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Mathematical Modeling in Biomedical Imaging II pp 85–130Cite as

Attenuation Models in Photoacoustics

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Part of the book series: Lecture Notes in Mathematics ((LNMBIOS,volume 2035))

Summary

The aim of this chapter is to review attenuation models in photoacoustic imaging and discuss their causality properties. We also derive integro-differential equations which the attenuated waves are satisfying and highlight the ill–conditionness of the inverse problem for calculating the unattenuated wave from the attenuated one, which has been discussed in Chap. 3.

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Acknowledgements

This work has been supported by the Austrian Science Fund (FWF) within the national research network Photoacoustic Imaging in Biology and Medicine, project S10505-N20.

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Authors and Affiliations

  1. Institute of Mathematics, University of Innsbruck, Technikerstr. 21a, 6020, Innsbruck, Austria

    Richard Kowar

  2. Computational Science Center, University of Vienna, Nordbergstr. 15, 1090, Vienna, Austria

    Otmar Scherzer

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  1. Richard Kowar
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Correspondence to Otmar Scherzer .

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  1. Mathématiques et Applications, École Normale Supérieure, rue d'Ulm 45, Paris, 75005, France

    Habib Ammari

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Kowar, R., Scherzer, O. (2012). Attenuation Models in Photoacoustics. In: Ammari, H. (eds) Mathematical Modeling in Biomedical Imaging II. Lecture Notes in Mathematics(), vol 2035. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22990-9_4

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