Numerical methods for correcting observed spectral line profiles for instrument effects

Computer Science – Numerical Analysis

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Astronomical Spectroscopy, Data Reduction, Instrument Errors, Line Spectra, Numerical Analysis, Burger Equation, Fourier Transformation, Iterative Solution, Line Shape, Spectrophotometers

Scientific paper

Two numerical methods for correcting observed spectral line profiles for the effect of the instrument profile are examined: the Burger-van Sittert technique and Fourier transformation with regularization. It is shown that both methods yield similar results in the case of a spectral line whose half-width is at least twice as large as the half-width of the instrument profile. However, for a line with a narrower profile, Fourier transformation with regularization is found to yield a better solution than the Burger-van Sittert technique.

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