Generalization of the thermal lens model formalism to account for thermodiffusion in a single-beam Z-scan experiment: Determination of the Soret coefficient

Journal of the Optical Society of America B: Optical Physics

Volumn 20, Issue 4, 2003, Pages 713-718

  Alves, S ^a   Bourdon, A ^b   Figueiredo Neto, A M ^a  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

^b SORBONNE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION; HEATING; RAYLEIGH SCATTERING;

THERMAL LENS;

LENSES;

EID: 0037835851     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.20.000713     Document Type: Article

References (34)

1. Ch. Soret, "Sur l'état d'équilibre que prend au point de vue de sa concentration une dissolution saline primitivement homogène dont deux parties sont portées à des températures différentes," Arch. Sci. Phys. Nat. 2, 48-61 (1879).
2. Ch. Soret, "Sur l'état d'équilibre que prend au point de vue de sa concentration une dissolution saline primitivement homogène dont deux parties sont portées a des températures différentes (deuxième note)," Arch. Sci. Phys. Nat. 4, 209-213 (1880).
3. S. R. De Groot, L'Effet Soret, Diffusion Thermique dans les Phases Condensées (Noord-Hollandsche Uitgevers Maatschappij, Amsterdam, 1945).
4. S. R. De Groot and P. Mazur, Non-Equilibrium Thermodynamics (North-Holland, Amsterdam, 1962).
5. K. Wada, A. Suzuki, H. Sato, and R. Kikuchi, "Soret effect in solids," J. Phys. Chem. Solids 46, 1195-1205 (1985).
6. S. A. Akbar, M. Kaburagi, and H. Sato, "Soret effect in solids," J. Phys. Chem. Solids 48, 579-586 (1987).
7. L. Landau and E. Lifchitz, Mécanique des Fluides (Mir, Moscow, 1971).
8. C. Vidal, G. Dewel, and P. Borckmans, Au-Delà de l'équilibre (Hermann, Paris, 1994).
9. K. E. Grew, in Transport Phenomena in Fluids, H. J. M. Hanley, ed. (Marcel Dekker, New York, 1969).
10. W. Köhler, "Thermodiffusion in polymer solutions as observed by forced Rayleigh scattering," J. Chem. Phys. 98, 660-668 (1993).
11. J. Lenglet, "Generation de second harmonique et diffusion Rayleigh forcèe dans les colloïdes magnétiques," thèse de doctorat (Université Paris 7 Denis Diderot, Paris, 1996).
12. J. Lenglet, A. Bourdon, J. C. Bacri, and G. Demouchy, "Thermodiffusion in magnetic colloids evidenced and studied by forced Rayleigh scattering experiments," Phys. Rev. E 65, 031408-1-14 (2002).
13. O. Ecenarro, J. A. Madariaga, J. Navarro, C. M. Santamaria, J. A. Carrion, and J. M. Saviron, "Fickian and thermal diffusion coefficients from liquid thermogravitational columns," J. Phys.; Condens. Matter 2, 2289-2296 (1990).
14. C. A. Carter and J. M. Harris, "Comparison of models describing the thermal lens effect," Appl. Opt. 23, 476-481 (1984).
15. 2 measurements," Opt. Lett. 14, 955-957 (1989).
16. M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, and E. W. Van Stryland, "Sensitive measurement of optical nonlinearities using a single beam," IEEE J. Quantum Electron. 26, 760-769 (1990).
17. -1 stimulated Raman scattering E-T)," Appl. Phys. Lett. 5, 141-143 (1964).
18. J. P. Gordon, R. C. C. Leite, R. S. Moore, S. P. S. Porto, and J. R. Whinnery, "Long-transient effects in lasers with inserted liquid samples," J. Appl. Phys. 36, 3-8 (1965).
19. C. Hu and J. R. Whinnery, "New thermooptical measurement method and a comparison with other methods," Appl. Opt. 12, 72-79 (1973).
20. J. R. Whinnery, "Laser measurement of optical-absorption in liquids," Acc. Chem. Res. 7, 225-231 (1974).
21. F. Cuppo, A. M. Figueiredo Neto, S. Gomez, and P. Palffy-Muhoray, "Thermal-lens model compared with the Sheik-Bahae formalism in interpreting Z-scan experiments on lyotropic liquid crystals," J. Opt. Soc. Am. B 19, 1342-1348 (2002).
22. P. Palffy-Muhoray, H. J. Yuan, L. Li, and M. A. Lee, "Measurements of third order optical nonlinearities on nematic liquid crystals," Mol. Cryst. Liq. Cryst. 207, 291-305 (1991).
23. A. E. Siegman, Introduction to Lasers and Masers (McGraw-Hill, New York, 1971).
24. A. Yariv, Quantum Electronics, 3rd ed. (Wiley, New York, 1987).
25. M. Born and E. Wolf, Principles of Optics, 5th ed. (Pergamon, London, 1975).
26. H. S. Carslaw and J. C. Jaeger, Operational Methods in Applied Mathematics (Dover, London, New York, 1963).
27. Royal Society (Great Britain) Mathematical Tables Committee, Bessel Functions (University Press, Cambridge, 1950).
28. M. Abramowitz, Handbook of Mathematical Functions (Dover, New York, 1965).
29. R. E. Rosensweig, in Ferrohydrodynamics (Cambridge U. Press, Cambridge, England, 1985).
30. B. Berkovski and V. Bashtovoy, eds., Magnetic Fluids and Applications Handbook (Begell House, New York, 1994).
31. R. Massart, "Preparation of aqueous magnetic liquids in alkaline and acidic media," IEEE Trans. Magn. MAG-17, 1247-1248 (1981).
32. L. C. Oliveira and S. C. Zilio, "Single-beam time-resolved z-scan measurements of slow absorbers," Appl. Phys. Lett. 65, 2121-2123 (1994).
33. S. L. Gómez, F. L. S. Cuppo, A. M. Figueiredo Neto, T. Kosa, M. Muramatsu, and R. J. Horowicz, "Z-scan measurement of the nonlinear refractive indices of micellar lyotropic liquid crystals with and without the ferrofluid doping," Phys. Rev. E 59, 3059-3063 (1999).
34. A. Mezulis, G. Demouchy, A. Bee, D. Talbot, K. Dagan, J. C. Bacri, and A. Bourdon, "2D nanoparticle diffusion and thermodiffusion induced by an optical image in magnetic colloids," submitted to Eur. Phys. J. E.