OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 46, Iss. 22 — Aug. 1, 2007
  • pp: 5216–5227

Photodeflection signal formation in photothermal measurements: comparison of the complex ray theory, the ray theory, the wave theory, and experimental results

Dorota Korte Kobylińska, Roman J. Bukowski, Bogusław Burak, Jerzy Bodzenta, and Stanisław Kochowski  »View Author Affiliations


Applied Optics, Vol. 46, Issue 22, pp. 5216-5227 (2007)
http://dx.doi.org/10.1364/AO.46.005216


View Full Text Article

Enhanced HTML    Acrobat PDF (1054 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A comparison is made of three methods for modeling the interaction of a laser probe beam with the temperature field of a thermal wave. The three methods include: (1) a new method based on complex ray theory, which allows us to take into account the disturbance of the amplitude and phase of the electric field of the probe beam, (2) the ray deflection averaging theory of Aamodt and Murphy, and (3) the wave theory (WT) of Glazov and Muratikov. To carry out this comparison, it is necessary to reformulate the description of the photodeflection signal in either the WT or the ray deflection averaging theory. It is shown that the differences between calculated signals using the different theories are most pronounced when the radius of the probe beam is comparable with the length of the thermal wave in the region of their interaction. Predictions of the theories are compared with experimental results. A few parameters of the experimental setup are determined through multiparameter fitting of the theoretical curves to the experimental data. A least-squares procedure was chosen as a fitting method. The conclusion is that the calculation of the photodeflection signal in the framework of the complex ray theory is a more accurate approach than the ray deflection averaging theory or the wave one.

© 2007 Optical Society of America

OCIS Codes
(080.0080) Geometric optics : Geometric optics
(080.2710) Geometric optics : Inhomogeneous optical media
(080.2720) Geometric optics : Mathematical methods (general)
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(120.4290) Instrumentation, measurement, and metrology : Nondestructive testing

ToC Category:
Geometrical optics

History
Original Manuscript: December 1, 2006
Revised Manuscript: April 13, 2007
Manuscript Accepted: April 14, 2007
Published: July 9, 2007

Citation
Dorota Korte Kobylińska, Roman J. Bukowski, Boguslaw Burak, Jerzy Bodzenta, and Stanislaw Kochowski, "Photodeflection signal formation in photothermal measurements: comparison of the complex ray theory, the ray theory, the wave theory, and experimental results," Appl. Opt. 46, 5216-5227 (2007)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-46-22-5216


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. A. C. Boccara, D. Fournier, and J. Badoz, "Thermo-optical spectroscopy: detection by the "mirage effect,"Appl. Phys. Lett. 36, 130-132 (1980). [CrossRef]
  2. A. Salazar, A. Sanchez-Lavega, and J. Fernandez, "Theory of thermal diffusivity determination by the "mirage" technique in solids," J. Appl. Phys. 65, 4150-4156 (1989).
  3. A. Sanchez-Lavega and A. Salazar, "Thermal diffusivity measurements in opaque solids by the mirage technique in the temperature range from 300 to 1000 K," J. Appl. Phys. 76, 1462-1468 (1994). [CrossRef]
  4. P. K. Kuo, M. J. Lin, C. B. Reyes, L. D. Favro, R. L. Thomas, D. S. Kim, S. Zhang, L. J. Inglehart, D. Fournier, and A. C. Boccara, "Mirage-effect measurement of thermal diffusivity. Part I: experiment," Can. J. Phys. 64, 1165-1167 (1986). [CrossRef]
  5. M. Bertolotti, V. Dorogan, G. Liakhou, R. Li Voti, S. Paoloni, and C. Sibilia, "New photothermal deflection method for thermal diffusivity measurement of semiconductor wafers," Rev. Sci. Instrum. 68, 1521-1526 (1997). [CrossRef]
  6. J. Bodzenta and M. Pyka, "Photothermal measurement with mirage effect for investigation of LiNbO3 single crystals," J. Phys. IV 137, 259-263 (2006). [CrossRef]
  7. M. Commandr and P. Roche, "Characterization of optical coatings by photothermal deflection," Appl. Opt. 35, 5021-5034 (1996). [CrossRef]
  8. K. Plamann, D. Fournier, E. Anger, and A. Gicquel, "Photothermal examination of the heat diffusion inhomogeneity in diamond films of sub-micron thickness," Diamond Relat. Mater. 3, 752-756 (1994). [CrossRef]
  9. J. Bodzenta, B. Burak, A. Jagoda, and B. Stanczyk, "Thermal conductivity of AIN and AIN-GaN thin films deposited on Si and GaAs substrates," Diamond Relat. Mater. 14, 1169-1174 (2005). [CrossRef]
  10. M. A. Schweitzer and J. F. Power, "Optical depth profiling of thin films by impulse mirage effect spectroscopy. Part I: theory," Appl. Spectrosc. 48, 1054-1075 (1994). [CrossRef]
  11. K. A. Shailendra, K. L. Narasimhan, S. S. Rajalakshmi, S. S. Chandvankar, and B. M. Arora, "Photothermal deflection spectroscopy of heat-treated GaAs, InP, and InGaAsP alloys," Appl. Phys. Lett. 55, 2512-2513 (1989). [CrossRef]
  12. T. Gotoh, S. Nonomura, S. Hirata, and S. Nitta, "Photothermal bending spectroscopy and photothermal deflection spectroscopy of C60 thin films," Appl. Surf. Sci. 113/114, 278-281 (1997). [CrossRef]
  13. F. Lepoutre, D. Fournier, and A. C. Boccara, "Nondestructive control of weldings using the mirage detection," J. Appl. Phys. 57, 1009-1015 (1985). [CrossRef]
  14. H. G. Walther, K. Friedrich, K. Haupt, K. Muratikov, and A. Glazov, "New phase interference technique applied for sensitive photothermal microscopy," Appl. Phys. Lett. 57, 1600-1601 (1990). [CrossRef]
  15. L. C. Aamodt and J. C. Murphy, "Photothermal measurement using a localized excitation source," J. Appl. Phys. 52, 4903-4914 (1981). [CrossRef]
  16. A. L. Glazov and K. L. Muratikov, "Photodeflection and interferometric thermal wave microscopy of solids," Int. J. Optoelectron. 4, 589-597 (1989).
  17. L. C. Aamodt and J. C. Murphy, "Thermal effects in photothermal spectroscopy and photothermal imaging," J. Appl. Phys. 54, 581-591 (1983). [CrossRef]
  18. E. L. Lasalle, F. Lepoutre, and J. P. Roger, "Probe beam size effects in photothermal deflection experiments," J. Appl. Phys. 64, 1-5 (1988). [CrossRef]
  19. A. L. Glazov and K. L. Muratikov, "Photodeflection signal formation in thermal wave spectroscopy and microscopy of solids within the framework of wave optics. "Mirage" effect geometry," Opt. Commun. 84, 283-289 (1991).
  20. A. L. Glazov and K. L. Muratikov, "Calculation of the photodeflection signal in the framework of wave optics," Tech. Phys. 38, 344-352 (1993).
  21. R. J. Bukowski and D. Korte, "Perturbation calculus for eikonal application to analysis of the deflectional signal in photothermal measurements," Opt. Appl. 32, 817-828 (2002).
  22. R. J. Bukowski and D. Korte, "Influence pf probing beam focusing on photothermal signal," J. Phys. IV 109, 19-31 (2003).
  23. R. J. Bukowski and D. Korte, "The deflectional signal analysis in photothermal measurements in the frame of complex geometrical optics," Opt. Appl. 35, 77-92 (2005).
  24. D. K. Kobylinska, R. J. Bukowski, B. Burak, J. Bodzenta, and S. Kochowski, "The complex ray theory of photodeflection signal formation: comparison with the ray theory and the experimental results," J. Appl. Phys. 100, 063501 (2006). [CrossRef]
  25. R. J. Bukowski, "Complex geometrical optics application for description of Gaussian beam propagation in optically homogenous media," in Proceedings of Second National Conference "Physical Grounds on Nondestructive Investigation" (Gliwice Division of the Polish Physical Society and Institute of Physics of Silesian University of Technology, 1997), pp. 45-55 (in Polish).
  26. Ju. A. Kravtsov and Ju. I. Orlov, Geometrical Optics of the Nonhomogeneous Media (WNT, 1993) (in Polish).
  27. H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids (Oxford U. Press, 1959).
  28. A. Maitland and M. H. Dunn, Laser Physics (North-Holland, 1969).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited