Accuracy of different Kramers-Konig transformations from reflectivity to phase shift on attenuated total reflection

John E. Bertie; Zhida Lan

doi:10.1117/12.166566

31 January 1994 Accuracy of different Kramers-Konig transformations from reflectivity to phase shift on attenuated total reflection

John E. Bertie, Zhida Lan

Author Affiliations +

Proceedings Volume 2089, 9th International Conference on Fourier Transform Spectroscopy; (1994) https://doi.org/10.1117/12.166566
Event: Fourier Transform Spectroscopy: Ninth International Conference, 1993, Calgary, Canada

Abstract

We examine the accuracy of two published and one new Kramers-Kronig (KK) transformations from reflectivity to phase shift on attenuated total reflection (ATR), by exploring the simulated ATR spectra of liquid methanol with ZnSe or silicon as transparent phase. A simple non constant correction to the phase shift is also proposed to reduce the approximation that is introduced into the KK transforms by the small wavenumber dependence of the real refractive index of the transparent phase in the IR region. for the methanol spectrum with silicon as transparent phase, the recovered phase shift can be accurate to 0.0001 radian. This corresponds to 0.02% and 0.04% accuracy in the recovered real, n, and imaginary, k, refractive indices respectively.

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John E. Bertie and Zhida Lan "Accuracy of different Kramers-Konig transformations from reflectivity to phase shift on attenuated total reflection", Proc. SPIE 2089, 9th International Conference on Fourier Transform Spectroscopy, (31 January 1994); https://doi.org/10.1117/12.166566

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