Abstract

The performance of a zero-crossing-based optical spectrum analyzer is presented. With the use of only a single comparator, the analyzer circuit detects one zero crossing per Nyquist interval with a location accuracy of 1 part in 256. The dynamic range of sampling is limited only by the supply voltages of the comparator and the noise arising from truncation errors associated with computation. The 512-component spectra of various interferogram inputs are directly computed by Newton's formula from the measured crossings. The single-channel spectrum analyzer with a preselectable Nyquist sampling interval setting is constructed with discrete transistor–transistor logic and analog components. The ultimate performance characteristics of the analyzer are set by the response capabilities of the electronic components used.

© 1993 Optical Society of America

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References

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  1. C. Saloma, P. Haeberli, Opt. Lett. 16, 1535 (1991).
    [CrossRef] [PubMed]
  2. A. Montowski, M. Stark, Introduction to Higher Algebra (Pergamon, Oxford, 1964), p. 359.
  3. P. Horowitz, W. Hill, The Art of Electronics (Cambridge U. Press, Cambridge, 1980), pp. 415–416.
  4. S. Kay, R. Sudhaker, IEEE Trans. Acoust. Speech Signal Process. ASSP-34, 96 (1986).
    [CrossRef]
  5. B. Logan, Bell Syst. Tech. J. 56, 487 (1977).
  6. A. Requicha, Proc. IEEE 68, 308 (1977).
    [CrossRef]
  7. H. J. Caulfield, Handbook of Optical Holography (Academic, New York, 1979) Sec. 10.9, pp. 587–594.
  8. K. Minami, S. Kawata, S. Minami, Appl. Opt. 31, 6322 (1992).
    [CrossRef] [PubMed]

1992 (1)

1991 (1)

1986 (1)

S. Kay, R. Sudhaker, IEEE Trans. Acoust. Speech Signal Process. ASSP-34, 96 (1986).
[CrossRef]

1977 (2)

B. Logan, Bell Syst. Tech. J. 56, 487 (1977).

A. Requicha, Proc. IEEE 68, 308 (1977).
[CrossRef]

Caulfield, H. J.

H. J. Caulfield, Handbook of Optical Holography (Academic, New York, 1979) Sec. 10.9, pp. 587–594.

Haeberli, P.

Hill, W.

P. Horowitz, W. Hill, The Art of Electronics (Cambridge U. Press, Cambridge, 1980), pp. 415–416.

Horowitz, P.

P. Horowitz, W. Hill, The Art of Electronics (Cambridge U. Press, Cambridge, 1980), pp. 415–416.

Kawata, S.

Kay, S.

S. Kay, R. Sudhaker, IEEE Trans. Acoust. Speech Signal Process. ASSP-34, 96 (1986).
[CrossRef]

Logan, B.

B. Logan, Bell Syst. Tech. J. 56, 487 (1977).

Minami, K.

Minami, S.

Montowski, A.

A. Montowski, M. Stark, Introduction to Higher Algebra (Pergamon, Oxford, 1964), p. 359.

Requicha, A.

A. Requicha, Proc. IEEE 68, 308 (1977).
[CrossRef]

Saloma, C.

Stark, M.

A. Montowski, M. Stark, Introduction to Higher Algebra (Pergamon, Oxford, 1964), p. 359.

Sudhaker, R.

S. Kay, R. Sudhaker, IEEE Trans. Acoust. Speech Signal Process. ASSP-34, 96 (1986).
[CrossRef]

Appl. Opt. (1)

Bell Syst. Tech. J. (1)

B. Logan, Bell Syst. Tech. J. 56, 487 (1977).

IEEE Trans. Acoust. Speech Signal Process (1)

S. Kay, R. Sudhaker, IEEE Trans. Acoust. Speech Signal Process. ASSP-34, 96 (1986).
[CrossRef]

Opt. Lett. (1)

Proc. IEEE (1)

A. Requicha, Proc. IEEE 68, 308 (1977).
[CrossRef]

Other (3)

H. J. Caulfield, Handbook of Optical Holography (Academic, New York, 1979) Sec. 10.9, pp. 587–594.

A. Montowski, M. Stark, Introduction to Higher Algebra (Pergamon, Oxford, 1964), p. 359.

P. Horowitz, W. Hill, The Art of Electronics (Cambridge U. Press, Cambridge, 1980), pp. 415–416.

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Figures (4)

Fig. 1
Fig. 1

Logic diagram of the zero-crossing detector. OSC, oscillator; C's, comparators.

Fig. 2
Fig. 2

Timing diagram used to enforce the crossing detection.

Fig. 3
Fig. 3

Performance of the optical spectrum analyzer with a synthetic doublet interferogram as input: (a) computed spectrum, (b) 512-point reconstruction.

Fig. 4
Fig. 4

Computed spectrum from a He–Ne interferogram input.

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