| 朱飞龙,李风华,Eric I. Thorsos.一种快速求解宽频简正波的方法[J].声学技术,2018,37(1):38~42 |
| 一种快速求解宽频简正波的方法 |
| A fast method for broadband normal mode computation |
| 投稿时间：2017-04-21 修订日期：2017-06-19 |
| DOI：10.16300/j.cnki.1000-3630.2018.01.007 |
| 中文关键词: 微扰理论 简正波 宽带信号 脉冲波形 |
| 英文关键词: perturbation theory normal mode broadband signal impulse waveform |
| 基金项目:国家自然科学基金资助项目（11125420） |
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| 中文摘要: |
| 针对宽带信号的简正波解，传统的求解简正波数值方法常常需要重复计算本征值方程，计算效率低。文中将频率的变化当作扰动，提出利用微扰理论得到参考频率附近的简正波解。该方法具有直接、精确、高效的特点，计算得到的水平波数和本征函数与KRAKENC程序计算结果吻合较好，两种方法计算得到的脉冲波形最大相关系数大于0.97。 |
| 英文摘要: |
| For the broadband normal mode computation, conventional normal mode numerical code needs to be used repeatedly, which lowers the computational efficient. Viewing the change of frequency as perturbation, a fast method based on perturbation theory is presented in this paper. This method is direct, fast and accurate. Numerical simulations in shallow water and deep ocean are performed, the calculated horizontal wave-numbers and modal eigen-functions by this method agree well with those obtained by KRAKENC method, and the maximum cross correlation between the impulse waveforms calculated by the two methods is greater than 0.97. |
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