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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  1. A. G. Van Engen, S. A. Diddams, and T. S. Clement, Appl. Opt. 37, 5679 (1998).
    [Crossref]
  2. A. Samoc, J. Appl. Phys. 94, 6167 (2003).
    [Crossref]
  3. S. Y. El-Zaiat, Opt. Laser Technol. 35, 55 (2003).
    [Crossref]
  4. J. Liu, M. Bagherzadeh, A. F. Fercher, C. K. Hitzenberger, L. Schmetterer, and R. Zawadzky, Proc. SPIE 4956, 348 (2003).
    [Crossref]
  5. K. V. Larin, T. Akin, R. O. Esenaliev, M. Motamedi, and T. E. Milner, Appl. Opt. 43, 3408 (2004).
    [Crossref] [PubMed]
  6. J. E. Chamberlain, J. E. Gibbs, and H. A. Gebbie, Nature 198, 874 (1963).
    [Crossref]
  7. K. Naganuma, K. Mogi, and H. Yamada, Opt. Lett. 15, 393 (1990).
    [Crossref] [PubMed]
  8. S. Diddams and J. C. Diels, J. Opt. Soc. Am. B 13, 1120 (1996).
    [Crossref]
  9. C. Sainz, P. Jourdain, R. Escalona, and J. Calatroni, Opt. Commun. 110, 381 (1994).
    [Crossref]
  10. K. R. Beebe, R. J. Pell, and M. B. Seasholtz, Chemometrics: A Practical Guide (Wiley, 1998).
  11. A. Gosteva, M. Haiml, R. Paschotta, and U. Keller, J. Opt. Soc. Am. B 22, 1868 (2005).
    [Crossref]
  12. R. A. Leitgeb, C. K. Hitzenberger, and A. F. Fercher, Opt. Express 11, 889 (2003).
    [Crossref] [PubMed]
  13. S. D. Dyer, T. Dennis, L. K. Street, S. M. Etzel, T. A. Germer, and A. Dienstfrey, Opt. Express 14, 8138 (2006).
    [Crossref] [PubMed]

2006 (1)

2005 (1)

2004 (1)

2003 (4)

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 (2)

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

A. G. Van Engen, S. A. Diddams, and T. S. Clement, Appl. Opt. 37, 5679 (1998).
[Crossref]

1996 (1)

1994 (1)

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

1990 (1)

1963 (1)

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

Akin, T.

Bagherzadeh, M.

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

Beebe, K. R.

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

Calatroni, J.

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

Chamberlain, J. E.

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

Clement, T. S.

Dennis, T.

Diddams, S.

Diddams, S. A.

Diels, J. C.

Dienstfrey, A.

Dyer, S. D.

El-Zaiat, S. Y.

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

Escalona, R.

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

Esenaliev, R. O.

Etzel, S. M.

Fercher, A. F.

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

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

Gebbie, H. A.

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

Germer, T. A.

Gibbs, J. E.

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

Gosteva, A.

Haiml, M.

Hitzenberger, C. K.

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

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

Jourdain, P.

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

Keller, U.

Larin, K. V.

Leitgeb, R. A.

Liu, J.

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

Milner, T. E.

Mogi, K.

Motamedi, M.

Naganuma, K.

Paschotta, R.

Pell, R. J.

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

Sainz, C.

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

Samoc, A.

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

Schmetterer, L.

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

Seasholtz, M. B.

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

Street, L. K.

Van Engen, A. G.

Yamada, H.

Zawadzky, R.

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

Appl. Opt. (2)

J. Appl. Phys. (1)

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

J. Opt. Soc. Am. B (2)

Nature (1)

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

Opt. Commun. (1)

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

Opt. Express (2)

Opt. Laser Technol. (1)

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

Opt. Lett. (1)

Proc. SPIE (1)

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

Other (1)

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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