| 二维矩形波导管内和频差频声场的非线性传播 |
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| 引用本文： | 邓明晰. 二维矩形波导管内和频差频声场的非线性传播[J]. 声学学报, 1997, 22(6): 543-549. DOI: 10.15949/j.cnki.0371-0025.1997.06.010 |
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| 作者姓名： | 邓明晰 |
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| 作者单位： | 重庆后勤工程学院 |
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| 摘 要： | 本文采用声场部分波理论和二阶微扰方法,在二维矩形波导管内,讨论了两个具有不同频率的基波模式相互作用产生的和频差频声场的非线性传播问题。当两个模式的相速相等时,和频差频声场才具有非线性性质;和频差频声场的对称性取决于两个基波模式的对称性。由二阶非线性波的初始激发条件,本文还得到了和频差频声场的解析表达式。
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| 收稿时间： | 1996-07-28 |
Nonlinear propagation of sum frequency and difference frequency acoustic fields in a two-dimensional rectangular duct |
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| DENG Mingxi. Nonlinear propagation of sum frequency and difference frequency acoustic fields in a two-dimensional rectangular duct[J]. ACTA ACUSTICA, 1997, 22(6): 543-549. DOI: 10.15949/j.cnki.0371-0025.1997.06.010 |
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| Authors: | DENG Mingxi |
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| Abstract: | The nonlinear propagation, in a two-dimensional rectangular duct, of sum frequency and difference frequency acoustic field, arising from the cross-interaction of two fundamental modes with different frequencies, has been investigated by using the partial wave theory of acoustic fields and the technique of second-order approximation. It is found that the acoustic fields of sum and difference frequency hold the second-order nonlinearities once two fundamental modes with different frequencies have the same phase velocities, and that the symmetric characteristics of sum frequency and difference frequency acoustic fields depend on that of two fundamental modes. With the initial condition of excitation of the second-order nonlinear acoustic waves, the analytical expressions of sum frequency and difference frequency acoustic fields have also been obtained in the present paper. |
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