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A new basic analysis of pulsed photoacoustic signal using the finite differences method

Published online by Cambridge University Press:  25 June 2004

N. Benamar*
Affiliation:
Département de physique, faculté des sciences de Meknès, Université Moulay Ismaïl, BP 4010, Beni M'hamed, Meknès, Morocco
E. Chatri
Affiliation:
Département de physique, faculté des sciences de Meknès, Université Moulay Ismaïl, BP 4010, Beni M'hamed, Meknès, Morocco
F. Lahjomri
Affiliation:
École Nationale des Sciences Appliquées de Tanger, Université Abdelmalek Essaâdi, route Ziaten, km 10, BP 1818, Tanger, Morocco
R. M. Leblanc
Affiliation:
Department of Chemistry, University of Miami, Cox Science Building, 1301 Memorial Drive, PO Box 249118, Miami, FL, 33124-0431, USA
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Abstract

Pulsed photoacoustic spectroscopy provides information about optical, thermal and geometrical characteristics of opaque materials. The aim of this paper is the analysis of the applicability of the finite differences method to simulate the process by which pulsed photoacoustic signal is generated by a pulsed heat source, both in time and frequency domains. The present study is extended to a two-layers absorbing system. This method is free of the limitations imposed by special cases when the analytical methods are used to resolve heat diffusion equations. This approach is analyzed through the temperature and pressure variations in the photoacoustic cell.

Keywords

Type
Research Article
Copyright
© EDP Sciences, 2004

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References

Garcia, J.A., Mandelis, A., Farahbakhsh, B., Lebowitz, C., Harris, I., Int. J. Thermophys. 20, 1587 (1999) CrossRef
Nicolaides, L., Mandelis, A., S.H. Abrams J. Biomed. Opt. 5, 31 (2000) CrossRef
Patel, C.K.N., Tam, A.C., Rev. Mod. Phys. 53, 517 (1981) CrossRef
A.C. Tam, in Proceeding of the 7th International Topical meeting, Photoacoustic and photothermal phenomena, Doorwerth, Netherlands, 1991, edited by D. Becanic (D. Becanic (Ed.), 1991), pp. 114–145
Munidasa, M., Mandelis, A., Rev. Sci. Instrum. 65, 1978 (1994) CrossRef
A. Mandelis, C. Wang, Ferroelectrics 236, 235 (2000
Rosencwaig, A., Gersho, A., J. Appl. Phys. 47, 64 (1976) CrossRef
A. Rosencwaig, in Photoacoustics and Photoacoustic spectroscopy (John Wiley & Sons, New York, 1980)
Mandelis, A., Royce, B.S.H., J. Appl. Phys. 50, 4330 (1979) CrossRef
Mandelis, A., Royce, B.S.H., J. Appl. Phys. 51, 610 (1980) CrossRef
Puccetti, G., Leblanc, R.M., J. Membrane Sci. 119, 213 (1996) CrossRef
Puccetti, G., Lahjomri, F., Leblanc, R.M., J. Photochem. Photobiol. B: Biol. 39, 110 (1997) CrossRef
Lahjomri, F., Puccetti, G., Leblanc, R., Alard, V., Denis, A., Tranchant, J.-F., J. Photochem. Photobiol. 65, 292 (1997) CrossRef
Lahjomri, F., Benamar, N., Chatri, E., Leblanc, R.M., Phys. Med. Biol. 48, 2729 (2003) CrossRef
Balageas, D.L, Krapez, J.C., Cielo, P., J. Appl. Phys. 59, 348 (1986) CrossRef
Benamar, N., Lahjomri, F., Chatri, E., Achour, E.M., Eur. Phys. J. Appl. Phys. 19, 63 (2002) CrossRef
Benamar, N., Lahjomri, F., Chatri, E., Achour, E.M., Biol. Santé 2, 156 (2002)
Mandelis, A., J. Appl. Phys. 78, 647 (1995) CrossRef
A. Mandelis Diffusion-Wave Fields: Mathematical Methods and Green Functions (Springer, New York, 2001)
Calasso, I. G., Craig, W., Diebold, G.J., Phys. Rev. Lett. 86, 3550 (2001) CrossRef
Kasai, M., Fukushima, S., Gohshi, Y., Sawada, T., Ishioka, M., Kaihara, M., J. Appl. Phys. 64, 972 (1988) CrossRef
Bodzenta, J., Bukowski, R.J., Christ, A., Pogoda, T., Int. J. Heat Mass Transfer 45, 4515 (2002) CrossRef
Chow, H.C., J. Appl. Phys. 51, 4053 (1980) CrossRef
R.E. Imhof, B. Zhang, D.J.S. Birch, Photothermal Radiometry for NDE, edited by A. Mandelis (PTR Prentice Hall, Englewood Cliffs, New Jersey, 1994)
Milner, T.E., Smithies, D.J., Goodman, D.M., Lau, A., Nelson, J.S., Appl. Opt. 35, 3379 (1996) CrossRef
Alan McDonald, F., J. Appl. Phys. 52, 381 (1981) CrossRef
Helander, P., Lundström, I., J. Appl. Phys. 51, 3841 (1980) CrossRef
Helander, P., J. Appl. Phys. 54, 3410 (1983) CrossRef
Quimby, R.S., Yen, W.M., J. Appl. Phys. 51, 4985 (1980) CrossRef
Firebaugh, S.L., Jensen, K.F., Schmidt, M.A., J. Appl. Phys. 92, 1555 (2002) CrossRef
Barakat, H.Z., Clark, J.A., J. Heat Transfer 11, 421 (1966) CrossRef
C.A.J. Fletcher, Computational Techniques for Fluid Dynamics. 1: Fundamental and General Techniques (Springer-Verlag, Berlin Heidelberg, 1991)