An Euler Method for Simulating Linear Beam-Wave Interactions in Traveling-Wave Pipelines
A technology of injection-wave interaction and Euler method, which is applied in the Euler field of simulating the linear injection-wave interaction of traveling wave tubes, can solve the problem of low calculation accuracy and achieve the effect of small memory consumption and fast calculation speed
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[0013] The present invention will be further described below in conjunction with the accompanying drawings and specific embodiments.
[0014] The flow chart of the simulation method of injection wave interaction of traveling wave tube of the present invention is as follows figure 1 As shown, it specifically includes the following steps:
[0015] A. First, linearize the Euler nonlinear theoretical model to obtain the Euler linear injection-wave interaction dispersion equation.
[0016] The equation system of the Euler nonlinear theoretical model is:
[0017]
[0018]
[0019]
[0020] Among them, A 0 (z) and A 1 (z) represent the DC component and the first-order component of the electronic phase respectively, a(z) represents the normalized field amplitude, m 0 and q 0 represent the mass and charge of the electron, respectively, ω represents the angular frequency, and ζ 1 is A 1 Argument of (z), γ 0 represents the relativistic factor, υ 0 Indicates the initial ...
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