Page 99 - 应用声学2019年第5期

第 38 卷 第 5 期 Vol. 38, No. 5
2019 年 9 月 Journal of Applied Acoustics September, 2019

⋄ 研究报告 ⋄

浅海孤子内波对水平纵向相关性的影响 ∗

张泽众 1,2† 骆文于 1 庞 哲 1,2 周益清 1,2

(1 中国科学院声学研究所 声场声信息国家重点实验室 北京 100190)
(2 中国科学院大学 北京 100049)

摘要 基于简正波理论和孤子内波模型，该文推导出声线经过孤子内波后的频域上的声压表达式，然后利用
声压表达式推导出水平纵向相关系数一般表达式，研究了浅海孤子内波引起的声场水平纵向相关系数的变化，
并且运用二维抛物方程模型仿真计算验证理论推导结果，并在简正波干涉环境下给出物理现象解释。结果表
明，孤子内波引起的浅海声场水平纵向相关系数变化，乃由简正波干涉所导致，当孤子内波幅度变化不是很大
时，其幅度改变不会引起水平纵向相关系数周期和幅度的显著变化。文中给出特定环境下的水平纵向相关系
数随时间变化的结果，当环境中第一、第二号简正波占主导地位时，水平纵向相关系数会呈现出周期变化。
关键词 孤子内波，水平纵向相关性，简正波干涉，抛物方程
中图法分类号: P733.2 文献标识码: A 文章编号: 1000-310X(2019)05-0851-06
DOI: 10.11684/j.issn.1000-310X.2019.05.014

Effect of shallow sea soliton internal waves on horizontal and longitudinal

correlations

ZHANG Zezhong 1,2 LUO Wenyu 1 PANG Zhe 1,2 ZHOU Yiqing 1,2

(1 State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China)
(2 University of Chinese Academy of Sciences, Beijing 100049, China)

Abstract The expression of acoustic pressure in the frequency domain is derived by using the two boundary
of the soliton based on the normal wave theory and soliton wave model. The variation law of horizontal
longitudinal correlation coefficient with time in the presence of the internal wave is derived theoretically and
the model of parabolic equation is used to verify the theoretical derivation. The results show that because
of the interference of normal wave, the internal soliton wave will cause the change of horizontal longitudinal
correlation coefficient. The result of the variation of horizontal longitudinal correlation coefficient with time
in a given environment is given in this paper, when the first and second normal waves are dominant in the
horizontal waveguide, the horizontal longitudinal correlation coefficient will have periodic variation, and the
period doesn’t change with extent of amplitude.
Key words Internal soliton wave, Horizontal longitudinal correlation, Normal wave interference, Parabolic
equation

2018-12-20 收稿; 2019-03-25 定稿
国家自然科学基金项目 (11774374)
∗
作者简介: 张泽众 (1990- ), 男, 河北邢台人, 博士研究生, 研究方向: 声学。
† 通讯作者 E-mail: 409423911@qq.com