A filtered backpropagation algorithm for diffraction tomography

Devaney, Anthony J.

doi:10.1016/0161-7346(82)90017-7

Cited by 243 publications

(223 citation statements)

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“…This approach belongs to the growing number of sequential digital imaging systems that combine sophisticated experimental set-ups with advanced numerical reconstructions (including, for example, a priori information on the sample). Digital imaging is mandatory in the microwave [78,86], X-ray [87] or acoustic and seismic [63,88] domains where lenses able to form analogically the image of a sample do not exist. It is also appearing in the active domain of fluorescence microscopy where recording multiple images of the same sample under various illuminations and using numerical reconstruction procedures permits to significantly improve the resolution [89][90][91][92].…”

Section: Resultsmentioning

confidence: 99%

“…This assumption is particularly valid when the objects are weakly scattering (single scattering) and usually holds when biological samples are considered. Under the Born approximation [5,10,11,26,27,63] or under the Rytov approximation [34,64], it suffices to perform an inverse Fourier transform of the diffracted far-field to retrieve the permittivity map of the object. This widely used reconstruction procedure can be done in quasi real-time.…”

Section: Inversion Algorithms Most Inversion Algorithms Used In the Fmentioning

confidence: 99%

See 1 more Smart Citation

Tomographic diffractive microscopy: basics, techniques and perspectives

Haeberlé

Belkebir

Giovaninni

et al. 2010

Journal of Modern Optics

160

143

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Section: Resultsmentioning

confidence: 99%

Section: Inversion Algorithms Most Inversion Algorithms Used In the Fmentioning

confidence: 99%

Tomographic diffractive microscopy: basics, techniques and perspectives

Haeberlé

Belkebir

Giovaninni

et al. 2010

Journal of Modern Optics

160

143

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“…This kind of phase-change accumulation can be easily handled by the Rytov transformation. This is why the Rytov approximation has decidedly better performance than the Born approximation for forescattering and has been widely used for long distance propagation with only forescattering or small-angle scattering involved, such as the line-of-sight propagation of optical or radio waves (CHERNOV, 1960;TATARSKII, 1971;ISHIMARU, 1978), transmission fluctuations of seismic waves at arrays (AKI, 1973;FLATTE´and WU, 1988;WU and FLATTE´, 1990), diffraction tomography (DEVANEY, 1982(DEVANEY, , 1984WU and TOKSO¨Z, 1987), and seismic imaging using one-way propagators (HUANG et al, 1999a,b).…”

Section: Born Approximationmentioning

confidence: 99%

“…Together with the parabolic approximation, they formed a set of analytical tools widely used for the forward propagation and scattering problems, such as the line-of-sight propagation problem (e.g., FLATTE´, 1979;ISHIMARU, 1978;TATARSKII, 1971). The Rytov approximation is also used in modeling transmission fluctuation for seismic array data (WU and FLATTE´, 1990), diffraction tomography (DEVANEY, 1982(DEVANEY, , 1984WU and TOKSO¨Z, 1987). TATARSKII (1971, Ch.…”

Section: Rytov Approximationmentioning

confidence: 99%

Wave Propagation, Scattering and Imaging Using Dual-domain One-way and One-return Propagators

Wu¹

2003

Pure appl. geophys.

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Dual-domain one-way propagators implement wave propagation in heterogeneous media in mixed domains (space-wavenumber domains). One-way propagators neglect wave reverberations between heterogeneities but correctly handle the forward multiple-scattering including focusing/defocusing, diffraction, refraction and interference of waves. The algorithm shuttles between space-domain and wavenumber-domain using FFT, and the operations in the two domains are self-adaptive to the complexity of the media. The method makes the best use of the operations in each domain, resulting in efficient and accurate propagators. Due to recent progress, new versions of dual-domain methods overcame some limitations of the classical dual-domain methods (phase-screen or split-step Fourier methods) and can propagate large-angle waves quite accurately in media with strong velocity contrasts. These methods can deliver superior image quality (high resolution/high fidelity) for complex subsurface structures. One-way and one-return (De Wolf approximation) propagators can be also applied to wave-field modeling and simulations for some geophysical problems. In the article, a historical review and theoretical analysis of the Born, Rytov, and De Wolf approximations are given. A review on classical phase-screen or split-step Fourier methods is also given, followed by a summary and analysis of the new dual-domain propagators. The applications of the new propagators to seismic imaging and modeling are reviewed with several examples. For seismic imaging, the advantages and limitations of the traditional Kirchhoff migration and time-space domain finite-difference migration, when applied to 3-D complicated structures, are first analyzed. Then the special features, and applications of the new dual-domain methods are presented. Three versions of GSP (generalized screen propagators), the hybrid pseudo-screen, the wide-angle Pade´-screen, and the higherorder generalized screen propagators are discussed. Recent progress also makes it possible to use the dualdomain propagators for modeling elastic reflections for complex structures and long-range propagations of crustal guided waves. Examples of 2-D and 3-D imaging and modeling using GSP methods are given.

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“…Although advanced algorithms have been developed for nonlinear inversion of both contrasts [2], it is still common practice to ignore the mass-density contrast and to rewrite the result as a nonlinear equation with a wave-speed contrast, which can be linearized under the Born approximation. Under this approximation, the wave-speed contrast can be retrieved directly from the data, for instance by filtered backpropagation as is routinely done in ultrasound diffraction tomography [3]. This methodology has found successful applications in ultrasonic breast imaging, given that both transmissions and reflections are available [4].…”

Section: Introductionmentioning

confidence: 99%

Acoustic interface contrast imaging

et al. 2018

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In acoustic reflectivity imaging, we infer the internal reflectivity of an unknown object from reflected waveforms. A common assumption is that the mass density is constant and that the recorded pressure field is related to a volume contrast in the wave speed by a nonlinear volume-integral representation. This representation is typically linearized under the Born approximation and solved for the volume contrast by iterative inversion. We propose an alternative methodology, which we refer to as interface contrast imaging. In our derivation, we assume a medium with constant wave speed, which contains discontinuities of the acoustic impedance at a collection of interfaces between piecewise-homogeneous subdomains. A linear relationship is established between the recorded data and the gradient of the acoustic impedance at the interfaces, which we refer to as an interface contrast. This contrast can be solved for by iterative inversion. With this procedure, acoustic interfaces can be delineated with superior resolution compared to volume contrast imaging. Since the convergence speed is relatively fast and a reasonable image can already be obtained after a single iteration, real-time applications seem feasible. If necessary, the acoustic impedance can also be imaged by integrating the retrieved reflectivity contrast over space.

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A filtered backpropagation algorithm for diffraction tomography

Cited by 243 publications

References 0 publications

Tomographic diffractive microscopy: basics, techniques and perspectives

Tomographic diffractive microscopy: basics, techniques and perspectives

Wave Propagation, Scattering and Imaging Using Dual-domain One-way and One-return Propagators

Acoustic interface contrast imaging

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