Articles | Volume 13, issue 2
https://doi.org/10.5194/jsss-13-167-2024
https://doi.org/10.5194/jsss-13-167-2024
Regular research article
 | 
09 Jul 2024
Regular research article |  | 09 Jul 2024

Extraction of nanometer-scale displacements from noisy signals at frequencies down to 1 mHz obtained by differential laser Doppler vibrometry

Dhyan Kohlmann, Marvin Schewe, Hendrik Wulfmeier, Christian Rembe, and Holger Fritze

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Cited articles

Atkinson, A.: Chapter 2 - Solid Oxide Fuel Cell Electrolytes – Factors Influencing Lifetime, in: Solid Oxide Fuel Cell Lifetime and Reliability, edited by: Brandon, N. P., Ruiz-Trejo, E., and Boldron P., Academic Press, 19–35, https://doi.org/10.1016/B978-0-08-101102-7.00002-7, 2017. 
Bishop, S. R.: Chemical expansion of solid oxide fuel cell materials: A brief overview, Acta Mech. Sin., 29, 312–317, https://doi.org/10.1007/s10409-013-0045-y, 2013. 
Bishop, S. R., Tuller, H. L., Kuru, Y., and Yildiz, B.: Chemical expansion of nonstoichiometric Pr0.1Ce0.9O2−δ: Correlation with defect equilibrium model, J. Eur. Ceram. Soc., 31, 2351–2356, https://doi.org/10.1016/j.jeurceramsoc.2011.05.034, 2011a. 
Bishop, S. R., Stefanik, T. S., and Tuller, H. L.: Electrical conductivity and defect equilibria of Pr0.1Ce0.9O2−δ, Phys. Chem. Chem. Phys., 13, 10165–10173, https://doi.org/10.1039/c0cp02920c, 2011b. 
Bishop, S. R., Marrocchelli, D., Chatzichristodoulou, C., Perry, N. H., Mogensen, M. B., Tuller, H. L., and Wachsman, E. D.: Chemical Expansion: Implications for Electrochemical Energy Storage and Conversion Devices, Ann. Rev. Mater. Res., 44, 205–239, https://doi.org/10.1146/annurev-matsci-070813-113329, 2014. 
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Short summary
A very small, anharmonic but periodic signal is separated from a noise background that is orders of magnitude larger than the pure signal. The approach consists of a sequence of filters and transformations and is demonstrated on an interferometric measurement of the high-temperature chemical expansion of a thin film, containing heat haze, thermal length drift, and parasitic vibrations. The displacement is 38 % larger and the uncertainty 35 % lower than when evaluated with previous approaches.
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