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Equivalent source method based on mirror source method using plane wave expansion in shallow water waveguide
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Yi-shu CHEN1, Bo-xuan SHI2a, 2b, 3, Chao ZHANG2a, 2b, 3, De-jiang SHANG2a, 2b, 3
Journal of Ship Mechanics | 2025, 29(5) : 840 - 848
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Journal of Ship Mechanics | 2025, 29(5): 840-848
Hydro/Structural Acoustics
Equivalent source method based on mirror source method using plane wave expansion in shallow water waveguide
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Yi-shu CHEN1, Bo-xuan SHI2a, 2b, 3, Chao ZHANG2a, 2b, 3, De-jiang SHANG2a, 2b, 3
Affiliations
  • 1.Hangzhou Applied Acoustics Research Institute, Hangzhou 310012, China
  • 2a.National Key Laboratory of Underwater Acoustic Technology, Harbin Engineering University, Harbin 150001, China
  • 2b.College of Underwater Acoustic Engineering, Harbin Engineering University, Harbin 150001, China
  • 3.Key Laboratory of Marine Information Acquisition and Security (Harbin Engineering University), Ministry of Industry and Information Technology, Harbin 150001, China
Published: 2025-05-20 doi: 10.3969/j.issn.1007-7294.2025.05.015
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An equivalent source method based on plane wave expansion and mirror imaging is proposed for predicting radiation from elastic structures in shallow water waveguide. This method uses the equivalent source framework and represents the Green’s function with plane wave expansion for virtual source intensities and far-field acoustic calculations. For seabed reflection coefficients dependent on incident angles, the Green’s function decomposes the spherical wave from a point source into plane waves, facilitating accurate reflection calculations on non-ideal boundaries. Comparisons with other Green’s function validate the computational accuracy. Numerical simulations of an elastic cylindrical shell under various excitation frequencies in shallow water waveguide confirm the method’s accuracy in sound field reconstruction.

shallow water waveguide  /  sound field prediction  /  mirror source method using plane wave expansion  /  equivalent source method
Yi-shu CHEN, Bo-xuan SHI, Chao ZHANG, De-jiang SHANG. Equivalent source method based on mirror source method using plane wave expansion in shallow water waveguide[J]. Journal of Ship Mechanics, 2025 , 29 (5) : 840 -848 . DOI: 10.3969/j.issn.1007-7294.2025.05.015
Year 2025 volume 29 Issue 5
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Article Info
doi: 10.3969/j.issn.1007-7294.2025.05.015
  • Receive Date:2024-11-14
  • Online Date:2026-03-24
  • Published:2025-05-20
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  • Received:2024-11-14
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Affiliations
    1.Hangzhou Applied Acoustics Research Institute, Hangzhou 310012, China
    2a.National Key Laboratory of Underwater Acoustic Technology, Harbin Engineering University, Harbin 150001, China
    2b.College of Underwater Acoustic Engineering, Harbin Engineering University, Harbin 150001, China
    3.Key Laboratory of Marine Information Acquisition and Security (Harbin Engineering University), Ministry of Industry and Information Technology, Harbin 150001, China
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表12种不同金属材料的力学参数

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Number of
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Number of
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鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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