### Abstract

The method of statistical simulation (Monte Carlo) is used for the first time to study the influence of the angular source divergence on the characteristics of transmitted acoustic radiation with allowance for the multiple scattering contribution. Results of calculations for a point source of unit power with divergence angles φ = 5, 10, 15, 20, and 25° at frequencies F = 1, 2, 3, and 4 kHz are presented for the outer scale of turbulence L_{0} = 10, 15, 20, 40, 60, and 80 m. It is established that for F = 2 kHz the multiple scattering contribution to the transmitted radiation intensity increases with the outer scale of turbulence from ~10% (for L_{0} = 10 m) to 90% (for L_{0} = 60 m); for L_{0} = 80 m, the transmitted radiation intensity is virtually completely determined by the contribution of multiple scattering. When the width of the source directivity pattern (2φ) increases from 10 to 50°, the intensity of transmitted acoustic radiation decreases by 96%. Based on the results of statistical simulation, analytical dependences of the transmitted radiation intensity on the sound source divergence angle are suggested for typical sodar frequencies.

Original language | English |
---|---|

Pages (from-to) | 1264-1270 |

Number of pages | 7 |

Journal | Russian Physics Journal |

Volume | 52 |

Issue number | 12 |

DOIs | |

Publication status | Published - 1 Dec 2009 |

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### Keywords

- Acoustic source divergence angle
- Monte Carlo method
- Sound propagation in the atmosphere

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Russian Physics Journal*,

*52*(12), 1264-1270. https://doi.org/10.1007/s11182-010-9366-5

**Statistical estimates of the influence of the source divergence angle on the characteristics of acoustic radiation transmitted through the atmosphere.** / Belov, V. V.; Burkatovskaya, Yu B.; Krasnenko, N. P.; Shamanaeva, L. G.

Research output: Contribution to journal › Article

*Russian Physics Journal*, vol. 52, no. 12, pp. 1264-1270. https://doi.org/10.1007/s11182-010-9366-5

}

TY - JOUR

T1 - Statistical estimates of the influence of the source divergence angle on the characteristics of acoustic radiation transmitted through the atmosphere

AU - Belov, V. V.

AU - Burkatovskaya, Yu B.

AU - Krasnenko, N. P.

AU - Shamanaeva, L. G.

PY - 2009/12/1

Y1 - 2009/12/1

N2 - The method of statistical simulation (Monte Carlo) is used for the first time to study the influence of the angular source divergence on the characteristics of transmitted acoustic radiation with allowance for the multiple scattering contribution. Results of calculations for a point source of unit power with divergence angles φ = 5, 10, 15, 20, and 25° at frequencies F = 1, 2, 3, and 4 kHz are presented for the outer scale of turbulence L0 = 10, 15, 20, 40, 60, and 80 m. It is established that for F = 2 kHz the multiple scattering contribution to the transmitted radiation intensity increases with the outer scale of turbulence from ~10% (for L0 = 10 m) to 90% (for L0 = 60 m); for L0 = 80 m, the transmitted radiation intensity is virtually completely determined by the contribution of multiple scattering. When the width of the source directivity pattern (2φ) increases from 10 to 50°, the intensity of transmitted acoustic radiation decreases by 96%. Based on the results of statistical simulation, analytical dependences of the transmitted radiation intensity on the sound source divergence angle are suggested for typical sodar frequencies.

AB - The method of statistical simulation (Monte Carlo) is used for the first time to study the influence of the angular source divergence on the characteristics of transmitted acoustic radiation with allowance for the multiple scattering contribution. Results of calculations for a point source of unit power with divergence angles φ = 5, 10, 15, 20, and 25° at frequencies F = 1, 2, 3, and 4 kHz are presented for the outer scale of turbulence L0 = 10, 15, 20, 40, 60, and 80 m. It is established that for F = 2 kHz the multiple scattering contribution to the transmitted radiation intensity increases with the outer scale of turbulence from ~10% (for L0 = 10 m) to 90% (for L0 = 60 m); for L0 = 80 m, the transmitted radiation intensity is virtually completely determined by the contribution of multiple scattering. When the width of the source directivity pattern (2φ) increases from 10 to 50°, the intensity of transmitted acoustic radiation decreases by 96%. Based on the results of statistical simulation, analytical dependences of the transmitted radiation intensity on the sound source divergence angle are suggested for typical sodar frequencies.

KW - Acoustic source divergence angle

KW - Monte Carlo method

KW - Sound propagation in the atmosphere

UR - http://www.scopus.com/inward/record.url?scp=77953539183&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77953539183&partnerID=8YFLogxK

U2 - 10.1007/s11182-010-9366-5

DO - 10.1007/s11182-010-9366-5

M3 - Article

VL - 52

SP - 1264

EP - 1270

JO - Russian Physics Journal

JF - Russian Physics Journal

SN - 1064-8887

IS - 12

ER -