中文摘要：

为研究声波之间的变参数相互作用,以伯格斯方程为基础,用谱分解方法推导了泵波与弱信号波整倍频率相互作用后弱信号波的数学解析式,研究了弱信号波在受到泵波不同频率、幅度和初始相位干扰时的能量变化情况.研究表明：二者频率比为2时,信号能量变化最大,可达9.84 dB;随着幅度比增大,信号能量变化减小;频率比大于3时,可不考虑二者初始相位差对信号波能量变化的影响;间断距离内随着传播距离的增加,弱信号波能量变化增大.

英文摘要：

A mathematical analysis that expressed the interaction between a pump wave and a weak signal with integral multiple frequencies was developed using spectral decomposition methods based on Burgers＇ equation.Changes to the energy of weak signal waves caused by the interference of pump waves at different frequencies,amplitudes and initial phases were studied.The changes in the wave energy in signals when the frequency ratio was two were greater,up to 9.84dB.When the ratio of amplitude increased,changes to the energy of the signal became smaller.When the frequency ratio was greater than 3,the impact of the differences between the initial phases on the final wave energy of the signal could be ignored.With increases in the distance the signal spread,changes to the wave energy of the signals rose in the intervening distance.