2008 IEEE Ultrasonics Symposium 2008
DOI: 10.1109/ultsym.2008.0288
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Dynamic focusing through arbitrary geometry interfaces

Abstract: This paper introduces the Fast Focal Law Calculator (FFLC), a Newton-Raphson based algorithm that performs such task accurately at high speed. It is especially well suited for dynamic focusing through arbitrary geometry interfaces, where other algorithms are order of magnitude slower. In spite of the high speed of the FFLC, errors are kept very small, typically within a few tens of picoseconds. Besides a short background theory, the paper compares the results of the FFLC with regard to exact solutions (for pla… Show more

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Cited by 16 publications
(5 citation statements)
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“…These are the fixed planar delay-line/tire interface inside the PAUT probe and the nonplanar tire/WAAM arbitrary contour interface on the as-built WAAM surface. The delay calculations were carried out according to the minimum ToF principle, which is also known as Fermat's principle [56]. In the case of homogeneous media, a straight line connecting an element and an image pixel best describes the path along which an ultrasonic wave generated by the element traverses to reach a specific image pixel.…”
Section: Focusing Through Multiple Mediamentioning
confidence: 99%
“…These are the fixed planar delay-line/tire interface inside the PAUT probe and the nonplanar tire/WAAM arbitrary contour interface on the as-built WAAM surface. The delay calculations were carried out according to the minimum ToF principle, which is also known as Fermat's principle [56]. In the case of homogeneous media, a straight line connecting an element and an image pixel best describes the path along which an ultrasonic wave generated by the element traverses to reach a specific image pixel.…”
Section: Focusing Through Multiple Mediamentioning
confidence: 99%
“…The number of ToF calculations is significantly reduced in this case and an approximate solution of suitable accuracy can be obtained through an interpolating polynomial. These calculations are particularly suited to GP-GPU processors [4][5][6] and the detail of the procedure will be published in depth in a future journal paper.…”
Section: Background Of Cuemapmentioning
confidence: 99%
“…Ultrasonic Non-Destructive Evaluation (NDE) using Full Matrix Capture (FMC) and Total Focusing Method (TFM) is used for high resolution imaging because every pixel is in optimal focus [4]. A further benefit when used for in-process AM inspection is that the beamforming is implemented as a post-processing operation [5], which allows adaptive compensation (ATFM) for unknown and irregular interfaces [6,7,8], addressing the remaining challenge.…”
Section: Introductionmentioning
confidence: 99%