Abstract

We present a terahertz time-domain experimental technique for the detection of scattering from porous media. The method for detection of the scattering enables one to make a decision when Fresnel or Kramers–Kronig (K-K) anal ysis can be applied for a porous medium. In this study the real refractive index of a tablet is calculated using the conventional K-K dispersion relation and also using a singly subtractive K-K relation, which are applied to the extinction coefficient obtained from the Beer–Lambert law. The advantage of the K-K analysis is that one gets estimates both for absolute refractive index and also dispersion of the porous tablet, whereas Fresnel analysis provides only the absolute value of the index.

© 2011 Optical Society of America

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References

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2010 (1)

2009 (1)

2008 (2)

Y. Ueno and K. Ajito, Anal. Sci. 24, 185 (2008).
[CrossRef] [PubMed]

H. Yasuda and I. Hosako, Jpn. J. Appl. Phys. 47, 1632(2008).
[CrossRef]

2006 (1)

2005 (1)

2001 (1)

Aaltonen, J.

Ajito, K.

Y. Ueno and K. Ajito, Anal. Sci. 24, 185 (2008).
[CrossRef] [PubMed]

Baraniuk, R. G.

Bernard, F.

Dorney, T. D.

Dudley, R. A.

Fischer, B. M.

Fletcher, J. R.

Gornov, E.

Helm, H.

Hoffman, M.

Hosako, I.

H. Yasuda and I. Hosako, Jpn. J. Appl. Phys. 47, 1632(2008).
[CrossRef]

Jepsen, P. U.

Kleine-Ostmann, T.

Koch, M.

Lucarini, V.

V. Lucarini, J. J. Saarinen, K.-E. Peiponen, and E. M. Vartiainen, Kramers-Kronig Relations in Optical Materials Research (Springer, 2005).

Mittleman, D. M.

Naftaly, M.

Peiponen, K.-E.

H. Tuononen, E. Gornov, J. A. Zeitler, J. Aaltonen, and K.-E. Peiponen, Opt. Lett. 35, 631 (2010).
[CrossRef] [PubMed]

V. Lucarini, J. J. Saarinen, K.-E. Peiponen, and E. M. Vartiainen, Kramers-Kronig Relations in Optical Materials Research (Springer, 2005).

Redo-Sanchez, A.

Rutz, F.

Saarinen, J. J.

V. Lucarini, J. J. Saarinen, K.-E. Peiponen, and E. M. Vartiainen, Kramers-Kronig Relations in Optical Materials Research (Springer, 2005).

Thomson, C.

Tian, Z.

Tuononen, H.

Ueno, Y.

Y. Ueno and K. Ajito, Anal. Sci. 24, 185 (2008).
[CrossRef] [PubMed]

Vartiainen, E. M.

V. Lucarini, J. J. Saarinen, K.-E. Peiponen, and E. M. Vartiainen, Kramers-Kronig Relations in Optical Materials Research (Springer, 2005).

Wiik, R.

Yasuda, H.

H. Yasuda and I. Hosako, Jpn. J. Appl. Phys. 47, 1632(2008).
[CrossRef]

Zeitler, J. A.

Zhang, H.-C.

Zhong, H.

Anal. Sci. (1)

Y. Ueno and K. Ajito, Anal. Sci. 24, 185 (2008).
[CrossRef] [PubMed]

J. Opt. Soc. Am. A (1)

J. Opt. Soc. Am. B (1)

Jpn. J. Appl. Phys. (1)

H. Yasuda and I. Hosako, Jpn. J. Appl. Phys. 47, 1632(2008).
[CrossRef]

Opt. Express (2)

Opt. Lett. (1)

Other (2)

G.Gruner, ed., Millimeter and Submillimeter Spectroscopy of Solids (Springer, 1998).
[CrossRef]

V. Lucarini, J. J. Saarinen, K.-E. Peiponen, and E. M. Vartiainen, Kramers-Kronig Relations in Optical Materials Research (Springer, 2005).

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Figures (2)

Fig. 1
Fig. 1

Transmittance of tablet with (a) lowest and (b) highest porosity. Inset (a), measurement geometries (distance between emitter and detector was 5 cm ). Inset (b), porosity of tablets versus refractive index.

Fig. 2
Fig. 2

(a) Extinction coefficient and (b) refractive index change (dispersion) and absolute refractive index of the tablet having the lowest porosity.

Equations (2)

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Δ n ( ω ) = 2 π P 0 ω k ( ω ) d ω ω 2 ω 2 ,
n ( ω ) n ( ω ) = 2 ( ω 2 ω 2 ) π P 0 ω k ( ω ) d ω ( ω 2 ω 2 ) ( ω 2 ω 2 ) ,

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