Analytic exploration of AM/PM conversion characteristics of high power millimeterwave traveling wave tubes using Eulerian hydrodynamic analysis 
Received:January 18, 2018 Revised:April 11, 2018 download 
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Abstract:In this paper, a simplified nonlinear Eulerian beamwave interaction theory model for helix traveling wave tubes is developed. Next, derived from the nonlinear model, a secondorder Eulerian largesignal analytic solution is obtained by the method of successive approximation. Then, the analytic solution of AM/PM conversion is obtained and the relationship between AM/PM conversion and electron phase is also found. Finally, the Eulerian largesignal analytic solution and the analytic solution of AM/PM conversion are compared to a Lagrangian beamwave interaction theory model and traditional Eulerian nonlinear models. All the simulations are conducted on a set of millimeterwave traveling wave tube parameters which are based on a single pitch section of a QBand traveling wave tube. It is found that the gain, phase and AM/PM conversion of Eulerian largesignal analytic solution agree well with Lagrangian beamwave interaction theory model before saturation occurs. The maximum error of gain is less than 8.5% near saturation. The Eulerian largesignal analytic solution gain more accuracy than traditional Eulerian models. The present Eulerian largesignal analytic solution can describe saturation effects which is caused by electron overtaking that cannot be found by traditional Eulerian analysis. Results validate the correctness and effectiveness of our Eulerian largesignal analytic solution and the analytic solution of AM/PM conversion. The analytic model of AM/PM conversion is expected to be useful as a firsthand design and simulation tool of AM/PM conversion for millimeterwave traveling wave tubes. 
keywords:millimeterwave traveling wave tube, beamwave interaction, AM/PM conversion, largesignal analytic solution, Eulerian hydrodynamics 
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