caa a22 4500 445305924 CHVBK 20180317142613.0 cr unu---uuuuu 170323e20110501xx s 000 0 eng 10.1007/s10762-010-9669-1 doi (NATIONALLICENCE)springer-10.1007/s10762-010-9669-1 Uncertainty and Ambiguity in Terahertz Parameter Extraction and Data Analysis [Elektronische Daten] [Matthias Krüger, Stefan Funkner, Erik Bründermann, Martina Havenith] Phase sensitive measurement techniques, such as THz time-domain spectroscopy or dispersive Fourier transform spectroscopy, are very useful tools to obtain a complete set of optical material parameters. When recording the electric field as a function of time delay between THz and optical pulse, the absorption coefficient and the index of refraction can be extracted. However, the analysis shows ambiguity. Here, we describe an analysis which yields a complete set of mathematical solutions and show how the physically relevant can be deduced. We present a comprehensive mathematical survey for parameter extraction. We have recorded the THz spectra of anthracene and the fatty acid capric acid as examples for weakly absorbing solid samples, and an ionic liquid as an example for a strongly absorbing liquid sample. Finally, we discuss the uncertainty of the obtained optical parameters using error propagation of the Fourier transformation with a simple model and a rigorous mathematical procedure. Springer Science+Business Media, LLC, 2010 Terahertz time-domain spectroscopy nationallicence Parameter extraction nationallicence Terahertz dielectric spectroscopy nationallicence Complex index of refraction nationallicence Complex dielectric function nationallicence Terahertz data analysis nationallicence Krüger Matthias Physikalische Chemie II, Ruhr-Universität Bochum, NC7/72, 44780, Bochum, Germany aut Funkner Stefan Physikalische Chemie II, Ruhr-Universität Bochum, NC7/72, 44780, Bochum, Germany aut Bründermann Erik Physikalische Chemie II, Ruhr-Universität Bochum, NC7/72, 44780, Bochum, Germany aut Havenith Martina Physikalische Chemie II, Ruhr-Universität Bochum, NC7/72, 44780, Bochum, Germany aut Journal of Infrared, Millimeter, and Terahertz Waves Springer US; http://www.springer-ny.com 32/5(2011-05-01), 699-715 1866-6892 32:5<699 2011 32 10762 https://doi.org/10.1007/s10762-010-9669-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10762-010-9669-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Krüger Matthias Physikalische Chemie II, Ruhr-Universität Bochum, NC7/72, 44780, Bochum, Germany aut NATIONALLICENCE 700 1- Funkner Stefan Physikalische Chemie II, Ruhr-Universität Bochum, NC7/72, 44780, Bochum, Germany aut NATIONALLICENCE 700 1- Bründermann Erik Physikalische Chemie II, Ruhr-Universität Bochum, NC7/72, 44780, Bochum, Germany aut NATIONALLICENCE 700 1- Havenith Martina Physikalische Chemie II, Ruhr-Universität Bochum, NC7/72, 44780, Bochum, Germany aut NATIONALLICENCE 773 0- Journal of Infrared, Millimeter, and Terahertz Waves Springer US; http://www.springer-ny.com 32/5(2011-05-01), 699-715 1866-6892 32:5<699 2011 32 10762 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer