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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 46, Iss. 7 — Mar. 1, 2007
  • pp: 1120–1125

Finite element calculation of photoacoustic signals

Bernd Baumann, Marcus Wolff, Bernd Kost, and Hinrich Groninga  »View Author Affiliations


Applied Optics, Vol. 46, Issue 7, pp. 1120-1125 (2007)
http://dx.doi.org/10.1364/AO.46.001120


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Abstract

Aprocedure for the numerical calculation of photoacoustic signals is introduced. It is based on the finite element method and uses an expansion of the signal into acoustic eigenmodes of the measuring cell. Loss is included by the incorporation of quality factors. Surface and volume loss effects attributable to viscosity and thermal conductivity are considered. The method is verified for cylindrical cells with excellent accordance. The application to photoacoustic cells of unconventional shape yields good agreement with experimental data.

© 2007 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(120.6200) Instrumentation, measurement, and metrology : Spectrometers and spectroscopic instrumentation

History
Original Manuscript: June 22, 2006
Revised Manuscript: October 19, 2006
Manuscript Accepted: November 1, 2006
Published: February 12, 2007

Citation
Bernd Baumann, Marcus Wolff, Bernd Kost, and Hinrich Groninga, "Finite element calculation of photoacoustic signals," Appl. Opt. 46, 1120-1125 (2007)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-46-7-1120


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References

  1. W. Demtröder, Laser Spectroscopy (Springer-Verlag, 2002).
  2. K. H. Michaelian, Photoacoustic Infrared Spectroscopy (Wiley-Interscience, 2003). [CrossRef]
  3. B. Baumann, B. Kost, H. G. Groninga, and M. Wolff, "Eigenmode analysis of photoacoustic sensors via finite element method," Rev. Sci. Instrum. 77, 044901 (2006). [CrossRef]
  4. M. Wolff, H. G. Groninga, B. Baumann, B. Kost, and H. Harde, "Resonance investigations using PAS and FEM," Acta Acust. 91, Suppl. 1, 99, 1477-1481 (2005).
  5. K. J. Bathe, Finite Element Procedures (Prentice Hall, 1995).
  6. COMSOL homepage, http://www.comsol.com.
  7. L. B. Kreuzer, "The physics of signal generation and detection," in Optoacoustic Spectroscopy and Detection, Y.-H.Pao, ed. (Academic, 1977), pp. 1-25.
  8. P. M. Morse and K. U. Ingard, Theoretical Acoustics (McGraw-Hill, 1968).
  9. S. Temkin, Elements of Acoustics (Wiley, 1981).
  10. VDI-Wärmeatlas, 9th ed. (Springer-Verlag, 2002).

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