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一种水平变化可穿透波导中声传播问题的耦合简正波方法*

杨春梅 骆文于 张仁和 秦继兴

物理学报Issue(9):281-292,12.
物理学报Issue(9):281-292,12.DOI:10.7498/aps.62.094302

一种水平变化可穿透波导中声传播问题的耦合简正波方法*

A coupled-mode method for sound propagation in a range-dependent penetrable waveguide∗

杨春梅 1骆文于 2张仁和 1秦继兴1

作者信息

  • 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
  • 折叠

摘要

Abstract

The coupled-mode method based on the direct global matrix (DGMCM) approach for sound propagation in range-dependent waveguides [Luo et al.,“A numerically stable coupled-mode formulation for acoustic propagation in range-dependent waveguides,”Sci. China-Phys. Mech. Astron. 55, 572 (2012)] is further developed. The normal mode model KRAKEN is adopted to provide local modal solutions and their associated coupling matrices. As a result, the model DGMCM is capable of providing full two-way solutions for the two-dimensional realistic problems characterized by a penetrable bottom and a depth-varying sound speed profile. In addition, the closed-form expressions of coupling matrices for sound propagation in a range-dependent, two-layer waveguide are proposed. The numerical solutions of the coupling matrices by DGMCM agree well with the analytical solutions. Sound propagation in a penetrable wedge is solved by the updated DGMCM model. The numerical results indicate that the updated DGMCM model is numerically stable and accurate, and can provide benchmark solutions for realistic range-dependent problems.

关键词

耦合简正波理论/全局矩阵方法/可穿透楔形波导

Key words

coupled-mode theory/direct global matrix approach/penetrable waveguide

引用本文复制引用

杨春梅,骆文于,张仁和,秦继兴..一种水平变化可穿透波导中声传播问题的耦合简正波方法*[J].物理学报,2013,(9):281-292,12.

基金项目

国家自然科学基金(批准号:11125420,11174312)和中国科学院知识创新工程资助的课题.@@@@Project supported by the National Natural Science Foundation of China (Grant Nos.11125420,11174312), and the Knowledge Innovation Program of the Chinese Academy of Sciences (批准号:11125420,11174312)

物理学报

OA北大核心CSCDCSTPCD

1000-3290

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