With the need to achieve high performance in the Future Circular Lepton Collider, vibrations must be considered with precision. A method has been developed to reconstruct displacements from two-dimensional power spectral density data through inverse Fourier transformation. The mechanical support of the booster magnet was also taken into account. The reconstructed displacements were applied to the study of beam emittance and beam centroid motion of the booster in operation mode Z during the flattop regime to demonstrate the applicability of the method. The method was shown to be suitable for iterative design in both aspects of the beam transport system and the mechanical support.
LEDA