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Low-Frequency Normal Mode Reverberation Model

저주파수 정상모드 잔향음 모델

Suntaek Oh1
,
Sungho Cho1*
,
Donhyug Kang1
,
Kyoungju Park2
오 선택1
,
조 성호1*
,
강 돈혁1
,
박 경주2
1Department of Maritime Security Research Center, Korea Institute of Ocean Science & Technology
2Department of Maritime Security Research Center, Korea Institute of Ocean Science & Technology, Ansan 426-744, Republic of Korea
1한국해양과학기술원 해양방위연구센터
2해군사관학교
*교신저자. *Corresponding Author. 
31 May 2015. pp. 184-191
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Abstract

In this paper, a normal mode reverberation model for a range-independent environment of shallow water is proposed to calculate the reverberation level in the low-frequency range. Normal mode is used to calculate the acoustic energy propagating from the source to the scattering area and from the scattering area to the receiver. Each mode is decomposed into up and down going waves to consider scattering strength at the scattering area. The scattering functional form combines Lambert’s law with a Gaussian-like term near the specular direction based on Kirchhoff approximation considering bottom condition. For verification of the suggested model, the result is relatively compared to several solutions of the problem XI and XV in the Reverberation Modeling Workshop I sponsored by the US Office of Naval Research.

Keywords
Normal mode
Ocean Bottom reverberation
Scattering function
Lambert’s law

본 논문에서는 천해의 거리 독립환경에서 저주파수 대역의 잔향음 준위를 계산하는 정상모드 잔향음 모델 개발을 제안하였다. 정상모드를 이용하여 음원에서 산란체, 산란체에서 수신기까지의 음파 전달을 계산하였다. 산란면적에서 상하로 전달되는 음파는 각 모드를 이용하여 고려하였다. 산란함수는 기존에 제시된 해저면 조건을 고려한 람베르트 공식(Lambert’s law)과 반사각 부근에서는 Kirchhoff 근사법에 의한 가우시안 형태를 조합하였다. 제안 모델을 검증하기 위해 미국 ONR(Office of Naval Research)이 지원한 제 I회 잔향음 모델링 워크샵(Reverberation Modeling Workshop I, RMW I)의 XI, XV번 문제를 기준으로 상대비교를 수행하였다.

키워드
정상모드
해저면 잔향음
산란함수
람베르트 공식
References
1
1.R. J. Urick, Principles of Underwater Sound (McGraw-Hill, New York, 1983), pp 237-290.
2
2.D. R. Jackson and K. B. Briggs, “High-frequency bottom scattering: Roughness versus sediment volume scattering,” J. Acoust. Soc. Am. 92, 962-977 (1992).
3
3.J. W. Choi, J. Na, and W. Seong, “240-kHz Bistatic Bottom Scattering Measurements in Shallow Water, IEEE J. Oceanic Eng. 26, 54-62 (2001).
4
4.K. L. Williams and D. R. Jackson, “Bistatic Bottom Scattering: Model, Experiments, and Model/Data Comparison,” Applied Physics Laboratory, University of Washington, APL-UW Tech. Rep. 9602, 1997.
5
5.D. D. Ellis and D. V. Crowe, “Bistatic reverberation calcula-tions using a three- dimension scattering function,” J. Acoust. Soc. Am. 89, 2207-2214 (1991).
6
6.M. T. Sundvik and S. M. Reilly, “Measurements of low grazing angle bottom backscatter at frequencies from 220 to 1000 Hz in the central Mediterranean Sea,” J. Acoust. Soc. Am. 92, 2466 (1992).
7
7.E. R. Franchi, J. M. Griffin, and B. J. King, “NRL reverberation model: A computer program for the prediction and analysis of medium-to-long-range boundary reverberation,” Naval Research Laboratory, Washington DC, Report8721 (1984).
8
8.H. Weinberg, “The Generic SONAR model,” Naval Under-water System Center, New London, CT, Technical Document 5971D (1985).
9
9.K. Lee, Y. Chu, and W. Seong, “Geometrical ray-bundle reverberation modeling,” J. Computational Acoustics, 21, 1350011-1~17(2013).
10
10.Y. Choo, W. Seong, and K. Lee, “Modeling and analysis of monostatic seafloor reverberation from bottom consisting of two slopes,” J. Computational Acoustics, 22, 1450005-1~15 (2014).
11
11.T. C. Yang and T. J. Hayward, “Low-frequency arctic reverberation: II. modeling of long-range reverberation and comparison with data,” J. Acoust. Soc. Am. 93, 2524-2534 (1993).
12
12.N. Kim, S. Oh, K.-S. Yoon, S. Lee, and J. Na, “Bi-static low-frequency reverberation model in shallow water;” J. Acoust. Soc. Kr. 22, 472-481 (2003).
13
13.S. Oh, S. Cho, and D. Kang, “Low frequency reverberation modeling in shallow water using a normal-mode theory” (in Korean), J. Acoust. Soc. Kr. Suppl. 1(s) 33, 299-300 (2014).
14
14.H. P. Bucker and H. E. Morris, “Normal-mode reverberation in channels or ducts,” J. Acoust. Soc. Am. 44, 827-828 (1968).
15
15.R. Zhang and G. Jin, “Normal-mode theory for the average reverberation intensity in shallow water,” J. Sound Vib. 119, 215-223 (1987).
16
16.G. Duckworth, K. LePage, and T. Farrell, “Low-frequency long-range propagation and reverberation in the central Arctic: Analysis of experimental results,” J. Acoust. Soc. Am. 110, 747-760 (2001).
17
17.L. M. Brekhovskikh and Yu. P. Lysanov, Fundermentals of Ocean Acoustics (Springer-Verlag, New York, 1982), pp. 207-209.
18
18.Office of Naval Research, Reverberation Modeling Workshop, http://www.onr.navy.mil/reports/FY09/oaperkin.pdf/, 2009.
Information
  • Publisher :The Acoustical Society of Korea
  • Publisher(Ko) :한국음향학회
  • Journal Title :The Journal of the Acoustical Society of Korea
  • Journal Title(Ko) :한국음향학회지
  • Volume : 34
  • No :3
  • Pages :184-191
  • Received Date : 2015-03-17
  • Accepted Date : 2015-04-16
  • DOI :https://doi.org/10.7776/ASK.2015.34.3.184
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