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Error from Delay Drift in Terahertz Attenuated Total Reflection Spectroscopy

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Abstract

In this article we discuss the influence of temporal stability on the value obtained for dielectric properties of materials measured by terahertz time-domain spectroscopy with particular emphasis on attenuated total reflection. The stability of three different terahertz attenuated total reflection spectroscopy systems is carefully characterized. The formalism for the complex refractive index extraction is presented and the effect of delay errors is calculated numerically. We found that good thermal stability of the terahertz system helps to minimize delay fluctuations and therefore the uncertainty of the resulting complex refractive index.

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References

  1. M Tonouchi. Cutting-edge terahertz technology. Nat. Photon., 1:97–105, 2007.

    Google Scholar 

  2. P U Jepsen, D G Cooke, and M Koch. Terahertz spectroscopy and imaging - modern techniques and applications. Laser Photon. Rev., 5:124–166, 2011.

    Google Scholar 

  3. C A Schmuttenmaer. Exploring dynamics in the far-infrared with terahertz spectroscopy. Chem. Rev., 104:1759–1779, 2004.

    Google Scholar 

  4. H Zhan, V Astley, M Hvasta, J A Deibel, D M Mittleman, and Y Lim. The metal-insulator transition in vo[sub 2] studied using terahertz apertureless near-field microscopy. Appl. Phys. Lett., 91:162110, 2007.

    Google Scholar 

  5. James Lloyd-Hughes and Tae-In Jeon. A review of the terahertz conductivity of bulk and nano-materials. Journal of Infrared, Millimeter, and Terahertz Waves, 33(9):871–925, 2012.

  6. John F Federici. Review of moisture and liquid detection and mapping using terahertz imaging. Journal of Infrared, Millimeter, and Terahertz Waves, 33(2):97–126, 2012.

  7. H W Hübers, S G Pavlov, H Richter, A D Semenov, L Mahler, A Tredicucci, H E Beere, and D A Ritchie. High-resolution gas phase spectroscopy with a distributed feedback terahertz quantum cascade laser. Appl. Phys. Lett., 89:061115, 2006.

  8. Kaori Fukunaga, Yuichi Ogawa, Shin’ichiro Hayashi, and Iwao Hosako. Terahertz spectroscopy for art conservation. IEICE Electronics Express, 4(8):258–263, 2007.

  9. R Gente, N Born, N Voß, W Sannemann, J Léon, M Koch, and E Castro-Camus. Determination of leaf water content from terahertz time-domain spectroscopic data. Journal of Infrared, Millimeter and Terahertz Waves, 34(3-4):316–323, 2013.

    Google Scholar 

  10. M Schwerdtfeger, E Castro-Camus, K Krügener, W Viöl, and M Koch. Beating the wavelength limit: three-dimensional imaging of buried subwavelength fractures in sculpture and construction materials by terahertz time-domain reflection spectroscopy. Applied Optics, 52(3):375–380, 2013.

    Google Scholar 

  11. N Vieweg, N Born, I Al-Naib, and M Koch. Electrically tunable terahertz notch filters. Journal of Infrared, Millimeter, and Terahertz Waves, 33(3):327–332, 2012.

    Google Scholar 

  12. Marco Rahm, Jiu-Sheng Li, and Willie J Padilla. Thz wave modulators: a brief review on different modulation techniques. Journal of Infrared, Millimeter, and Terahertz Waves, 34(1):1–27, 2013.

  13. CW Berry, N Wang, MR Hashemi, M Unlu, and M Jarrahi. Significant performance enhancement in photoconductive terahertz optoelectronics by incorporating plasmonic contact electrodes. Nature communications, 4:1622, 2013.

    Google Scholar 

  14. M B Johnston, D M Whittaker, A Corchia, A G Davies, and E H Linfield. Simulation of terahertz generation at semiconductor surfaces. Phys. Rev. B, 65:165301, 2002.

    Google Scholar 

  15. G Klatt, F Hilser, W Qiao, M Beck, R Gebs, A Bartels, K Huska, U Lemmer, G Bastian, M B Johnston, M Fischer, J Faist, and T Dekorsy. Terahertz emission from lateral photo-Dember currents. Opt. Express, 18:4939–4947, 2010.

    Google Scholar 

  16. A Nahata, A S Weling, and T F Heinz. A wideband coherent terahertz spectroscopy system using optical rectification and electro-optic sampling. Appl. Phys. Lett., 69:2321, 1996.

    Google Scholar 

  17. L Duvillaret, F Garet, and J-L Coutaz. Influence of noise on the characterization of materials by terahertz time-domain spectroscopy. J. Opt. Soc. Am. B-Opt. Phys., 17:452–461, 2000.

    Google Scholar 

  18. W Withayachumnankul, B M Fischer, H Y Lin, and D Abbott. Uncertainty in terahertz time-domain spectroscopy measurement. J. Opt. Soc. Am. B-Opt. Phys., 25:1059–1072, 2008.

    Google Scholar 

  19. J Xu, K W Plaxco, and S J Allen. Absorption spectra of liquid water and aqueous buffers between 0.3 and 3.72 thz. J. Chem. Phys., 124:036101, 2006.

    Google Scholar 

  20. M Heyden, J A Sun, S Funkner, G Mathias, H Forbert, M Havenith, and D Marx. Dissecting the thz spectrum of liquid water from first principles via correlations in time and space. Proc. Natl. Acad. Sci. U. S. A., 107:12068–12073, 2010.

  21. Benjamin Born and Martina Havenith. Terahertz dance of proteins and sugars with water. Journal of Infrared, Millimeter, and Terahertz Waves, 30(12):1245–1254, 2009.

    Google Scholar 

  22. J Xu, K W Plaxco, and S J Allen. Probing the collective vibrational dynamics of a protein in liquid water by terahertz absorption spectroscopy. Protein Sci., 15:1175–1181, 2006.

    Google Scholar 

  23. S Ebbinghaus, S J Kim, M Heyden, X Yu, U Heugen, M Gruebele, D M Leitner, and M Havenith. An extended dynamical hydration shell around proteins. Proc. Natl. Acad. Sci. U. S. A., 104:20749–20752, 2007.

    Google Scholar 

  24. U Heugen, G Schwaab, E Brundermann, M Heyden, X Yu, D M Leitner, and M Havenith. Solute-induced retardation of water dynamics probed directly by terahertz spectroscopy. Proc. Natl. Acad. Sci. U. S. A., 103:12301, 2006.

    Google Scholar 

  25. J Xu, K W Plaxco, and S J Allen. Collective dynamics of lysozyme in water: terahertz absorption spectroscopy and comparison with theory. J. Phys. Chem. B, 110:24255–24259, 2006.

    Google Scholar 

  26. Seung Joong Kim, Benjamin Born, Martina Havenith, and Martin Gruebele. Real-time detection of protein-water dynamics upon protein folding by terahertz absorption spectroscopy. Angewandte Chemie International Edition, 47(34):6486–6489, 2008.

  27. E Castro-Camus and M B Johnston. Conformational changes of photoactive yellow protein monitored by terahertz spectroscopy. Chem. Phys. Lett., 455:289–292, 2008.

    Google Scholar 

  28. Robert J Falconer and Andrea G Markelz. Terahertz spectroscopic analysis of peptides and proteins. Journal of Infrared, Millimeter, and Terahertz Waves, 33(10):973–988, 2012.

  29. C Ronne, L Thrane, P O Astrand, A Wallqvist, K V Mikkelsen, and S R Keiding. Investigation of the temperature dependence of dielectric relaxation in liquid water by thz reflection spectroscopy and molecular dynamics simulation. J. Chem. Phys., 107:5319, 1997.

    Google Scholar 

  30. L Thrane, RH Jacobsen, P Uhd Jepsen, and SR Keiding. Thz reflection spectroscopy of liquid water. Chemical Physics Letters, 240(4):330–333, 1995.

    Google Scholar 

  31. Atsushi Nakanishi, Yoichi Kawada, Takashi Yasuda, Koichiro Akiyama, and Hironori Takahashi. Terahertz time domain attenuated total reflection spectroscopy with an integrated prism system. Rev. Sci. Instrum., 83:033103, 2012.

  32. Masaya Nagai, Hiroyuki Yada, Takashi Arikawa, and Koichiro Tanaka. Terahertz time-domain attenuated total reflection spectroscopy in water and biological solution. International journal of infrared and millimeter waves, 27(4):505–515, 2006.

  33. Hideki Hirori, Kumiko Yamashita, Masaya Nagai, and Koichiro Tanaka. Attenuated total reflection spectroscopy in time domain using terahertz coherent pulses. Japanese journal of applied physics, 43:1287, 2004.

  34. D Y K Ko and J R Sambles. Scattering matrix-method for propagation of radiation in stratified media - attenuated total reflection studies of liquid-crystals. J. Opt. Soc. Am. A-Opt. Image Sci. Vis., 5:1863–1866, 1988.

  35. John F O’Hara, Withawat Withayachumnankul, and Ibraheem Al-Naib. A review on thin-film sensing with terahertz waves. Journal of Infrared, Millimeter, and Terahertz Waves, 33(3):245–291, 2012.

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Acknowledgments

We gratefully acknowledge funding by the German Federal Ministry of Economics and Technology through the project 61308462 and CONACyT through grant number 131931. Amin Soltani achnowledges funding by the German Academic Exchange Service.

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Correspondence to E. Castro-Camus.

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Soltani, A., Probst, T., Busch, S.F. et al. Error from Delay Drift in Terahertz Attenuated Total Reflection Spectroscopy. J Infrared Milli Terahz Waves 35, 468–477 (2014). https://doi.org/10.1007/s10762-014-0054-3

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  • DOI: https://doi.org/10.1007/s10762-014-0054-3

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