Reconstruction of Transducer Pressure Fields from Schlieren Data

  • R. Kowar
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 12)

In order to ensure safety and optimal performance of medical ultrasound transducers it is necessary to measure the acoustic pressure fields of transducers. For the estimation of such pressure fields we use light intensity data that is obtained by a Schlieren system. Schlieren data corresponds mathematically to squared x-ray tomographic data. Acoustic pressure fields attain positive and negative values, but only the square of the line integrals are provided by the Schlieren system. Therefore the signs of the line integrals are not known, and Schlieren data cannot be reduced to data of classical x-ray CT. For the numerical estimation of pressure fields we used the loping Landweber—Kaczmarz method.


Acoustic Pressure Line Integral Ultrasound Transducer Schlieren Tomography Schlieren System 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • R. Kowar
    • 1
  1. 1.Department of Computer ScienceUniversity of InnsbruckAustria

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