Abstract
The spherical interferometer was one of the key experiments for the determination of the Planck constant through the X-ray crystal density method and will be essential for the realization of the kilogram on the basis of the new definition. This experiment affords the volume value and currently reached a relative uncertainty of $7 \cdot 10^{-9}$ . Therefore, an optical simulation of the experimental setup was initiated and could reduce the erstwhile dominating the influence of the wavefront. The first results of spheres with low form aberration in the order of 50 nm were published. For the transfer of spheres with higher deviation from roundness, the impact of the form aberration on the volume value was investigated. Synthetic data of spheres with local deviations as well as measured data of spheres with more complex topography were simulated and evaluated in detail. A magnification of these particular deviations leads to a better comprehension of the dependence of the topography to the wavefront aberration.
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