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Proceedings Paper

Absolute absorption intensities of liquids: towards the determination and use of secondary infrared absorption intensity standards; absorption intensities of liquid benzene
Author(s): John E. Bertie; C. Dale Keefe; R. Norman Jones
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Paper Abstract

In this paper we examine the accuracy of different algorithms for the FFT-based Hilbert transform, compared with the much slower Kramers-Kronig transform. For the transform from imaginary to real refractive indices, the Kramers-Kronig transform gives deviations from the correct n((nu) ) spectra of 0.05%, while some existing algorithms for the Hilbert transform give up to 4% deviation over a wide wavenumber range. The BZ algorithm for the Hilbert transform is presented which gives n((nu) ) accurate to 0.05% deviation, the same as the Kramers-Kronig transform. The BZ algorithm for the transform from real to imaginary refractive index gives k((nu) ) accurate to 0.2% of the largest k((nu) ) value in the spectrum.

Paper Details

Date Published: 1 March 1992
PDF: 2 pages
Proc. SPIE 1575, 8th Intl Conf on Fourier Transform Spectroscopy, (1 March 1992); doi: 10.1117/12.56478
Show Author Affiliations
John E. Bertie, Univ. of Alberta (Canada)
C. Dale Keefe, Univ. of Alberta (Canada)
R. Norman Jones, National Research Council Canada (Canada)


Published in SPIE Proceedings Vol. 1575:
8th Intl Conf on Fourier Transform Spectroscopy

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