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Three-dimensional thermoacoustic theory for stratified media in a cylindrical photoacoustic cell

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Czechoslovak Journal of Physics B Aims and scope

Abstract

We present a method for the computation of temperature distribution in samples with a stratified structure provided the layers are perpendicular to the axis of a cylindrical photoacoustic cell and the interfaces of layers are motionless. We have modified the so-called matrix method which is frequently used in geophysics for computations of wave fields in stratified media. This method enables us to express explicitly the temperature distribution in the form of multiplication and addition of matrices which are made of constants characterizing physical properties of the medium. We have demonstrated numerically the utilization of this matrix method on two simple examples: the absorption saturation of one layer with a variable coefficient of absorption and the interference of two heat waves from different layers.

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Authors and Affiliations

  1. Institute of Geophysics, Faculty of Mathematics and Physics, Charles University, V Holešovičkách 2, 180 00, Praha 8, Czechoslovakia

    C. Matyska

  2. Central Library, Faculty of Mathematics and Physics, Charles University, Ke Karlovu 3, 121 16, Praha 2, Czechoslovakia

    E. Matysková

  3. Department of Chemical Physics, Faculty of Mathematics and Physics, Charles University, Ke Karlovu 3, 121 16, Praha 2, Czechoslovakia

    P. Sladký

Authors
  1. C. Matyska
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  2. E. Matysková
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  3. P. Sladký
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Matyska, C., Matysková, E. & Sladký, P. Three-dimensional thermoacoustic theory for stratified media in a cylindrical photoacoustic cell. Czech J Phys 35, 433–441 (1985). https://doi.org/10.1007/BF01604488

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  • DOI: https://doi.org/10.1007/BF01604488

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