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行波管中声参量放大效应的研究

STUDY OF PARAMETRIC EFFECT OF AMPLIFICATION IN PROGRESSIVE WAVE TUBE

  • 摘要: 本文应用Fenlon理论研究了当频率为f1的弱声信号与频率为f2=2f1的泵浦声信号,在非线性相互作用时出现的弱声信号被放大的简并参量放大过程。结果表明,这种放大效应与信号的初位相差(φ2-2φ1)有明显依赖关系,例如当φ1=π/2,φ2=0或φ1=0,φ2=π时可得弱声信号的最大增益,φ1,φ2为弱声和泵浦声的初位相。实验验证是在直径为5cm、长为13m的行波管中进行。实验中研究了不同距离处弱声信号的放大量与初位相差的关系,发现当φ1=π/2或φ2=π时的最大增益为1.8-2dB;实验中还研究了在最大和最小增益的初位相差时弱声信号放大量与距离的关系,所得实验结果与理论吻合较好。

     

    Abstract: By using Fenlon's theory the effect of degenerate parametric amplification occurred due to the nonlinear interaction of a weak sound signal with frequency f1 and a powerful pump wave with frequency f2=2f2 has been studied in this paper.The theory shows that this effect of amplification depends obviously on the initial phase of the signal and the maximum amplification of weak sound can be obtained at initial phase of weak sound φ1=π/2 or at initial phase of pump wave φ2=π.The experiment was carried out in a long progressive wave tube with 13 m length and 5 cm diameter.In experiment,the dependence of amplification of weak sound on its initial phase at different distance and the relationship between amplification of weak sound and distance at certain initial phase correspond to maximum and minimum amplification have been studied.Experiment shows that maximum amplification of weak sound,occurred at φ1=π/2 or φ2=π,is 1.8-2 dB.The experimental results coincide quite well with the theoretical prediction.

     

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