| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
|
|
|
|
Generalized Coupled-Mode Formulation for Sound Propagation in Range-Dependent Waveguides |
| LUO Wen-Yu1**, YANG Chun-Mei1,2, ZHANG Ren-He1 |
1State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190
2Graduate University of Chinese Academy of Sciences, Beijing 100049
|
|
| Cite this article: |
|
LUO Wen-Yu, YANG Chun-Mei, ZHANG Ren-He 2012 Chin. Phys. Lett. 29 014302 |
|
|
|
|
Abstract An accurate and numerically stable method based on the coupled-mode theory is presented. By applying the direct global matrix approach to obtain the modal expansion coefficients, this method is numerically stable. In addition, appropriately normalized range solutions are introduced, which resolves the overflow problem entirely. Furthermore, we put forward source conditions appropriate for the line-source problem in plane geometry. As a result, this method is capable of dealing with the scenario where a line source is located inside the region of a deformation. Closed-form expressions for coupling matrices are provided for ideal waveguides. Numerical results indicate that the present method is accurate and numerically stable. Consequently, this model can serve as a benchmark in range-dependent propagation modeling.
|
| Keywords:
43.30.Bp
43.30.Gv
43.20.Fn
|
|
|
Received: 05 September 2011
Published: 07 February 2012
|
|
| PACS: |
43.30.Bp
|
(Normal mode propagation of sound in water)
|
| |
43.30.Gv
|
(Backscattering, echoes, and reverberation in water due to combinations of boundaries)
|
| |
43.20.Fn
|
(Scattering of acoustic waves)
|
|
|
|
|
|
[1] Collis J M, Siegmann W L, Jensen F B, Zampolli M, Küsel E T and Collins M D 2008 J. Acoust. Soc. Am. 123 51
[2] Pierce A D 1965 J. Acoust. Soc. Am. 37 19
[3] Collins M D, Schmidt H and Siegmann W L 2000 J. Acoust. Soc. Am. 107 1964
[4] Zampolli M, Tesei A, Jensen F B, Malm N and Blottman III J B 2007 J. Acoust. Soc. Am. 122 1472
[5] Ferla C, Porter M and Jensen F 1993 C-SNAP: Coupled SACLANTCEN normal mode propagation model (La Spezia: SACLANT Undersea Research Centre)
[6] Porter M B, Jensen F B and Ferla C M 1991 J. Acoust Soc. Am. 89 1058
[7] Evans R B 1986 J. Acoust. Soc. Am. 80 1414
[8] Jensen F B, Kuperman W A, Porter M B and Schmidt H 2011 Computational Ocean Acoustics (New York: American Institute of Physics)
[9] Schmidt H and Jensen F B 1985 J. Acoust. Soc. Am. 77 813
[10] 1986 J. Acoust. Soc. Am. Suppl. 1 80 S36
[11] 1987 J. Acoust. Soc. Am. Suppl. 1 81 S39
[12] Jensen F B and Ferla C M 1990 J. Acoust. Soc. Am. 87 1499
[13] Buckingham M J and Tolstoy A 1990 J. Acoust. Soc. Am. 87 1511
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
