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Kramers–Kronig relation in attosecond transient absorption spectroscopy

Version 2 2023-01-24, 17:36
Version 1 2023-01-24, 17:35
Posted on 2023-01-24 - 17:36
Kramers-Kronig relation (KKR) has a wide range of applications in extreme ultra-violet (XUV) and X-ray spectroscopy. However, the validity of KKR for many of these applications has not been systematically studied, while it is known to require careful attention in nonlinear and pump-probe experiments in optical domain spectroscopy. Here, we study the validity of KKR in XUV attosecond transient absorption spectroscopy (ATAS) pump-probe experiments both experimentally and theoretically using the argon Fano resonances as a case study. Experiments are enabled by a phase-resolved method dubbed Complex Attosecond Transient-absorption Spectroscopy (CATS). Although the estimations based on the rotating-wave approximation suggest that KKR violation could be expected in the studied case, our results validate KKR and provide a solid basis for its application in a broad range of attosecond spectroscopy experiments.

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AUTHORS (9)

Vyacheslav Leshchenko
Stephen J. Hageman
Coleman Cariker
Greg Smith
Antoine Camper
Bradford Kent Talbert
Pierre Agostini
Luca Argenti
Louis DiMauro

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