Application of the Laplace transform in time-domain optical spectroscopy and imaging

André Liemert; Alwin Kienle

doi:10.1117/1.JBO.20.11.110502

18 November 2015 Application of the Laplace transform in time-domain optical spectroscopy and imaging

André Liemert, Alwin Kienle

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Journal of Biomedical Optics, Vol. 20, Issue 11, 110502 (November 2015). https://doi.org/10.1117/1.JBO.20.11.110502

In this paper, we consider the Laplace transform (LT) for solving different time-dependent photon migration problems occurring in the biomedical optics field. It is shown that the LT exhibits important advantages in view of accuracy, efficiency, and numerical stability compared to the classical approach that uses the Fourier transform (FT) to obtain time-dependent quan-tities from data in the frequency domain. For typical applications in tissue spectroscopy or imaging, a speed-up of up to several orders of magnitude can be accomplished by applying the LT for both numerical or analytical solution approaches.

CC BY: © The Authors. Published by SPIE under a Creative Commons Attribution 4.0 Unported License. Distribution or reproduction of this work in whole or in part requires full attribution of the original publication, including its DOI.

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André Liemert and Alwin Kienle "Application of the Laplace transform in time-domain optical spectroscopy and imaging," Journal of Biomedical Optics 20(11), 110502 (18 November 2015). https://doi.org/10.1117/1.JBO.20.11.110502

Published: 18 November 2015

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