1 March 1992 Absolute absorption intensities of liquids: towards the determination and use of secondary infrared absorption intensity standards; absorption intensities of liquid benzene
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Proceedings Volume 1575, 8th Intl Conf on Fourier Transform Spectroscopy; (1992) https://doi.org/10.1117/12.56478
Event: Eighth International Conference on Fourier Transform Spectroscopy, 1991, Lubeck-Travemunde, Germany
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.
© (1992) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
John E. Bertie, C. Dale Keefe, and R. Norman Jones "Absolute absorption intensities of liquids: towards the determination and use of secondary infrared absorption intensity standards; absorption intensities of liquid benzene", Proc. SPIE 1575, 8th Intl Conf on Fourier Transform Spectroscopy, (1 March 1992); doi: 10.1117/12.56478; https://doi.org/10.1117/12.56478
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