中国物理B ›› 2002, Vol. 11 ›› Issue (5): 456-460.doi: 10.1088/1009-1963/11/5/309

• GENERAL • 上一篇    下一篇

New approach to the normal mode method in underwater acoustics

王宁, 刘进忠   

  1. Department of Physics, Ocean University of Qingdao, Qingdao 266003, China
  • 收稿日期:2001-07-24 修回日期:2001-12-03 出版日期:2005-06-13 发布日期:2005-06-13
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 19234040).

New approach to the normal mode method in underwater acoustics

Wang Ning (王宁), Liu Jin-Zhong (刘进忠)   

  1. Department of Physics, Ocean University of Qingdao, Qingdao 266003, China
  • Received:2001-07-24 Revised:2001-12-03 Online:2005-06-13 Published:2005-06-13
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 19234040).

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摘要： A new approach to the numerical solution of normal mode problems in underwater acoustics is presented, in which the corresponding normal mode problem is transformed to the problem of solving a dynamic system. Three applications are considered: (1) the broad band normal mode problem; (2) the range-dependent problem with perturbation proportional to the range parameter; and (3) the evolution of the normal mode with environmental parameters. A numerical simulation for a broad band problem is performed, and the calculated eigenvalues have good agreement with those obtained by the standard normal mode code KRAKAN.

Abstract: A new approach to the numerical solution of normal mode problems in underwater acoustics is presented, in which the corresponding normal mode problem is transformed to the problem of solving a dynamic system. Three applications are considered: (1) the broad band normal mode problem; (2) the range-dependent problem with perturbation proportional to the range parameter; and (3) the evolution of the normal mode with environmental parameters. A numerical simulation for a broad band problem is performed, and the calculated eigenvalues have good agreement with those obtained by the standard normal mode code KRAKAN.

Key words: normal mode problem, dynamic system, numerical simulation

中图分类号:  (Underwater sound)

  • 43.30.+m
02.10.Ud (Linear algebra) 02.60.Dc (Numerical linear algebra)