Abstract

We present a novel method for dynamical measurement of the ternary diffusion by using digital holographic interferometry based on wavelength and angular multiplexing techniques. Two laser beams with different wavelengths (λ1=532nm and λ2=473nm) are used for the ternary diffusion measurement, and they are adjusted to make corresponding interference fringes in orthogonal directions on the CCD target. The orthogonal splitting of the fringes enables the spatial frequencies of each wavelength to be filtered separately in the Fourier spectrum of the hologram. Finally, they are reconstructed to obtain the molar concentration. This method is also suitable for two-phase diffusion measurement.

© 2012 Optical Society of America

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2010

S. Rehfeldt and J. Stichlmair, Fluid Phase Equilib. 290, 1 (2010).
[CrossRef]

A. C. F. Ribeiro, A. C. G. Santos, V. M. M. Lobo, A. J. F. N. Sobral, A. M. T. D. P. V. Cabral, and M. A. Esteso, J. Chem. Thermodyn. 42, 886 (2010).
[CrossRef]

B. Gopalan and J. Katz, Phys. Rev. Lett. 104, 054501(2010).
[CrossRef]

J. L. Zhao, X. B. Yan, W. W. Sun, and J. L. Di, Opt. Lett. 35, 3519 (2010).
[CrossRef]

2009

W. W. Sun, J. L. Zhao, J. L. Di, Q. Wang, and L. Wang, Opt. Express 17, 20342 (2009).
[CrossRef]

G. Sheoran, A. Anand, and C. Shakher, Rev. Sci. Instrum. 80, 053106 (2009).
[CrossRef]

A. Bardow, E. Kriesten, M. A. Voda, F. Casanova, B. Blumich, and W. Marquardt, Fluid Phase Equilibria 278, 27 (2009).
[CrossRef]

2007

2006

A. Anand, V. K. Chhaniwal, and C. S. Narayanamurthy, Appl. Opt. 45, 904 (2006).
[CrossRef]

A. Bardow, V. Goke, H. Koß, and W. Marquardt, AIChE J. 52, 4004 (2006).
[CrossRef]

2005

Z. Q. Ren, W. Y. Fei, and H. Bart, Tsinghua Sci. Tech. 10, 523 (2005).

Anand, A.

G. Sheoran, A. Anand, and C. Shakher, Rev. Sci. Instrum. 80, 053106 (2009).
[CrossRef]

A. Anand, V. K. Chhaniwal, and C. S. Narayanamurthy, Appl. Opt. 45, 904 (2006).
[CrossRef]

Bardow, A.

A. Bardow, E. Kriesten, M. A. Voda, F. Casanova, B. Blumich, and W. Marquardt, Fluid Phase Equilibria 278, 27 (2009).
[CrossRef]

A. Bardow, V. Goke, H. Koß, and W. Marquardt, AIChE J. 52, 4004 (2006).
[CrossRef]

Bart, H.

Z. Q. Ren, W. Y. Fei, and H. Bart, Tsinghua Sci. Tech. 10, 523 (2005).

Blumich, B.

A. Bardow, E. Kriesten, M. A. Voda, F. Casanova, B. Blumich, and W. Marquardt, Fluid Phase Equilibria 278, 27 (2009).
[CrossRef]

Cabral, A. M. T. D. P. V.

A. C. F. Ribeiro, A. C. G. Santos, V. M. M. Lobo, A. J. F. N. Sobral, A. M. T. D. P. V. Cabral, and M. A. Esteso, J. Chem. Thermodyn. 42, 886 (2010).
[CrossRef]

Casanova, F.

A. Bardow, E. Kriesten, M. A. Voda, F. Casanova, B. Blumich, and W. Marquardt, Fluid Phase Equilibria 278, 27 (2009).
[CrossRef]

Charriere, F.

Chhaniwal, V. K.

Colomb, T.

Cuche, E.

Cussler, E. L.

E. L. Cussler, in Diffusion Mass Transfer in Fluid Systems (Academic, 1997), pp. 118–129.

Depeursinge, C.

Di, J. L.

Emery, Y.

Esteso, M. A.

A. C. F. Ribeiro, A. C. G. Santos, V. M. M. Lobo, A. J. F. N. Sobral, A. M. T. D. P. V. Cabral, and M. A. Esteso, J. Chem. Thermodyn. 42, 886 (2010).
[CrossRef]

Fei, W. Y.

Z. Q. Ren, W. Y. Fei, and H. Bart, Tsinghua Sci. Tech. 10, 523 (2005).

Goke, V.

A. Bardow, V. Goke, H. Koß, and W. Marquardt, AIChE J. 52, 4004 (2006).
[CrossRef]

Gopalan, B.

B. Gopalan and J. Katz, Phys. Rev. Lett. 104, 054501(2010).
[CrossRef]

Katz, J.

B. Gopalan and J. Katz, Phys. Rev. Lett. 104, 054501(2010).
[CrossRef]

Koß, H.

A. Bardow, V. Goke, H. Koß, and W. Marquardt, AIChE J. 52, 4004 (2006).
[CrossRef]

Kriesten, E.

A. Bardow, E. Kriesten, M. A. Voda, F. Casanova, B. Blumich, and W. Marquardt, Fluid Phase Equilibria 278, 27 (2009).
[CrossRef]

Kuhn, J.

Lobo, V. M. M.

A. C. F. Ribeiro, A. C. G. Santos, V. M. M. Lobo, A. J. F. N. Sobral, A. M. T. D. P. V. Cabral, and M. A. Esteso, J. Chem. Thermodyn. 42, 886 (2010).
[CrossRef]

Marquardt, W.

A. Bardow, E. Kriesten, M. A. Voda, F. Casanova, B. Blumich, and W. Marquardt, Fluid Phase Equilibria 278, 27 (2009).
[CrossRef]

A. Bardow, V. Goke, H. Koß, and W. Marquardt, AIChE J. 52, 4004 (2006).
[CrossRef]

Marquet, P.

Montfort, F.

Narayanamurthy, C. S.

Rehfeldt, S.

S. Rehfeldt and J. Stichlmair, Fluid Phase Equilib. 290, 1 (2010).
[CrossRef]

Ren, Z. Q.

Z. Q. Ren, W. Y. Fei, and H. Bart, Tsinghua Sci. Tech. 10, 523 (2005).

Ribeiro, A. C. F.

A. C. F. Ribeiro, A. C. G. Santos, V. M. M. Lobo, A. J. F. N. Sobral, A. M. T. D. P. V. Cabral, and M. A. Esteso, J. Chem. Thermodyn. 42, 886 (2010).
[CrossRef]

Santos, A. C. G.

A. C. F. Ribeiro, A. C. G. Santos, V. M. M. Lobo, A. J. F. N. Sobral, A. M. T. D. P. V. Cabral, and M. A. Esteso, J. Chem. Thermodyn. 42, 886 (2010).
[CrossRef]

Shakher, C.

G. Sheoran, A. Anand, and C. Shakher, Rev. Sci. Instrum. 80, 053106 (2009).
[CrossRef]

Sheoran, G.

G. Sheoran, A. Anand, and C. Shakher, Rev. Sci. Instrum. 80, 053106 (2009).
[CrossRef]

Sobral, A. J. F. N.

A. C. F. Ribeiro, A. C. G. Santos, V. M. M. Lobo, A. J. F. N. Sobral, A. M. T. D. P. V. Cabral, and M. A. Esteso, J. Chem. Thermodyn. 42, 886 (2010).
[CrossRef]

Stichlmair, J.

S. Rehfeldt and J. Stichlmair, Fluid Phase Equilib. 290, 1 (2010).
[CrossRef]

Sun, W. W.

Voda, M. A.

A. Bardow, E. Kriesten, M. A. Voda, F. Casanova, B. Blumich, and W. Marquardt, Fluid Phase Equilibria 278, 27 (2009).
[CrossRef]

Wang, L.

Wang, Q.

Yan, X. B.

Zhao, J. L.

AIChE J.

A. Bardow, V. Goke, H. Koß, and W. Marquardt, AIChE J. 52, 4004 (2006).
[CrossRef]

Appl. Opt.

Fluid Phase Equilib.

S. Rehfeldt and J. Stichlmair, Fluid Phase Equilib. 290, 1 (2010).
[CrossRef]

Fluid Phase Equilibria

A. Bardow, E. Kriesten, M. A. Voda, F. Casanova, B. Blumich, and W. Marquardt, Fluid Phase Equilibria 278, 27 (2009).
[CrossRef]

J. Chem. Thermodyn.

A. C. F. Ribeiro, A. C. G. Santos, V. M. M. Lobo, A. J. F. N. Sobral, A. M. T. D. P. V. Cabral, and M. A. Esteso, J. Chem. Thermodyn. 42, 886 (2010).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev. Lett.

B. Gopalan and J. Katz, Phys. Rev. Lett. 104, 054501(2010).
[CrossRef]

Rev. Sci. Instrum.

G. Sheoran, A. Anand, and C. Shakher, Rev. Sci. Instrum. 80, 053106 (2009).
[CrossRef]

Tsinghua Sci. Tech.

Z. Q. Ren, W. Y. Fei, and H. Bart, Tsinghua Sci. Tech. 10, 523 (2005).

Other

E. L. Cussler, in Diffusion Mass Transfer in Fluid Systems (Academic, 1997), pp. 118–129.

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Figures (3)

Fig. 1.
Fig. 1.

Experimental setup for recording digital hologram of ternary diffusion.

Fig. 2.
Fig. 2.

Fourier spectrum of the digital hologram recording the diffusion field after 1 hour.

Fig. 3.
Fig. 3.

Wrapped phase maps of the ternary diffusion process after 1, 2, and 3 hours; (a), (b), and (c) λ=473nm; (d), (e), and (f) λ=532nm.

Tables (1)

Tables Icon

Table 1. Ternary Diffusion Coefficients of 1-ropanol-Water-Ethylene Glycol

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

{c1c10=[(D11σ2)(c1c10)+D12(c2c20)σ1σ2]erfz4σ1t+[(D11σ1)(c1c10)+D12(c2c20)σ2σ1]erfz4σ2t,c2c20=[D21(c1c10)+(D22σ2)(c2c20)σ1σ2]erfz4σ1t+[D21(c1c10)+(D22σ1)(c2c20)σ2σ1]erfz4σ2t,
Δϕ(x,y)=arg[O1(x,y)O2(x,y)],
nt=f(Δϕ)=n0±Δϕλ2πL,
{c1+c2+c3=1ac1+bc2=n1tcc1+dc2=n2t,

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