Soliton generation in optical fiber networks. (English) Zbl 1483.35180
Summary: We consider the problem of soliton generation in branched optical fibers. A model based on the nonlinear Schrodinger equation on metric graphs is proposed. Number of generated solitons is computed for different branching topologies considering different initial pulse profiles. Experimental realization of the model is discussed.
MSC:
| 35Q51 | Soliton equations |
| 35C08 | Soliton solutions |
| 78A60 | Lasers, masers, optical bistability, nonlinear optics |
References:
| [1] | Hasegawa, A.; Tappert, F., Appl Phys Lett, 23, 142 (1973) |
| [2] | Mollenauer, L. F.; Stolen, R. H.; Gordon, J. P., Phys Rev Lett, 45, 1095 (1980) |
| [3] | Zakharov, V. E.; Shabat, A. B., Sov Phys-JETP, 34, 62 (1972) |
| [4] | Bullough, R. K.; Caudrey, P. J., Solitons (1980), Springer: Springer Berlin · Zbl 0428.00010 |
| [5] | Scott, A. C.; Chu, F. Y.F.; McLaughlin, D. W., Proc IEEE, 61, 1443 (1973) |
| [6] | Satsuma, J.; Yajima, N., Prog Theor Phys Suppl, 55, 284 (1974) |
| [7] | Hasegawa, A.; Kodama, Y., Proc IEEE, 69, 1145 (1981) |
| [8] | Taylor, J. R., Optical solitons: theory and experiment (1992), Cambridge University Press: Cambridge University Press Cambridge, England |
| [9] | Hasegawa, A.; Kodama, Y., Solitons in optical communications (1995), Oxford University Press: Oxford University Press Oxford · Zbl 0840.35092 |
| [10] | Kivshar, Y.; Agrawal, G., Optical solitons: from fibers to photonic crystals (2003), Elsevier Science |
| [11] | Dauxois, T.; Peyrard, M., Physics of solitons (2006), Cambridge University Press: Cambridge University Press Cambridge · Zbl 1192.35001 |
| [12] | Burzlaff, J., J Phys A, 21, 561 (1988) · Zbl 0695.35178 |
| [13] | Kivshar, Y. S., J Phys A, 22, 337 (1989) |
| [14] | Gredeskul, S. A.; Kivshar, Y. S., Phys Rev Lett, 62, 977 (1989) |
| [15] | Fokas, A. S.; Its, A. R., Phys Rev Lett, 68, 3117 (1992) · Zbl 0969.35537 |
| [16] | Panoiu, N.-C., Phys Rev A, 60, 4 (1999) |
| [17] | Nishizawa, N.; Okamura, R.; Goto, T., Jpn J Appl Phys, 38, 1 (1999) |
| [18] | Panoiu, N.-C.; Mel’nikov, I. V.; Mihalache, D.; Etrich, C.; Lederer, F., J Opt B, 4, R53 (2002) |
| [19] | Skryabin, D. V.; Yulin, A. V., Phys Rev E, 72, 016619 (2005) |
| [20] | Ganapathy, R.; Malomed, B. A.; Porsezian, K., Phys Lett A, 354, 366 (2006) |
| [21] | Carusotto, I.; Embriaco, D.; La Rocca, G. C., Phys Rev A, 65, 4 (2002) |
| [22] | Kartoshev, Y. V., Opt Lett, 31, 15 (2006) |
| [23] | Chernikov, S. V.; Taylor, J. R., Opt Lett, 19, 8 (1994) |
| [24] | Zhong, X.; Yao, N.; Sheng, J.; Cheng, K., Opt Laser Tech, 99, 1 (2018) |
| [25] | Zhong, X.; Wu, B.; Cheng, K., Optik (Stuttg), 162, 54 (2018) |
| [26] | Sobirov, Z.; Matrasulov, D.; Sabirov, K.; Sawada, S.; Nakamura, K., Phys Rev E, 81, 066602 (2010) |
| [27] | Sobirov, Z.; Matrasulov, D.; Sawada, S.; Nakamura, K., Phys Rev E, 84, 026609 (2011) |
| [28] | Adami, R.; Cacciapuoti, C.; Finco, D.; Noja, D., Rev Math Phys, 23, 4 (2011) · Zbl 1222.35182 |
| [29] | K. Sabirov, K.; A. Sobirov, Z.; Babajanov, D.; U. Matrasulov, D., Phys Lett A, 377, 860 (2013) · Zbl 1298.35236 |
| [30] | Noja, D., Philos Trans R Soc A, 372, 20130002 (2014) · Zbl 1322.35130 |
| [31] | Caputo, J.-G.; Dutykh, D., Phys Rev E, 90, 022912 (2014) |
| [32] | Uecker, H.; Grieser, D.; Sobirov, Z.; Babajanov, D.; Matrasulov, D., Phys Rev E, 91, 023209 (2015) |
| [33] | Noja, D.; Pelinovsky, D.; Shaikhova, G., Nonlinearity, 28, 2343 (2015) · Zbl 1328.35216 |
| [34] | Adami, R.; Cacciapuoti, C.; Noja, D., J Diff Eq, 260, 7397 (2016) · Zbl 1336.35316 |
| [35] | Sobirov, Z.; Babajanov, D.; Matrasulov, D.; Nakamura, K.; Uecker, H., EPL, 115, 50002 (2016) |
| [36] | Adami, R.; Serra, E.; Tilli, P., Commun Math Phys, 352, 387 (2017) · Zbl 1372.35319 |
| [37] | Kairzhan, A.; Pelinovsky, D. E., J Phys A, 51, 95203 (2018) · Zbl 1397.35278 |
| [38] | K. Sabirov, K.; Rakhmanov, S.; Matrasulov, D.; Susanto, H., Phys Lett A, 382, 1092 (2018) · Zbl 1383.35200 |
| [39] | Bolte, J.; Harrison, J., J Phys A, 36, L433 (2003) · Zbl 1047.81035 |
| [40] | K. Sabirov, K.; Yusupov, J.; Jumanazarov, D.; Matrasulov, D., Phys Lett A, 382, 2856 (2018) · Zbl 1404.81112 |
| [41] | Sabirov KK, Babajanov DB, Matrasulov DU, Kevrekidis PG. arXiv:1701.05707. |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
