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Finite Element Simulation of Photoacoustic Pressure in a Resonant Photoacoustic Cell Using Lossy Boundary Conditions

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Abstract

The finite-element method (FEM) is used to simulate the photoacoustic signal in a cylindrical resonant photoacoustic cell. Simulations include loss effects near the cell walls that appear in the boundary conditions for the inhomogeneous Helmholtz equation governing the acoustic pressure. Reasonably good agreement is obtained between theoretical results and experimental data. However, it was anticipated that loss mechanisms other than viscous and thermal boundary losses occur and should be included. Nevertheless, the feasibility to use FEM together with the derived boundary conditions to simulate the photoacoustic signal was demonstrated and good agreement with experiments for the actual resonance frequency and the quality factor of the cell was obtained despite its complicated geometry.

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References

  1. Kamm R.D.: J. Appl. Phys. 47, 3550 (1976)

    Article  ADS  Google Scholar 

  2. Mehl J.B., Moldover M.R.: J. Chem. Phys. 74, 4062 (1981)

    Article  ADS  Google Scholar 

  3. Miklos A., Hess P., Boszocki Z.: Rev. Sci. Instrum. 72, 1937 (2001)

    Article  ADS  Google Scholar 

  4. Morse P.M., Ingard K.U.: Theoretical Acoustics. Princeton University Press, Princeton, NJ (1986)

    Google Scholar 

  5. Rey J.M., Marinov D., Vogler D.E., Sigrist M.W.: Appl. Phys. B 80, 261 (2005)

    Article  ADS  Google Scholar 

  6. Zeninari V., Kapitanov V.A., Courtois D., Ponomarev Yu.N.: Infrared Phys. Technol. 40, 1 (1999)

    Article  ADS  Google Scholar 

  7. Lopes N., Frese R., Fink T., Andresen M., Rubahn H.-G.: J. Phys.: Conf. Ser. 214, 012059 (2010)

    Article  ADS  Google Scholar 

  8. Comsol Multiphysics® 3.5a, 2D PDE-mode (coefficient type), Element Type: Quadratic Lagrange (2008)

  9. Kinsler L.E., Frey A.R., Coppens A.B., Sanders J.V.: Fundamentals of Acoustics. Wiley & Sons Inc., Hoboken, NJ (1999)

    Google Scholar 

  10. Baumann B., Kost B., Groninga H., Wolff M.: Rev. Sci. Instrum. 77, 044901 (2006)

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Mads Clausen Institute, University of Southern Denmark, Alsion 2, 6400, Sønderborg, Denmark

    L. Duggen, M. Willatzen & H.-G. Rubahn

  2. PAJ Systemteknik, Grundtvigs Allé 163, 6400, Sønderborg, Denmark

    N. Lopes

  3. NanoSYD, University of Southern Denmark, Alsion 2, 6400, Sønderborg, Denmark

    H.-G. Rubahn

Authors
  1. L. Duggen
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  2. N. Lopes
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  3. M. Willatzen
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  4. H.-G. Rubahn
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Correspondence to L. Duggen.

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Duggen, L., Lopes, N., Willatzen, M. et al. Finite Element Simulation of Photoacoustic Pressure in a Resonant Photoacoustic Cell Using Lossy Boundary Conditions. Int J Thermophys 32, 774–785 (2011). https://doi.org/10.1007/s10765-010-0828-3

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  • DOI: https://doi.org/10.1007/s10765-010-0828-3

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