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Accuracy of Distance Determination by Range–Intensity Correlation Methods for Nonrectangular Illuminating Pulse Shape

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Journal of Applied Spectroscopy Aims and scope

We have analyzed the accuracy of distance determination by range–intensity correlation methods in the case of an arbitrary pulse shape. We show that the absolute error is proportional to the pulse duration τL. For a trapezoidal pulse shape, which is a reasonable approximation of the real pulse shape, we obtain an analytical estimate of the extremal error and the distance at which is it realized. The maximum error in the distance obtained in calculations with trapezoidal pulses corresponds to an extremely asymmetric pulse and is a little over 10% of the spatial pulse length τLc, where c is the speed of light. Symmetric pulses give an error due to nonrectangularity of the pulse that is smaller by a factor of ~2. Since a trapezoidal shape can qualitatively reproduce the shape of practically any real pulse, probably the trapezoidal pulse model gives an estimate of the highest possible error.

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Authors and Affiliations

  1. B. I. Stepanov Institute of Physics, National Academy of Sciences of Belarus, 68-2 Nezavisimost′ Ave., 220072, Minsk, Belarus

    V. P. Kabashnikov & B. F. Kuntsevich

Authors
  1. V. P. Kabashnikov
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  2. B. F. Kuntsevich
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Correspondence to V. P. Kabashnikov.

Additional information

Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 85, No. 4, pp. 645–651, July–August, 2018.

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Kabashnikov, V.P., Kuntsevich, B.F. Accuracy of Distance Determination by Range–Intensity Correlation Methods for Nonrectangular Illuminating Pulse Shape. J Appl Spectrosc 85, 697–703 (2018). https://doi.org/10.1007/s10812-018-0707-4

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  • DOI: https://doi.org/10.1007/s10812-018-0707-4

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