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Distortion of Spectral Line Shapes by Recording Instruments

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Abstract

Input signals defined as intensities were assumed to have Gaussian- or Lorentz-shape functions. A rectangular optical slit function was chosen, neglecting any diffraction effects. The effect of recording was described using constant scanning and recording speed and a simple low-pass RC filter as noise damping network. Formulas for the distorted output signals have been derived and evaluated numerically by means of an electronic digital computer. Curves and tables are given representing signal distortion, characterized by frequency shift, decrease of peak height and increase of band half-width. It may be seen that the distortion effect will be negligible if both ρ≦0.1 and κ≧10. The integral over the distorted signal equals the original integral and will not be affected by optical slit and recording under the conditions assumed here.

© 1961 Optical Society of America

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Equations (27)

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