Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Generalizations of the R-Matrix Method to the Treatment of the Interaction of Short Pulse Electromagnetic Radiation with Atoms

Version 1 : Received: 25 January 2022 / Approved: 26 January 2022 / Online: 26 January 2022 (13:01:07 CET)

A peer-reviewed article of this Preprint also exists.

Schneider, B.I.; Hamilton, K.R.; Bartschat, K. Generalizations of the R-Matrix Method to the Treatment of the Interaction of Short-Pulse Electromagnetic Radiation with Atoms. Atoms 2022, 10, 26. Schneider, B.I.; Hamilton, K.R.; Bartschat, K. Generalizations of the R-Matrix Method to the Treatment of the Interaction of Short-Pulse Electromagnetic Radiation with Atoms. Atoms 2022, 10, 26.

Abstract

Since its initial development in the 1970’s by Phil Burke and his collaborators, the R-matrix theory and associated computer codes have become the de facto approach for the calculation of accurate data for general electron-atom/ion/molecule collision and photoionization processes. The use of a non-orthonormal set of orbitals based on B-splines, now called the B-spline R-matrix (BSR) approach, was pioneered by Zatsarinny. It has considerably extended the flexibility of the approach and improved particularly the treatment of complex many-electron atomic and ionic targets, for which accurate data are needed in many modelling applications for processes involving low-temperature plasmas. Both the original R-matrix approach and the BSR method have been extended to the interaction of short, intense electromagnetic (EM) radiation with atoms and molecules. Here we provide an overview of the theoretical tools that were required to facilitate the extension of the theory to the time domain. As an example of a practical application, we show results for two-photon ionization of argon by intense short-pulse extreme ultraviolet radiation

Keywords

B-spline R-matrix; R-matrix with time dependence; intense short-pulse extreme ultra14 violet radiation; time-dependent Schrdinger equation; Arnoldi-Lanczos propagation

Subject

Physical Sciences, Atomic and Molecular Physics

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