Abstract
The Lifshitz theory provides a method to calculate the Casimir force between two flat plates if the frequency dependent dielectric function of the plates is known. In reality any plate is rough and its optical properties are known only to some degree. For high precision experiments the plates must be carefully characterized otherwise the experimental result cannot be compared with the theory or with other experiments. In this chapter we explain why optical properties of interacting materials are important for the Casimir force, how they can be measured, and how one can calculate the force using these properties. The surface roughness can be characterized, for example, with the atomic force microscope images. We introduce the main characteristics of a rough surface that can be extracted from these images, and explain how one can use them to calculate the roughness correction to the force. At small separations this correction becomes large as our experiments show. Finally we discuss the distance upon contact separating two rough surfaces, and explain the importance of this parameter for determination of the absolute separation between bodies.
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This correlation was not noted in [15] and stressed here for the first time.
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Acknowledgements
The research was carried out under Project No. MC3.05242 in the framework of the Strategic Research Programme of the Materials Innovation Institute M2i (the former Netherlands Institute for Metals Research NIMR) The authors benefited from exchange of ideas by the ESF Research Network CASIMIR.
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van Zwol, P.J., Svetovoy, V.B., Palasantzas, G. (2011). Characterization of Optical Properties and Surface Roughness Profiles: The Casimir Force Between Real Materials. In: Dalvit, D., Milonni, P., Roberts, D., da Rosa, F. (eds) Casimir Physics. Lecture Notes in Physics, vol 834. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20288-9_10
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