Status of Implementation of the Inverse Born Sizing Algorithm

Thompson, R. B.

doi:10.1007/978-1-4615-9421-5_68

Cited by 13 publications

(5 citation statements)

References 9 publications

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“…[65] and Hudson and Heritage [80], the result of Born approximation can be interpreted as the leading term of the Neumann-Born series [83j. This approximation has been assessed by comparisons of its predictions with exact and experimental results [84][85][86]. After extensive analysis, it was found that this approximation becomes progressively bad as changes in the material properties become large or the wave length become small (compared with the characteristic length of the scatterer).…”

Section: Literature Reviewmentioning

confidence: 99%

Elastodynamic ray theory and asymptotic methods for direct and inverse scattering problems

Chen

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for the inspiration that I received from reading their publications. I wish to thank my officemate, Mr. C. P. Chiou as well for his continued interest and helpful discussions. To my parents, I am deeply grateful for their continuous encouragement and support in the past few years. Finally, a special word of thanks goes to my wife who has over the years provided me spiritual and logistic support. To her, I am truely indebted.

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Section: Literature Reviewmentioning

confidence: 99%

Elastodynamic ray theory and asymptotic methods for direct and inverse scattering problems

Chen

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“…However, when equation ( 20) is applied, using experimentally measured values of the scattering amplitude for an unknown flaw, the scattering amplitude may be complex so that this step guarantees a real I (ν). Equation ( 20) is called the 1D inverse Born approximation [9][10][11][12]. One can also implement this same approach in the time domain.…”

Section: Sizing With the Born Approximationmentioning

confidence: 99%

Ultrasonic flaw sizing inverse problems

2002

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A review is given of model-based methods that have been used to solve ultrasonic nondestructive evaluation (NDE) flaw sizing problems. The focus of the review is on those challenging NDE flaw sizing problems where the flaw is small and the amount of scattering data that can be collected is limited. Various approaches for solving these inverse problems are described, with emphasis on methods based on the Born and Kirchhoff approximations. We discuss the sensitivity of these methods to noise, bandwidth limitations, and other issues that are important to the success or failure of these inverse approaches. As an alternative to these existing methods we discuss an approach based on the early-time flaw response. Finally, we describe some open issues that prevent a number of these methods from routinely being used in practice and describe some potential solutions.

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“…Unfortunately, most current methods to determine this quantity suffer frorh the so-called "zero-of-time" problem [53,54,55]. Even though efforts still continue to be undertaken to solve this problem [56], no entirely satisfactory and general solution is currently available.…”

Section: Ultrasonic Flaw Sizingmentioning

confidence: 99%

Ultrasonic flaw classification and sizing

1996

NDT & E International

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Status of Implementation of the Inverse Born Sizing Algorithm

Cited by 13 publications

References 9 publications

Elastodynamic ray theory and asymptotic methods for direct and inverse scattering problems

Elastodynamic ray theory and asymptotic methods for direct and inverse scattering problems

Ultrasonic flaw sizing inverse problems

Ultrasonic flaw classification and sizing

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