Publication Cover
Applicable Analysis
An International Journal
Volume 35, 1990 - Issue 1-4
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Original Articles

The propagating solutions and far-field patterns for acoustic harmonic waves in a finite depth ocean

Pages 129-151 | Received 29 Mar 1989, Published online: 02 May 2007

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Read on this site (5)

A. Lechleiter & T. Rienmüller. (2016) Time-harmonic acoustic wave scattering in an ocean with depth-dependent sound speed. Applicable Analysis 95:5, pages 978-999.
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Keji Liu, Yongzhi Xu & Jun Zou. (2013) A parallel radial bisection algorithm for inverse scattering problems. Inverse Problems in Science and Engineering 21:2, pages 197-209.
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George n. Makrakis. (1997) Asymptotic study of the elastic seadbed effects in ocean acoustics. Applicable Analysis 66:3-4, pages 357-375.
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George N. Makrakis. (1997) Parabolic approximation of nonlocal boundary conditions in ocean acoustics. Applicable Analysis 66:3-4, pages 323-332.
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Articles from other publishers (19)

Keji Liu & Dinghua Xu. (2022) Simultaneous reconstruction of sources and scatterers in a three‐dimensional stratified ocean waveguide. Mathematical Methods in the Applied Sciences.
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Keji Liu. (2019) Near-field imaging of inhomogeneities in a stratified ocean waveguide. Journal of Computational Physics 398, pages 108901.
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Xue Qin. (2018) Factorization method for inverse obstacle scattering problem in three-dimensional planar acoustic waveguides. Chinese Physics B 27:10, pages 100203.
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Keji Liu, Yongzhi Xu & Jun Zou. (2018) Direct recovery of wave-penetrable scatterers in a stratified ocean waveguide. Journal of Computational and Applied Mathematics 338, pages 239-257.
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Maryam Parvizi & Mohammad Reza Eslahchi. (2017) A numerical method based on extended Raviart-Thomas (ER-T) mixed finite element method for solving damped Boussinesq equation. Mathematical Methods in the Applied Sciences 40:16, pages 5906-5924.
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Keji Liu, Yongzhi Xu & Jun Zou. (2017) A multilevel sampling method for detecting sources in a stratified ocean waveguide. Journal of Computational and Applied Mathematics 309, pages 95-110.
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ZhiMing Chen & GuangHui Huang. (2015) Reverse time migration for reconstructing extended obstacles in planar acoustic waveguides. Science China Mathematics 58:9, pages 1811-1834.
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Keji Liu, Yongzhi Xu & Jun Zou. (2014) Imaging wave-penetrable objects in a finite depth ocean. Applied Mathematics and Computation 235, pages 364-376.
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Tilo Arens, Drossos Gintides & Armin Lechleiter. (2011) Direct and Inverse Medium Scattering in a Three-Dimensional Homogeneous Planar Waveguide. SIAM Journal on Applied Mathematics 71:3, pages 753-772.
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L. Bourgeois, C. Chambeyron & S. Kusiak. (2007) Locating an obstacle in a 3D finite depth ocean using the convex scattering support. Journal of Computational and Applied Mathematics 204:2, pages 387-399.
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Gen Nakamura & Mourad Sini. (2004) On the near field measurement for the inverse scattering problem for ocean acoustics. Inverse Problems 20:5, pages 1387-1392.
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M. Ikehata, G. N. Makrakis & G. Nakamura. (2004) Inverse boundary value problem for ocean acoustics using point sources. Mathematical Methods in the Applied Sciences 27:12, pages 1367-1384.
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Musaru Ikehata, George N. Makrakis & Gen Nakamura. 2001. Inverse Problems in Underwater Acoustics. Inverse Problems in Underwater Acoustics 149 157 .
Yongzhi Xu, Christopher Mawata & Wei Lin. (2000) Generalized dual space indicator method for underwater imaging. Inverse Problems 16:6, pages 1761-1776.
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A. G. Ramm & G. N. Makrakis. 1998. Spectral and Scattering Theory. Spectral and Scattering Theory 89 109 .
C Rozier, D Lesselier, T S Angell & R E Kleinman. (1997) Shape retrieval of an obstacle immersed in shallow water from single-frequency farfields using a complete family method. Inverse Problems 13:2, pages 487-508.
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C. Rozier, D. Lesselier, T. S. Angell & R. E. Kleinman. 1997. Inverse Problems of Wave Propagation and Diffraction. Inverse Problems of Wave Propagation and Diffraction 130 142 .
R. P. Gilbert, Y. Xu & P. Thejll. (2006) An Approximation Scheme for the Three‐dimensional Scattered Wave and Its Propagating Far‐field Pattern in a Finite Depth Ocean. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 72:10, pages 459-480.
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Yongzhi Xu. (2009) An injective far-field pattern operator and inverse scattering problem in a finite depth ocean. Proceedings of the Edinburgh Mathematical Society 34:2, pages 295-311.
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