Abstract

In this paper, periodic peaks in a terahertz absorption spectrum are confirmed to be induced from interference effects. Theoretically, we explained the periodic peaks and calculated the locations of them. Accordingly, a technique was suggested, with which the interference peaks in a terahertz spectrum can be eliminated and therefore a real terahertz absorption spectrum can be obtained. Experimentally, a sample, Methamphetamine, was investigated and its terahertz fingerprint was successfully extracted from its interference destruction spectrum. This technique is useful in getting samples’ terahertz fingerprint spectra, and furthermore provides a fast nondestructive testing method using a large size terahertz beam to identify materials.

© 2010 OSA

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  1. B. Fischer, M. Hoffmann, H. Helm, G. Modjesch, and P. Jepsen, “Chemical recognition in terahertz time-domain spectroscopy and imaging,” Semicond. Sci. Technol. 20(7), S246–S253 (2005).
    [CrossRef]
  2. H. Liu and X. Zhang, "Terahertz Spectroscopy for Explosive, Pharmaceutical, and Biological Sensing Applications," Terahertz Frequency Detection and Identification of Materials and Objects, 251-323.
  3. L. Duvillaret, F. Garet, and J. L. Coutaz, “Highly precise determination of optical constants and sample thickness in terahertz time-domain spectroscopy,” Appl. Opt. 38(2), 409–415 (1999).
    [CrossRef]
  4. Y. C. Shen, P. F. Taday, and M. Pepper, “Elimination of scattering effects in spectral measurement of granulated materials using terahertz pulsed spectroscopy,” Appl. Phys. Lett. 92(5), 051103 (2008).
    [CrossRef]
  5. F. Theberge, M. Chateauneuf, and J. Dubois, “Effects of spatial coherence distortion on terahertz time-domain spectroscopy,” Appl. Phys. Lett. . 92(18), 183501 (2008).
    [CrossRef]
  6. F. Théberge, M. Châteauneuf, J. Dubois, S. Désilets, and L.-S. Lussier, “Spectral artifacts from non-uniform samples analyzed by terahertz time-domain spectroscopy,” Opt. Express 17(13), 10841–10848 (2009).
    [CrossRef] [PubMed]
  7. M. Lu, J. Shen, N. Li, Y. Zhang, C. Zhang, L. Liang, and X. Xu, “Detection and identification of illicit drugs using terahertz imaging,” J. Appl. Phys. 100(10), 103104 (2006).
    [CrossRef]
  8. G. Mouret, S. Matton, R. Bocquet, D. Bigourd, F. Hindle, A. Cuisset, J. Lampin, and D. Lippens, “Anomalous dispersion measurement in terahertz frequency region by photomixing,” Appl. Phys. Lett. 88(18), 181105 (2006).
    [CrossRef]
  9. J. Sun, J. Shen, L. Liang, X. Xu, H. Liu, and C. Zhang, “Experimental investigation on terahertz spectra of amphetamine type stimulants,” Chin. Phys. Lett. 22(12), 3176–3178 (2005).
    [CrossRef]
  10. N. Li, J. Shen, M. Lu, Y. Jia, J. Sun, L. Liang, Y. Shi, X. Xu, and C. Zhang, "Non-destructive inspections of illicit drugs in envelope using terahertz time-domain spectroscopy," in 2006), 60472Y.

2009 (1)

2008 (2)

Y. C. Shen, P. F. Taday, and M. Pepper, “Elimination of scattering effects in spectral measurement of granulated materials using terahertz pulsed spectroscopy,” Appl. Phys. Lett. 92(5), 051103 (2008).
[CrossRef]

F. Theberge, M. Chateauneuf, and J. Dubois, “Effects of spatial coherence distortion on terahertz time-domain spectroscopy,” Appl. Phys. Lett. . 92(18), 183501 (2008).
[CrossRef]

2006 (2)

M. Lu, J. Shen, N. Li, Y. Zhang, C. Zhang, L. Liang, and X. Xu, “Detection and identification of illicit drugs using terahertz imaging,” J. Appl. Phys. 100(10), 103104 (2006).
[CrossRef]

G. Mouret, S. Matton, R. Bocquet, D. Bigourd, F. Hindle, A. Cuisset, J. Lampin, and D. Lippens, “Anomalous dispersion measurement in terahertz frequency region by photomixing,” Appl. Phys. Lett. 88(18), 181105 (2006).
[CrossRef]

2005 (2)

J. Sun, J. Shen, L. Liang, X. Xu, H. Liu, and C. Zhang, “Experimental investigation on terahertz spectra of amphetamine type stimulants,” Chin. Phys. Lett. 22(12), 3176–3178 (2005).
[CrossRef]

B. Fischer, M. Hoffmann, H. Helm, G. Modjesch, and P. Jepsen, “Chemical recognition in terahertz time-domain spectroscopy and imaging,” Semicond. Sci. Technol. 20(7), S246–S253 (2005).
[CrossRef]

1999 (1)

Bigourd, D.

G. Mouret, S. Matton, R. Bocquet, D. Bigourd, F. Hindle, A. Cuisset, J. Lampin, and D. Lippens, “Anomalous dispersion measurement in terahertz frequency region by photomixing,” Appl. Phys. Lett. 88(18), 181105 (2006).
[CrossRef]

Bocquet, R.

G. Mouret, S. Matton, R. Bocquet, D. Bigourd, F. Hindle, A. Cuisset, J. Lampin, and D. Lippens, “Anomalous dispersion measurement in terahertz frequency region by photomixing,” Appl. Phys. Lett. 88(18), 181105 (2006).
[CrossRef]

Chateauneuf, M.

F. Theberge, M. Chateauneuf, and J. Dubois, “Effects of spatial coherence distortion on terahertz time-domain spectroscopy,” Appl. Phys. Lett. . 92(18), 183501 (2008).
[CrossRef]

Châteauneuf, M.

Coutaz, J. L.

Cuisset, A.

G. Mouret, S. Matton, R. Bocquet, D. Bigourd, F. Hindle, A. Cuisset, J. Lampin, and D. Lippens, “Anomalous dispersion measurement in terahertz frequency region by photomixing,” Appl. Phys. Lett. 88(18), 181105 (2006).
[CrossRef]

Désilets, S.

Dubois, J.

F. Théberge, M. Châteauneuf, J. Dubois, S. Désilets, and L.-S. Lussier, “Spectral artifacts from non-uniform samples analyzed by terahertz time-domain spectroscopy,” Opt. Express 17(13), 10841–10848 (2009).
[CrossRef] [PubMed]

F. Theberge, M. Chateauneuf, and J. Dubois, “Effects of spatial coherence distortion on terahertz time-domain spectroscopy,” Appl. Phys. Lett. . 92(18), 183501 (2008).
[CrossRef]

Duvillaret, L.

Fischer, B.

B. Fischer, M. Hoffmann, H. Helm, G. Modjesch, and P. Jepsen, “Chemical recognition in terahertz time-domain spectroscopy and imaging,” Semicond. Sci. Technol. 20(7), S246–S253 (2005).
[CrossRef]

Garet, F.

Helm, H.

B. Fischer, M. Hoffmann, H. Helm, G. Modjesch, and P. Jepsen, “Chemical recognition in terahertz time-domain spectroscopy and imaging,” Semicond. Sci. Technol. 20(7), S246–S253 (2005).
[CrossRef]

Hindle, F.

G. Mouret, S. Matton, R. Bocquet, D. Bigourd, F. Hindle, A. Cuisset, J. Lampin, and D. Lippens, “Anomalous dispersion measurement in terahertz frequency region by photomixing,” Appl. Phys. Lett. 88(18), 181105 (2006).
[CrossRef]

Hoffmann, M.

B. Fischer, M. Hoffmann, H. Helm, G. Modjesch, and P. Jepsen, “Chemical recognition in terahertz time-domain spectroscopy and imaging,” Semicond. Sci. Technol. 20(7), S246–S253 (2005).
[CrossRef]

Jepsen, P.

B. Fischer, M. Hoffmann, H. Helm, G. Modjesch, and P. Jepsen, “Chemical recognition in terahertz time-domain spectroscopy and imaging,” Semicond. Sci. Technol. 20(7), S246–S253 (2005).
[CrossRef]

Lampin, J.

G. Mouret, S. Matton, R. Bocquet, D. Bigourd, F. Hindle, A. Cuisset, J. Lampin, and D. Lippens, “Anomalous dispersion measurement in terahertz frequency region by photomixing,” Appl. Phys. Lett. 88(18), 181105 (2006).
[CrossRef]

Li, N.

M. Lu, J. Shen, N. Li, Y. Zhang, C. Zhang, L. Liang, and X. Xu, “Detection and identification of illicit drugs using terahertz imaging,” J. Appl. Phys. 100(10), 103104 (2006).
[CrossRef]

Liang, L.

M. Lu, J. Shen, N. Li, Y. Zhang, C. Zhang, L. Liang, and X. Xu, “Detection and identification of illicit drugs using terahertz imaging,” J. Appl. Phys. 100(10), 103104 (2006).
[CrossRef]

J. Sun, J. Shen, L. Liang, X. Xu, H. Liu, and C. Zhang, “Experimental investigation on terahertz spectra of amphetamine type stimulants,” Chin. Phys. Lett. 22(12), 3176–3178 (2005).
[CrossRef]

Lippens, D.

G. Mouret, S. Matton, R. Bocquet, D. Bigourd, F. Hindle, A. Cuisset, J. Lampin, and D. Lippens, “Anomalous dispersion measurement in terahertz frequency region by photomixing,” Appl. Phys. Lett. 88(18), 181105 (2006).
[CrossRef]

Liu, H.

J. Sun, J. Shen, L. Liang, X. Xu, H. Liu, and C. Zhang, “Experimental investigation on terahertz spectra of amphetamine type stimulants,” Chin. Phys. Lett. 22(12), 3176–3178 (2005).
[CrossRef]

Lu, M.

M. Lu, J. Shen, N. Li, Y. Zhang, C. Zhang, L. Liang, and X. Xu, “Detection and identification of illicit drugs using terahertz imaging,” J. Appl. Phys. 100(10), 103104 (2006).
[CrossRef]

Lussier, L.-S.

Matton, S.

G. Mouret, S. Matton, R. Bocquet, D. Bigourd, F. Hindle, A. Cuisset, J. Lampin, and D. Lippens, “Anomalous dispersion measurement in terahertz frequency region by photomixing,” Appl. Phys. Lett. 88(18), 181105 (2006).
[CrossRef]

Modjesch, G.

B. Fischer, M. Hoffmann, H. Helm, G. Modjesch, and P. Jepsen, “Chemical recognition in terahertz time-domain spectroscopy and imaging,” Semicond. Sci. Technol. 20(7), S246–S253 (2005).
[CrossRef]

Mouret, G.

G. Mouret, S. Matton, R. Bocquet, D. Bigourd, F. Hindle, A. Cuisset, J. Lampin, and D. Lippens, “Anomalous dispersion measurement in terahertz frequency region by photomixing,” Appl. Phys. Lett. 88(18), 181105 (2006).
[CrossRef]

Pepper, M.

Y. C. Shen, P. F. Taday, and M. Pepper, “Elimination of scattering effects in spectral measurement of granulated materials using terahertz pulsed spectroscopy,” Appl. Phys. Lett. 92(5), 051103 (2008).
[CrossRef]

Shen, J.

M. Lu, J. Shen, N. Li, Y. Zhang, C. Zhang, L. Liang, and X. Xu, “Detection and identification of illicit drugs using terahertz imaging,” J. Appl. Phys. 100(10), 103104 (2006).
[CrossRef]

J. Sun, J. Shen, L. Liang, X. Xu, H. Liu, and C. Zhang, “Experimental investigation on terahertz spectra of amphetamine type stimulants,” Chin. Phys. Lett. 22(12), 3176–3178 (2005).
[CrossRef]

Shen, Y. C.

Y. C. Shen, P. F. Taday, and M. Pepper, “Elimination of scattering effects in spectral measurement of granulated materials using terahertz pulsed spectroscopy,” Appl. Phys. Lett. 92(5), 051103 (2008).
[CrossRef]

Sun, J.

J. Sun, J. Shen, L. Liang, X. Xu, H. Liu, and C. Zhang, “Experimental investigation on terahertz spectra of amphetamine type stimulants,” Chin. Phys. Lett. 22(12), 3176–3178 (2005).
[CrossRef]

Taday, P. F.

Y. C. Shen, P. F. Taday, and M. Pepper, “Elimination of scattering effects in spectral measurement of granulated materials using terahertz pulsed spectroscopy,” Appl. Phys. Lett. 92(5), 051103 (2008).
[CrossRef]

Theberge, F.

F. Theberge, M. Chateauneuf, and J. Dubois, “Effects of spatial coherence distortion on terahertz time-domain spectroscopy,” Appl. Phys. Lett. . 92(18), 183501 (2008).
[CrossRef]

Théberge, F.

Xu, X.

M. Lu, J. Shen, N. Li, Y. Zhang, C. Zhang, L. Liang, and X. Xu, “Detection and identification of illicit drugs using terahertz imaging,” J. Appl. Phys. 100(10), 103104 (2006).
[CrossRef]

J. Sun, J. Shen, L. Liang, X. Xu, H. Liu, and C. Zhang, “Experimental investigation on terahertz spectra of amphetamine type stimulants,” Chin. Phys. Lett. 22(12), 3176–3178 (2005).
[CrossRef]

Zhang, C.

M. Lu, J. Shen, N. Li, Y. Zhang, C. Zhang, L. Liang, and X. Xu, “Detection and identification of illicit drugs using terahertz imaging,” J. Appl. Phys. 100(10), 103104 (2006).
[CrossRef]

J. Sun, J. Shen, L. Liang, X. Xu, H. Liu, and C. Zhang, “Experimental investigation on terahertz spectra of amphetamine type stimulants,” Chin. Phys. Lett. 22(12), 3176–3178 (2005).
[CrossRef]

Zhang, Y.

M. Lu, J. Shen, N. Li, Y. Zhang, C. Zhang, L. Liang, and X. Xu, “Detection and identification of illicit drugs using terahertz imaging,” J. Appl. Phys. 100(10), 103104 (2006).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. Lett. (3)

G. Mouret, S. Matton, R. Bocquet, D. Bigourd, F. Hindle, A. Cuisset, J. Lampin, and D. Lippens, “Anomalous dispersion measurement in terahertz frequency region by photomixing,” Appl. Phys. Lett. 88(18), 181105 (2006).
[CrossRef]

Y. C. Shen, P. F. Taday, and M. Pepper, “Elimination of scattering effects in spectral measurement of granulated materials using terahertz pulsed spectroscopy,” Appl. Phys. Lett. 92(5), 051103 (2008).
[CrossRef]

F. Theberge, M. Chateauneuf, and J. Dubois, “Effects of spatial coherence distortion on terahertz time-domain spectroscopy,” Appl. Phys. Lett. . 92(18), 183501 (2008).
[CrossRef]

Chin. Phys. Lett. (1)

J. Sun, J. Shen, L. Liang, X. Xu, H. Liu, and C. Zhang, “Experimental investigation on terahertz spectra of amphetamine type stimulants,” Chin. Phys. Lett. 22(12), 3176–3178 (2005).
[CrossRef]

J. Appl. Phys. (1)

M. Lu, J. Shen, N. Li, Y. Zhang, C. Zhang, L. Liang, and X. Xu, “Detection and identification of illicit drugs using terahertz imaging,” J. Appl. Phys. 100(10), 103104 (2006).
[CrossRef]

Opt. Express (1)

Semicond. Sci. Technol. (1)

B. Fischer, M. Hoffmann, H. Helm, G. Modjesch, and P. Jepsen, “Chemical recognition in terahertz time-domain spectroscopy and imaging,” Semicond. Sci. Technol. 20(7), S246–S253 (2005).
[CrossRef]

Other (2)

H. Liu and X. Zhang, "Terahertz Spectroscopy for Explosive, Pharmaceutical, and Biological Sensing Applications," Terahertz Frequency Detection and Identification of Materials and Objects, 251-323.

N. Li, J. Shen, M. Lu, Y. Jia, J. Sun, L. Liang, Y. Shi, X. Xu, and C. Zhang, "Non-destructive inspections of illicit drugs in envelope using terahertz time-domain spectroscopy," in 2006), 60472Y.

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Figures (5)

Fig. 1
Fig. 1

Temporal waveform of part-through measurement (red line) and typical measurement (blue line), terahertz pulses illuminated a 1.08 mm thick plate of Methamphetamine (diameter is 13.0mm).

Fig. 2
Fig. 2

Comparison of typical measurement (black line) and part through measurement (red line) absorption spectrum of Teflon tablet.

Fig. 3
Fig. 3

Locations of periodic interference maximum of measurement and calculation of Teflon tablet. Red Crosses are the measurement peaks; black circle is the calculation maximum.

Fig. 4
Fig. 4

Amplitude vector method for extracting fingerprint of sample.

Fig. 5
Fig. 5

Terahertz absorption spectra of methamphetamine (MA), (a) Interference destruction spectrum; (b) Absorption spectrum; (c) Extracted in time domain; (d) Extracted in frequency domain.

Equations (5)

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T ( ω ) = E ˜ s a m ( ω ) E ˜ r e f ( ω ) , α = ln | T ( ω ) | 2
E ˜ o ( ω ) = p E ˜ r e f ( ω ) + ( 1 p ) E ˜ s a m ( ω ) , ( 0 p 1 )
T ( ω ) = E ˜ o ( ω ) E ˜ r e f ( ω ) = p E ˜ r e f ( ω ) + ( 1 p ) E ˜ s a m E ˜ r e f ( ω )
α ' = ln | T ' ( ω ) | 2 = ln | E ˜ o ( ω ) | 2 | E ˜ r e f ( ω ) | 2 = ln p 2 | E ˜ r e f ( ω ) | 2 + ( 1 p ) 2 | E ˜ s a m ( ω ) | 2 + 2 p ( 1 p ) | E ˜ r e f ( ω ) | | E ˜ s a m ( ω ) | cos ϕ ( ω ) | E ˜ r e f ( ω ) | 2 = ln [ p 2 + ( 1 p ) 2 | T ( ω ) | 2 + F ( ω ) ]
f max = ( 2 k + 1 ) c 2 ( n ( ω ) 1 ) d , ( k = 0 , ± 1 , ± 2 )

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