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Nonlinear Analytic Solution of Eulerian Beam-Wave Interaction Theory Considering Harmonic Interaction of Traveling-Wave Tube Amplifiers
摘要： In this paper, a novel Eulerian nonlinear beam-wave interaction (BWI) theory considering harmonic interaction of a helix traveling-wave tube (TWT) is developed. Derived from this Eulerian model, the novel Eulerian nonlinear analytic solutions (the fourth-order analytic solution of fundamental and the second-order analytic solution of harmonic) are first obtained by the method of successive approximation. The analytic relationships between electric fields of fundamental/harmonic frequencies and electron phases are also found. Then, the Eulerian nonlinear analytic solutions and Eulerian nonlinear BWI theory are compared to a Lagrangian theory. C-band and Ku-band helix TWTs based on a single pitch section are included in the simulation. It is found that the Eulerian nonlinear analytic solutions and Eulerian nonlinear BWI theory agree well with the Lagrangian theory at 1-dB gain compression point. Interestingly, the saturation effects caused by electron overtaking cannot be found by the traditional Eulerian analysis but can be described by the Eulerian nonlinear analytic solutions and Eulerian nonlinear BWI theory. Moreover, Eulerian nonlinear analytic solutions are simpler and more accurately than existing approaches and, thus, allow analytical progress. This paper confirms that the Eulerian nonlinear analytic solutions can outperform the previous proposals.
关键词： analysis,nonlinear,traveling-wave tubes (TWTs),Eulerian,Analytic solution,beam-wave interaction (BWI),harmonic
更新于2025-09-23 15:22:29
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Interactions between M-typed dark solitons in nonlinear optics
摘要： Solitons are used in such field as nonlinear optics. In this manuscript, interactions between M-typed dark solitons are investigated analytically in the decreasing dispersion fiber. With symbolic computation, interactions between them are simulated via the analytic two-soliton solution. Relevant interaction characteristics of them are analyzed. Method of weakening soliton interaction is suggested.
关键词： Analytic solution,Dark solitons,Nonlinear optics,Decreasing dispersion fiber
更新于2025-09-16 10:30:52
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Periodic transmission and control of pulses in solid mechanics and nonlinear optics
摘要： Nonlinear physical models play an important role in basic research of solid mechanics and nonlinear optics. In this study, a high-order variable coe?cient nonlinear Sch?rdinger equation, which can be used to simulate pulse propagation in various media, is analytical investigated. Using the bilinear method, analytical solution is obtained. Pulse propagation characteristics are analyzed, and the in?uences of relevant physical parameters on pulse propagation are discussed. Results have an impact on related physical sciences, engineering and other ?elds.
关键词： Nonlinear optics,Nonlinear Sch?rdinger equation,Analytic solution
更新于2025-09-11 14:15:04