Analysis of pulse thermography using similarities between wave and diffusion propagation

M. Gershenson

doi:10.1117/12.2267260

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5 May 2017 Analysis of pulse thermography using similarities between wave and diffusion propagation

M. Gershenson

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Proceedings Volume 10214, Thermosense: Thermal Infrared Applications XXXIX; 1021411 (2017) https://doi.org/10.1117/12.2267260
Event: SPIE Commercial + Scientific Sensing and Imaging, 2017, Anaheim, California, United States

Abstract

Pulse thermography or thermal wave imaging are commonly used as nondestructive evaluation (NDE) method. While the technical aspect has evolve with time, theoretical interpretation is lagging. Interpretation is still using curved fitting on a log log scale. A new approach based directly on the governing differential equation is introduced. By using relationships between wave propagation and the diffusive propagation of thermal excitation, it is shown that one can transform from solutions in one type of propagation to the other. The method is based on the similarities between the Laplace transforms of the diffusion equation and the wave equation. For diffusive propagation we have the Laplace variable s to the first power, while for the wave propagation similar equations occur with s². For discrete time the transformation between the domains is performed by multiplying the temperature data vector by a matrix. The transform is local. The performance of the techniques is tested on synthetic data. The application of common back projection techniques used in the processing of wave data is also demonstrated. The combined use of the transform and back projection makes it possible to improve both depth and lateral resolution of transient thermography.

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M. Gershenson "Analysis of pulse thermography using similarities between wave and diffusion propagation", Proc. SPIE 10214, Thermosense: Thermal Infrared Applications XXXIX, 1021411 (5 May 2017); https://doi.org/10.1117/12.2267260

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