Skip to main content
Erschienen in: Optical and Quantum Electronics 5/2019

01.05.2019

Energy diagram and stability range of families of soliton molecules in fibers

verfasst von: A.-B. Moubissi, Th. B. Ekogo, Z. H. Moussambi Membetsi, K. Nithyanandan, S. Nse Biyoghé

Erschienen in: Optical and Quantum Electronics | Ausgabe 5/2019

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Following an analytically predicted energy diagram, we numerically investigate the behavior of a soliton molecule in terms of its energy with respect to the breathing factor and average-dispersion of dispersion managed optical fiber lines. We demonstrate the stable families of soliton molecules in anomalous, normal and zero average dispersion regimes. For normal average dispersion, it is showed that each stable family of SM is distributed over a lower and an upper branches. Further, the stability range is limited by a threshold value and a higher value of the breathing factor.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Anhänge
Nur mit Berechtigung zugänglich
Literatur
Zurück zum Zitat Agrawal, G.P.: Fiber-Optics Communication Systems, 4th edn. Wiley-Interscience, New York (2010)CrossRef Agrawal, G.P.: Fiber-Optics Communication Systems, 4th edn. Wiley-Interscience, New York (2010)CrossRef
Zurück zum Zitat Alamoudi, S.M., Al Khawaja, U., Baizakov, B.B.: Averaged dynamics of soliton molecules in dispersion-managed optical fibers. Phys. Rev. A 89, 1–9 (2014)CrossRef Alamoudi, S.M., Al Khawaja, U., Baizakov, B.B.: Averaged dynamics of soliton molecules in dispersion-managed optical fibers. Phys. Rev. A 89, 1–9 (2014)CrossRef
Zurück zum Zitat Feng, B.F., Malomed, B.A.: Antisymmetric solitons and their interactions in strongly dispersion-managed fiber-optic systems. Opt. Commun. 229, 173–185 (2004)ADSCrossRef Feng, B.F., Malomed, B.A.: Antisymmetric solitons and their interactions in strongly dispersion-managed fiber-optic systems. Opt. Commun. 229, 173–185 (2004)ADSCrossRef
Zurück zum Zitat Gabitov, I., Indik, R., Mollenauer, L., Shkarayev, M., Stepanov, M.: Twin families of bisolitons in dispersion-managed systems. Opt. Lett. 32, 605–607 (2007)ADSCrossRef Gabitov, I., Indik, R., Mollenauer, L., Shkarayev, M., Stepanov, M.: Twin families of bisolitons in dispersion-managed systems. Opt. Lett. 32, 605–607 (2007)ADSCrossRef
Zurück zum Zitat Gholami, S., Rohrmann, Ph, Hause, A., Mitschke, F.: Optimization strategy to find shapes of soliton molecules. Appl. Phys. B. 116, 43–52 (2014)ADSCrossRef Gholami, S., Rohrmann, Ph, Hause, A., Mitschke, F.: Optimization strategy to find shapes of soliton molecules. Appl. Phys. B. 116, 43–52 (2014)ADSCrossRef
Zurück zum Zitat Gordon, J.P.: Interaction forces among solitons in optical fibers. Opt. Lett. 8, 596–598 (1983)ADSCrossRef Gordon, J.P.: Interaction forces among solitons in optical fibers. Opt. Lett. 8, 596–598 (1983)ADSCrossRef
Zurück zum Zitat Grelu, Ph., Belhache, F., Gutty, F., Soto-Crespo, J.M.: Soliton pairs in a fibre laser: from anomalous to normal average dispersion regime. Opt. Lett. 27, 966–968 (2002)ADSCrossRef Grelu, Ph., Belhache, F., Gutty, F., Soto-Crespo, J.M.: Soliton pairs in a fibre laser: from anomalous to normal average dispersion regime. Opt. Lett. 27, 966–968 (2002)ADSCrossRef
Zurück zum Zitat Hause, A., Mitschke, F.: Higher-order equilibria of temporal soliton molecules in dispersion-managed fibers. Phys. Rev. A 88, 1–10 (2013)CrossRef Hause, A., Mitschke, F.: Higher-order equilibria of temporal soliton molecules in dispersion-managed fibers. Phys. Rev. A 88, 1–10 (2013)CrossRef
Zurück zum Zitat Hause, A., Hartwig, H., Seifert, B., Stolz, H., Böhm, M., Mitschke, F.: Phase structure of solton molecules. Phys. Rev. A 75, 1–7 (2007)CrossRef Hause, A., Hartwig, H., Seifert, B., Stolz, H., Böhm, M., Mitschke, F.: Phase structure of solton molecules. Phys. Rev. A 75, 1–7 (2007)CrossRef
Zurück zum Zitat Hause, A., Hartwig, H., Böhm, M., Mitschke, F.: Binding mechanism of temporal soliton molecules. Phys. Rev. A 78, 1–9 (2008)CrossRef Hause, A., Hartwig, H., Böhm, M., Mitschke, F.: Binding mechanism of temporal soliton molecules. Phys. Rev. A 78, 1–9 (2008)CrossRef
Zurück zum Zitat Krupa, K., Nithyanandan, K., Andral, U., Dinda, P., Grelu, Ph.: Real-time observation of internal motion within ultrafast dissipative optical soliton molecules. Phys. Rev. Lett. 118, 1–5 (2017)CrossRef Krupa, K., Nithyanandan, K., Andral, U., Dinda, P., Grelu, Ph.: Real-time observation of internal motion within ultrafast dissipative optical soliton molecules. Phys. Rev. Lett. 118, 1–5 (2017)CrossRef
Zurück zum Zitat Lakoba, T.I., Yang, J., Kaup, D.J., Malomed, B.A.: Antisymmetric solitons and their interactions in strongly dispersion-managed fiber-optic systems. Opt. Commun. 149, 366–375 (1998)ADSCrossRef Lakoba, T.I., Yang, J., Kaup, D.J., Malomed, B.A.: Antisymmetric solitons and their interactions in strongly dispersion-managed fiber-optic systems. Opt. Commun. 149, 366–375 (1998)ADSCrossRef
Zurück zum Zitat Malomed, B.A.: Bound solitons in the nonlinear Schrödinger–Ginzburg–Landau equation. Phys. Rev. A 44, 6954–6957 (1991)ADSMathSciNetCrossRef Malomed, B.A.: Bound solitons in the nonlinear Schrödinger–Ginzburg–Landau equation. Phys. Rev. A 44, 6954–6957 (1991)ADSMathSciNetCrossRef
Zurück zum Zitat Mitschke, F.M., Mollenauer, L.F.: Experimental observation of interaction forces between solitons in optical fibers. Opt. Lett. 12, 355–357 (1983)ADSCrossRef Mitschke, F.M., Mollenauer, L.F.: Experimental observation of interaction forces between solitons in optical fibers. Opt. Lett. 12, 355–357 (1983)ADSCrossRef
Zurück zum Zitat Moubissi, A.-B., Nse Biyoghé, S., Mback, C.B.L., Ekogo, T. B., Ben-Bolie, G.H., Kofané, T.C., Tchofo Dinda, P.: Analytical design of soliton molecules in fibers. J. Opt. 18, 1–6 (2016)CrossRef Moubissi, A.-B., Nse Biyoghé, S., Mback, C.B.L., Ekogo, T. B., Ben-Bolie, G.H., Kofané, T.C., Tchofo Dinda, P.: Analytical design of soliton molecules in fibers. J. Opt. 18, 1–6 (2016)CrossRef
Zurück zum Zitat Moubissi, A.-B., Tchofo Dinda, P., Nse Biyoghé, S.: Highly stable families of soliton molecules in fiber-optic systems. J.Opt. 20, 1–9 (2018)CrossRef Moubissi, A.-B., Tchofo Dinda, P., Nse Biyoghé, S.: Highly stable families of soliton molecules in fiber-optic systems. J.Opt. 20, 1–9 (2018)CrossRef
Zurück zum Zitat Nakkeeran, K., Moubissi, A.B., Tchofo Dinda, P., Wabnitz, S.: Analytical method for designing dispersion-managed fiber systems. Opt. Lett. 20, 1544–1546 (2001)ADSCrossRef Nakkeeran, K., Moubissi, A.B., Tchofo Dinda, P., Wabnitz, S.: Analytical method for designing dispersion-managed fiber systems. Opt. Lett. 20, 1544–1546 (2001)ADSCrossRef
Zurück zum Zitat Nakkeeran, K., Moubissi, A.B., Tchofo Dinda, P.: Analytical design of dispersion-managed fiber system with map strength 1.65. Phys. Lett. A 308(5–6), 417–425 (2003)ADSCrossRef Nakkeeran, K., Moubissi, A.B., Tchofo Dinda, P.: Analytical design of dispersion-managed fiber system with map strength 1.65. Phys. Lett. A 308(5–6), 417–425 (2003)ADSCrossRef
Zurück zum Zitat Nijhof, J.H.B., Forysiak, W., Doran, N.J.: The averaging method for finding exactly periodic dispersion-managed solitons. IEEE J. Sel Top. Quantum Electron. 6, 330–336 (2000)ADSCrossRef Nijhof, J.H.B., Forysiak, W., Doran, N.J.: The averaging method for finding exactly periodic dispersion-managed solitons. IEEE J. Sel Top. Quantum Electron. 6, 330–336 (2000)ADSCrossRef
Zurück zum Zitat Nse Biyoghé, S., Ekogo, Th.B., Moubissi, A.-B.: Collective variable analysis of the nonlinear Schrödinger equation for soliton molecules in fibers. J. Nonlinear Opt. Phys. Mater. 26, 1–13 (2017)CrossRef Nse Biyoghé, S., Ekogo, Th.B., Moubissi, A.-B.: Collective variable analysis of the nonlinear Schrödinger equation for soliton molecules in fibers. J. Nonlinear Opt. Phys. Mater. 26, 1–13 (2017)CrossRef
Zurück zum Zitat Paré, C., Bélanger, P.-A.: Antisymmetric soliton in a dispersion-managed system. Opt. Commun. 168, 103–109 (1999)ADSCrossRef Paré, C., Bélanger, P.-A.: Antisymmetric soliton in a dispersion-managed system. Opt. Commun. 168, 103–109 (1999)ADSCrossRef
Zurück zum Zitat Rohrmann, P., Hause, A., Mitschke, F.: Solitons beyond binary: possibility of fibre-optic transmission of two bits per clock period. Sci. Rep. 2, 1–4 (2012)CrossRef Rohrmann, P., Hause, A., Mitschke, F.: Solitons beyond binary: possibility of fibre-optic transmission of two bits per clock period. Sci. Rep. 2, 1–4 (2012)CrossRef
Zurück zum Zitat Rohrmann, P., Hause, A., Mitschke, F.: Two-soliton and three-soliton molecules in optical fibers. Phys. Rev. A 87, 1–10 (2013)CrossRef Rohrmann, P., Hause, A., Mitschke, F.: Two-soliton and three-soliton molecules in optical fibers. Phys. Rev. A 87, 1–10 (2013)CrossRef
Zurück zum Zitat Sakaguchi, H., Skryabin, D.V., Malomed, B.A.: Stationary and oscillatory bound states of dissipative solitons created by third-order dispersion. Opt. Lett. 43, 2688–2690 (2018)ADSCrossRef Sakaguchi, H., Skryabin, D.V., Malomed, B.A.: Stationary and oscillatory bound states of dissipative solitons created by third-order dispersion. Opt. Lett. 43, 2688–2690 (2018)ADSCrossRef
Zurück zum Zitat Smith, N.J., Knox, F.M., Doran, N.J., Blow, K.J., Bennion, I.: Enhanced power solitons in optical fibers with periodic dispersion management. Electron. Lett. 32, 54–55 (1996)CrossRef Smith, N.J., Knox, F.M., Doran, N.J., Blow, K.J., Bennion, I.: Enhanced power solitons in optical fibers with periodic dispersion management. Electron. Lett. 32, 54–55 (1996)CrossRef
Zurück zum Zitat Stratmann, M., Pagel, T., Mitschke, F.: Experimental observation of temporal soliton molecules. Phys. Rev. Lett. 95, 1–4 (2005)CrossRef Stratmann, M., Pagel, T., Mitschke, F.: Experimental observation of temporal soliton molecules. Phys. Rev. Lett. 95, 1–4 (2005)CrossRef
Zurück zum Zitat Tang, D.Y., Man, W.S., Tam, H.Y., Drummond, P.D.: Observation of bound states of solitons in passively mode-locked fiber laser. Phys. Rev. A 64, 1–3 (2001)CrossRef Tang, D.Y., Man, W.S., Tam, H.Y., Drummond, P.D.: Observation of bound states of solitons in passively mode-locked fiber laser. Phys. Rev. A 64, 1–3 (2001)CrossRef
Zurück zum Zitat Tchofo Dinda, P., Moubissi, A.B., Nakkeeran, K.: Collective variable theory for optical solitons in fibers. Phys. Rev. E 64, 1–15 (2001)CrossRef Tchofo Dinda, P., Moubissi, A.B., Nakkeeran, K.: Collective variable theory for optical solitons in fibers. Phys. Rev. E 64, 1–15 (2001)CrossRef
Zurück zum Zitat Turitsyn, S.K., Bale, B.G., Fedoruk, M.P.: Dispersion-managed solitons in fibre systems and lasers. Phys. Rep. 521, 1–69 (2012)MathSciNetCrossRef Turitsyn, S.K., Bale, B.G., Fedoruk, M.P.: Dispersion-managed solitons in fibre systems and lasers. Phys. Rep. 521, 1–69 (2012)MathSciNetCrossRef
Zurück zum Zitat Zakharov, V.E., Wabnitz, S.: Optical Solitons: Theoretical Challenges and Industrial Perspectives. Springer, New York (1998) Zakharov, V.E., Wabnitz, S.: Optical Solitons: Theoretical Challenges and Industrial Perspectives. Springer, New York (1998)
Metadaten
Titel
Energy diagram and stability range of families of soliton molecules in fibers
verfasst von
A.-B. Moubissi
Th. B. Ekogo
Z. H. Moussambi Membetsi
K. Nithyanandan
S. Nse Biyoghé
Publikationsdatum
01.05.2019
Verlag
Springer US
Erschienen in
Optical and Quantum Electronics / Ausgabe 5/2019
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-019-1855-3

Weitere Artikel der Ausgabe 5/2019

Optical and Quantum Electronics 5/2019 Zur Ausgabe

Neuer Inhalt