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Abstract

Multidimensional spectroscopy allows the time-resolved investigation of quantum-mechanical transitions in atoms and molecules. In this work, a broadband XUV grating spectrometer was designed for a multidimensional spectroscopy experiment. In this case, the position of the foci of the diffracted radiation from a reection grating is determined. These calculations are used as a basis for the construction of a detector system for simultaneous spectral measurements of pulses in the extreme ultraviolet (XUV) region immediately before and after their interaction with atoms. In the second part of this study, a quantum-mechanical simulation of multidimensional spectroscopy was performed on the basis of the one-dimensional, time-dependent Schrödinger equation. Three broadband XUV pulses were shifted with respect to one another and the interaction with a one-electron atom as a function of the relative time delays was examined. The simulation results were evaluated by means of a Fourier transformation along the two time-delay dimensions. Finally, the optical interference of the three-pulse sequence was calculated and compared to the quantum-mechanical simulations.