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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 16, Iss. 19 — Oct. 1, 1991
  • pp: 1535–1537

Optical spectrum analysis from zero crossings

Caesar Saloma and Pierre Haeberli  »View Author Affiliations


Optics Letters, Vol. 16, Issue 19, pp. 1535-1537 (1991)
http://dx.doi.org/10.1364/OL.16.001535


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Abstract

A practical method of computing the spectral components directly from measured zero crossings of interferograms is presented. The method requires the sampling of only one zero crossing per Nyquist interval and yields results with a normalized mean-square error that is better than 10−6 with respect to the fast Fourier transformation when the zero crossing is located within the Nyquist interval with an accuracy of one part in 106. The method is also robust against error frequencies that may arise owing to the finite range in the floating-point representation of numbers in a computer. The error frequencies appear whenever a large number of crossings is processed. This type of error is not related to the accuracy of locating the zero crossings and limits the operational bandwidth of a zero-crossing-based optical spectrum analyzer.

© 1991 Optical Society of America

History
Original Manuscript: May 6, 1991
Published: October 1, 1991

Citation
Caesar Saloma and Pierre Haeberli, "Optical spectrum analysis from zero crossings," Opt. Lett. 16, 1535-1537 (1991)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-16-19-1535


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References

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