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Theory of the Derivative Spectrometer

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Abstract

The theory for sinusoidally modulated derivative spectrometers shows that the transfer function for the mth derivative is proportional to the Bessel function of the first kind of order m. The instrument function is expressed in terms of the Chebyshev polynomial of order m or in terms of a weighted-mean mth derivative of the spectral flux within the interval of modulation.

© 1970 Optical Society of America

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