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Attenuation Models in Photoacoustics

  • Richard Kowar
  • Otmar ScherzerEmail author
Chapter
Part of the Lecture Notes in Mathematics book series (LNM, 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.

Keywords

Green Function Attenuation Model Causality Property Holomorphic Extension Causal Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Notes

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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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Institute of MathematicsUniversity of InnsbruckInnsbruckAustria
  2. 2.Computational Science CenterUniversity of ViennaViennaAustria

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