Abstract

We present a low-coherence technique for the measurement of concentrations in aqueous solutions. It is based on a second-order dispersion measurement using the phase of the Fourier transform of the interferogram term obtained with an unbalanced Michelson interferometer. We demonstrate this approach by concentration measurements of aqueous mixtures of NaCl and glucose solutions. Results show errors between a few percent for high concentrations, up to 31% for low concentrations. The application of such a technique in OCT might require ultrahigh depth resolution and/or other scattered photon rejection techniques.

© 2007 Optical Society of America

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References

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2006

2005

2004

2003

R. A. Leitgeb, C. K. Hitzenberger, and A. F. Fercher, Opt. Express 11, 889 (2003).
[CrossRef] [PubMed]

A. Samoc, J. Appl. Phys. 94, 6167 (2003).
[CrossRef]

S. Y. El-Zaiat, Opt. Laser Technol. 35, 55 (2003).
[CrossRef]

J. Liu, M. Bagherzadeh, A. F. Fercher, C. K. Hitzenberger, L. Schmetterer, and R. Zawadzky, Proc. SPIE 4956, 348 (2003).
[CrossRef]

1998

1996

1994

C. Sainz, P. Jourdain, R. Escalona, and J. Calatroni, Opt. Commun. 110, 381 (1994).
[CrossRef]

1990

1963

J. E. Chamberlain, J. E. Gibbs, and H. A. Gebbie, Nature 198, 874 (1963).
[CrossRef]

Appl. Opt.

J. Appl. Phys.

A. Samoc, J. Appl. Phys. 94, 6167 (2003).
[CrossRef]

J. Opt. Soc. Am. B

Nature

J. E. Chamberlain, J. E. Gibbs, and H. A. Gebbie, Nature 198, 874 (1963).
[CrossRef]

Opt. Commun.

C. Sainz, P. Jourdain, R. Escalona, and J. Calatroni, Opt. Commun. 110, 381 (1994).
[CrossRef]

Opt. Express

Opt. Laser Technol.

S. Y. El-Zaiat, Opt. Laser Technol. 35, 55 (2003).
[CrossRef]

Opt. Lett.

Proc. SPIE

J. Liu, M. Bagherzadeh, A. F. Fercher, C. K. Hitzenberger, L. Schmetterer, and R. Zawadzky, Proc. SPIE 4956, 348 (2003).
[CrossRef]

Other

K. R. Beebe, R. J. Pell, and M. B. Seasholtz, Chemometrics: A Practical Guide (Wiley, 1998).

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Figures (3)

Fig. 1
Fig. 1

Measured linear response of k ( 2 ) ( λ , c ) to concentration increment of glucose and salt in pure solutions at wavelengths of 600 nm and 800 nm . Vertical width of the graphs indicates two standard deviations ( < 0.0007 fs 2 μ m ) .

Fig. 2
Fig. 2

Spectral second-order dispersion sensitivity for glucose and salt. Vertical width of the graphs indicates two standard deviations ( < 0.0002 fs 2 μ m ) .

Fig. 3
Fig. 3

Experimental setup for interferogram recording: SC, sample cuvette; CC, compensation cuvette; PR1, photoreceiver for measurement signal; PR2, photoreceiver for calibration signal.

Tables (1)

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Table 1 Prepared and Measured Concentrations of a Glucose–Salt Mixture

Equations (4)

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Φ ( ω ) 2 d = k ( ω ) = k ( 0 ) ( ω 0 ) + k ( 1 ) ( ω 0 ) ( ω ω 0 ) + 1 2 k ( 2 ) ( ω 0 ) ( ω ω 0 ) 2 + 1 6 k ( 3 ) ( ω 0 ) ( ω ω 0 ) 3 + .
k S ( 2 ) ( λ , c ) = α S ( λ ) c + i S ( λ ) .
k A , B ( 2 ) ( λ ) = [ α A ( λ ) c A + i A ( λ ) ] + [ α B ( λ ) c B + i B ( λ ) ] .
c = ( A T A ) 1 A T ( k M ( 2 ) I ) ,

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