-3-540-78217-9_7
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-78216-2
Online ISBN: 978-3-540-78217-9
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)