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Analytical description of a Fabry-Perot spectrometer 6: Minimum number of samples required in the determination of Doppler widths and shifts

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Abstract

The minimum number of samples required to obtain the least uncertainties of determination for measurements of temperature and winds with a Fabry-Perot photoelectric spectrometer are derived. The specific cases for a spectrometer optimized for Doppler width (temperature) and Doppler shift (winds) determinations are treated where the minimum (critical) number of equidistant samples per free spectral range is found to be equal to 14 and 8, respectively. An approximate empirical criterion to derive the number of samples in terms of effective finesse Ne has been obtained and is equal to ∼4Ne for practical spectrometer and source widths.

© 1982 Optical Society of America

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