Abstract
Reconstruction of attosecond beating by interference of two-photon transitions (RABBITT) is a technique that can be used to determine the phases of atomic transition elements in photoionization processes. In the traditional RABBITT scheme, the so-called asymptotic approximation considers the measured phase as a sum of the Wigner phase linked to a single-photon ionization process and the continuum-continuum phase associated with further single-photon transitions in the continuum. In this paper, we extend the asymptotic approximation to multi-sideband RABBITT schemes. The predictions from this approximation are then compared with results obtained by an ab initio calculation based on solving the time-dependent Schr\"odinger equation for atomic hydrogen.
Highlights
The reconstruction of attosecond beating by interference of two-photon transitions (RABBITT) technique was originally introduced for the temporal characterization of attosecond pulse trains (APTs) produced via high-order harmonic generation (HHG) [1]
In the traditional RABBITT scheme, only one sideband is formed between two consecutive harmonic peaks
We studied the formation of sidebands and their oscillations in the 3-SB RABBITT scheme
Summary
The reconstruction of attosecond beating by interference of two-photon transitions (RABBITT) technique was originally introduced for the temporal characterization of attosecond pulse trains (APTs) produced via high-order harmonic generation (HHG) [1]. The Wigner-like phase shift η originates from XUV-driven bc-transition processes, while the cc-transition phase φcc is associated with additional absorption and emission of a probe photon by the photoelectron This relation is well accepted and was derived by Dahlström et al [11] using the “asymptotic approximation,” in which the asymptotic form of the scattering wave function is used to calculate the two-photon ionization amplitude. We introduce a decomposition approximation by extending the asymptotic approximation to higher-order matrix elements as mentioned by Dahlström et al [17] This decomposition approximation leads to the interpretation that the final RABBITT phase is built up from the phases of stepwise transitions of the photoelectron, i.e., first the XUV-induced bc transition, and subsequent cc transitions, each involving a single IR photon. We finish with a summary and an outlook regarding potential consequences for future experiments
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