One‐way wave propagation methods in direct and inverse scalar wave propagation modeling

Fishman, Louis

doi:10.1029/93rs01632

Cited by 47 publications

(35 citation statements)

References 19 publications

(23 reference statements)

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“…In many applications, such as underwater acoustics and electromagnetic waves in the atmosphere, there are strong localized scatterers or targets embedded in the weakly heterogeneous background. In [13] Fishman developed a one-way propagation formulation based on wave-field decomposition and the scattering operators. The wave field is decomposed as u = u (+) + u (−) and the…”

Section: Introductionmentioning

confidence: 99%

Efficient numerical simulation for long range wave propagation

Huang

Papanicolaou

Sølna

et al. 2006

Journal of Computational Physics

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We develop an efficient algorithm for simulating wave propagation over long distances with both weak and strong scatterers. In domains with weak heterogeneities the wave field is decomposed into forward propagating and back scattered modes using two coupled parabolic equations. In the region near strong scatterers, the Helmholtz equation is used to capture the strong scattering events. The key idea in our method is to combine these two regimes using a combined domain decomposition and wave decomposition method. A transparent interface condition is derived to couple these two regions together. Numerical examples show that the simulated field is close to the field obtained using the full Helmholtz equation in the whole domain.

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Section: Introductionmentioning

confidence: 99%

Efficient numerical simulation for long range wave propagation

Huang

Papanicolaou

Sølna

et al. 2006

Journal of Computational Physics

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“…The downward and upward propagating, mutually coupled, constituents of the wave field are denoted by p þ and p À , respectively. In the space-frequency domain, the formal relation between one-way (i.e., down-going and up-going) and two-way (i.e., total) wave fields is given by [24][25][26][27][28][29][30][31] …”

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confidence: 99%

Green's function retrieval from reflection data, in absence of a receiver at the virtual source position

Wapenaar

Thorbecke

Neut

et al. 2014

The Journal of the Acoustical Society of America

129

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The methodology of Green's function retrieval by cross-correlation has led to many interesting applications for passive and controlled-source acoustic measurements. In all applications, a virtual source is created at the position of a receiver. Here a method is discussed for Green's function retrieval from controlled-source reflection data, which circumvents the requirement of having an actual receiver at the position of the virtual source. The method requires, apart from the reflection data, an estimate of the direct arrival of the Green's function. A single-sided three-dimensional (3D) Marchenko equation underlies the method. This equation relates the reflection response, measured at one side of the medium, to the scattering coda of a so-called focusing function. By iteratively solving the 3D Marchenko equation, this scattering coda is retrieved from the reflection response. Once the scattering coda has been resolved, the Green's function (including all multiple scattering) can be constructed from the reflection response and the focusing function. The proposed methodology has interesting applications in acoustic imaging, properly accounting for internal multiple scattering.

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“…By a PML (H ≤ z ≤ D 1 ), the open domain can be truncated into a finite region [0, L]×[0, D 1 ], where the depth D 1 is much smaller than the range length L. Common numerical methods of wave propagation, such as the finite difference method (FDM) and the finite element method (FEM), will be very expensive and time consuming, since they lead to huge linear systems, which are not only nonsymmetric but also indefinite. The coupled mode method [10] and some approximation methods [11][12][13] based on the one-way method are popular because of their efficiency in treating such problems; however, these numerical studies are usually confined to the waveguides with flat boundaries or interfaces.…”

Section: Introductionmentioning

confidence: 99%