TY - JOUR
T1 - Dynamics of moving cavity solitons in two-level laser system from symmetric gaussian input
T2 - vectorial cubic-quintic complex Ginzburg–Landau equation
AU - Djazet, Alain
AU - Fewo, Serge I.
AU - Tabi, Conrad B.
AU - Kofané, Timoléon C.
N1 - Funding Information:
The authors (S. I. Fewo, A. Djazet and T. C. Kofan?) would like to thank the CETIC (University of YaoundeI , Cameroon) for their helpful support. The work by CBT is supported by the Botswana International University of Science and Technology under the grant DVC/RDI/2/1/16I (25). CBT thanks the Kavli Institute for Theoretical Physics (KITP), University of California Santa Barbara (USA), where this work was supported in part by the National Science Foundation Grant no.NSF PHY-1748958.
Funding Information:
The authors (S. I. Fewo, A. Djazet and T. C. Kofané) would like to thank the CETIC (University of YaoundeI, Cameroon) for their helpful support. The work by CBT is supported by the Botswana International University of Science and Technology under the grant DVC/RDI/2/1/16I (25) . CBT thanks the Kavli Institute for Theoretical Physics (KITP), University of California Santa Barbara (USA), where this work was supported in part by the National Science Foundation Grant no. NSF PHY-1748958 .
Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2021/11
Y1 - 2021/11
N2 - This paper studies the interaction of an electromagnetic field with the matter in a laser cavity without assuming a fixed direction of the transverse electric field, described by the two-level Maxwell–Bloch equations. The derivation of the laser (3+1)-dimensional vectorial cubic-quintic complex Ginzburg–Landau equation is reported using a perturbative nonlinear analysis performed near the laser threshold. Considering the vector (2+1)D cubic-quintic complex Ginzburg–Landau equation, the stability of the moving dissipative solitons in the laser cavity is analyzed. Using the variational approximation, stability conditions and propagation trajectories of dissipative solitons are derived. Direct numerical simulations fully confirm analytical predictions of dissipative solitons trapped in an effective potential well. Potential applications of the obtained results related to spatial dissipative solitons, may be found in class B laser by considering solitons as individual addressable and shift registers of the all-optical data processing systems.
AB - This paper studies the interaction of an electromagnetic field with the matter in a laser cavity without assuming a fixed direction of the transverse electric field, described by the two-level Maxwell–Bloch equations. The derivation of the laser (3+1)-dimensional vectorial cubic-quintic complex Ginzburg–Landau equation is reported using a perturbative nonlinear analysis performed near the laser threshold. Considering the vector (2+1)D cubic-quintic complex Ginzburg–Landau equation, the stability of the moving dissipative solitons in the laser cavity is analyzed. Using the variational approximation, stability conditions and propagation trajectories of dissipative solitons are derived. Direct numerical simulations fully confirm analytical predictions of dissipative solitons trapped in an effective potential well. Potential applications of the obtained results related to spatial dissipative solitons, may be found in class B laser by considering solitons as individual addressable and shift registers of the all-optical data processing systems.
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U2 - 10.1007/s00340-021-07700-y
DO - 10.1007/s00340-021-07700-y
M3 - Article
AN - SCOPUS:85117618671
SN - 0946-2171
VL - 127
JO - Applied Physics B: Lasers and Optics
JF - Applied Physics B: Lasers and Optics
IS - 11
M1 - 151
ER -