Abstract

We discuss procedures for calculating the signal-to-noise ratios and the dynamic ranges of terahertz time-domain spectrometers. We also offer recommendations for standardized calculations for time-domain and frequency-domain data.

© 2009 Optical Society of America

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References

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  1. http://www.picometrix.com/documents/pdf/T-Ray4000%20DS1.pdf
  2. http://www.teraview.com/terahertz/id/62
  3. P. Y. Han, M. Tani, M. Usami, S. Kono, R. Kersting, and X.-C. Zhang, J. Appl. Phys. 89, 2357 (2001).
    [CrossRef]
  4. G. Zhao, R. N. Schouten, N. van der Valk, W. Th. Wenckebach, and P. C. M. Planken, Rev. Sci. Instrum. 73, 1715 (2002).
    [CrossRef]
  5. P. U. Jepsen and B. M. Fischer, Opt. Lett. 30, 29 (2005).
    [CrossRef] [PubMed]
  6. W. Withayachumnankul, B. M. Fischer, and D. Abbott, Opt. Express 16, 7382 (2008).
    [CrossRef] [PubMed]
  7. J. S. Bendat and S. G. Piersol, Random Data Analysis and Measurement Procedures, 3rd ed. (Wiley, 2000), Ch. 10, p. 357.

2008 (1)

2005 (1)

2002 (1)

G. Zhao, R. N. Schouten, N. van der Valk, W. Th. Wenckebach, and P. C. M. Planken, Rev. Sci. Instrum. 73, 1715 (2002).
[CrossRef]

2001 (1)

P. Y. Han, M. Tani, M. Usami, S. Kono, R. Kersting, and X.-C. Zhang, J. Appl. Phys. 89, 2357 (2001).
[CrossRef]

Abbott, D.

Bendat, J. S.

J. S. Bendat and S. G. Piersol, Random Data Analysis and Measurement Procedures, 3rd ed. (Wiley, 2000), Ch. 10, p. 357.

Fischer, B. M.

Han, P. Y.

P. Y. Han, M. Tani, M. Usami, S. Kono, R. Kersting, and X.-C. Zhang, J. Appl. Phys. 89, 2357 (2001).
[CrossRef]

Jepsen, P. U.

Kersting, R.

P. Y. Han, M. Tani, M. Usami, S. Kono, R. Kersting, and X.-C. Zhang, J. Appl. Phys. 89, 2357 (2001).
[CrossRef]

Kono, S.

P. Y. Han, M. Tani, M. Usami, S. Kono, R. Kersting, and X.-C. Zhang, J. Appl. Phys. 89, 2357 (2001).
[CrossRef]

Piersol, S. G.

J. S. Bendat and S. G. Piersol, Random Data Analysis and Measurement Procedures, 3rd ed. (Wiley, 2000), Ch. 10, p. 357.

Planken, P. C. M.

G. Zhao, R. N. Schouten, N. van der Valk, W. Th. Wenckebach, and P. C. M. Planken, Rev. Sci. Instrum. 73, 1715 (2002).
[CrossRef]

Schouten, R. N.

G. Zhao, R. N. Schouten, N. van der Valk, W. Th. Wenckebach, and P. C. M. Planken, Rev. Sci. Instrum. 73, 1715 (2002).
[CrossRef]

Tani, M.

P. Y. Han, M. Tani, M. Usami, S. Kono, R. Kersting, and X.-C. Zhang, J. Appl. Phys. 89, 2357 (2001).
[CrossRef]

Usami, M.

P. Y. Han, M. Tani, M. Usami, S. Kono, R. Kersting, and X.-C. Zhang, J. Appl. Phys. 89, 2357 (2001).
[CrossRef]

van der Valk, N.

G. Zhao, R. N. Schouten, N. van der Valk, W. Th. Wenckebach, and P. C. M. Planken, Rev. Sci. Instrum. 73, 1715 (2002).
[CrossRef]

Wenckebach, W. Th.

G. Zhao, R. N. Schouten, N. van der Valk, W. Th. Wenckebach, and P. C. M. Planken, Rev. Sci. Instrum. 73, 1715 (2002).
[CrossRef]

Withayachumnankul, W.

Zhang, X.-C.

P. Y. Han, M. Tani, M. Usami, S. Kono, R. Kersting, and X.-C. Zhang, J. Appl. Phys. 89, 2357 (2001).
[CrossRef]

Zhao, G.

G. Zhao, R. N. Schouten, N. van der Valk, W. Th. Wenckebach, and P. C. M. Planken, Rev. Sci. Instrum. 73, 1715 (2002).
[CrossRef]

J. Appl. Phys. (1)

P. Y. Han, M. Tani, M. Usami, S. Kono, R. Kersting, and X.-C. Zhang, J. Appl. Phys. 89, 2357 (2001).
[CrossRef]

Opt. Express (1)

Opt. Lett. (1)

Rev. Sci. Instrum. (1)

G. Zhao, R. N. Schouten, N. van der Valk, W. Th. Wenckebach, and P. C. M. Planken, Rev. Sci. Instrum. 73, 1715 (2002).
[CrossRef]

Other (3)

http://www.picometrix.com/documents/pdf/T-Ray4000%20DS1.pdf

http://www.teraview.com/terahertz/id/62

J. S. Bendat and S. G. Piersol, Random Data Analysis and Measurement Procedures, 3rd ed. (Wiley, 2000), Ch. 10, p. 357.

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Figures (3)

Fig. 1
Fig. 1

Left ordinate, typical time-domain trace (mean of nine runs) and the SD of the data. Right ordinate, SNR, calculated as the ratio of the mean value to its SD.

Fig. 2
Fig. 2

Left ordinate, average fast Fourier transform (FFT) amplitude spectrum (mean of nine runs), with the noise floor indicated. Maximum dynamic range = maximum FFT / noise floor 2000 . Right ordinate, ratio of the FFT of the mean time-domain trace and the mean FFT spectrum, demonstrating the result of two methods of signal averaging of the amplitude spectrum.

Fig. 3
Fig. 3

Left ordinate, DR of the amplitude spectrum, calculated as the ratio of the FFT spectrum to the noise floor. Right ordinate, SNR of the amplitude spectrum, calculated as the ratio of the mean FFT spectrum to its SD.

Tables (1)

Tables Icon

Table 1 SNR and DR Values of the Sample Data

Equations (2)

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SNR = mean magnitude of amplitude standard deviation of amplitude ,
DR = maximum magnitude of amplitude rms of noise floor .

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