Journal Article10.1088/0266-5611/13/5/018
Image-enhanced thermal-wave slice diffraction tomography with numerically simulated reconstructions
Lena Nicolaides,Andreas Mandelis +1 more
TL;DR: In this article, an exact, Green's-function based mathematical model that represents the behaviour of a three-dimensional thermal wave is developed and correlated with a numerical reconstruction technique for the reconstruction of thermal diffusivity cross-sectional images in materials.
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Abstract: Thermal-wave slice diffraction tomography (TSDT) is a photothermal imaging technique for non-destructive evaluation (NDE), leading to the detection of subsurface cross sectional defects in opaque solids in the very-near-surface region ( - mm). An exact, Green's-function based mathematical model that represents the behaviour of a three-dimensional thermal wave is developed and correlated with a numerical reconstruction technique. The computational technique utilizes the well known Tikhonov regularization method to invert almost singular matrices resulting from the ill-posedness of the inverse thermal-wave problem for the reconstruction of thermal diffusivity cross sectional images in materials. Numerical calculations of the inverse problem are carried out using the Born approximation and simulated reconstructions in back scattering and transmission are presented.
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Citations
Photothermal depth profiling: Analysis of reconstruction errors
TL;DR: In this paper, the accuracy of photothermal depth profiling of the thermal conductivity profile of thermally inhomogeneous materials is discussed in detail, and the reconstruction error is statistically analyzed as a function of depth and noise, for different classes of profiles.
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Highly depth-resolved chirped pulse photothermal radar for bone diagnostics.
TL;DR: A novel chirped pulse photothermal (PT) radiometric radar with improved sensitivity over the conventional harmonically modulated thermal-wave radar technique and alternative pulsed laser photothermal radiometry is introduced for the diagnosis of biological samples, especially bones with tissue and skin overlayers.
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Thermal diffusivity imaging of aerospace materials and structures
TL;DR: In this article, the authors used thermal diffusivity imaging for inspection and characterization of materials and structures, which enables more precise imaging of variations in the material or structure needed to track changes resulting from fatigue or aging processes.
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Boundary Element Simulation of Thermal Waves
TL;DR: In this article, the main direct, indirect and mixed integral numerical methods for a model of scattering of thermal waves by many obstacles are reviewed and discussed, and some transient problems are solved with boundary element methods using the Laplace transform and with coupled finite and boundary element schemes for non-homogeneous obstacles.
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Domain reconstruction using photothermal techniques
Ana Carpio,María-Luisa Rapún +1 more
TL;DR: A numerical method to detect objects buried in a medium by surface thermal measurements is presented and a new approach combining the use of topological derivatives and Laplace transforms is proposed.
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References
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