R-matrix-Floquet theory of multiphoton processes: VIII. A linear equations method

D.H. Glass, P.G. Burke, H.W. Van Der Hart, C.J. Noble

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

A new linear equations method for calculating the R-matrix, which arises in the R-matrix-Floquet theory of multiphoton processes, is introduced. This method replaces the diagonalization of the Floquet Hamiltonian matrix by the solution of a set of linear simultaneous equations which are solved, in the present work, by the conjugate gradient method. This approach uses considerably less computer memory and can be readily ported onto parallel computers. It will thus enable much larger problems of current interest to be treated. This new method is tested by applying it to three-photon ionization of helium at frequencies where double resonances with a bound state and autoionizing states are important. Finally, an alternative linear equations method, which avoids the explicit calculation of the R-matrix by incorporating the boundary conditions directly, is described in an appendix.
Original languageEnglish
Pages (from-to)3801-3819
Number of pages19
JournalJournal of Physics B: Atomic, Molecular and Optical Physics
Volume30
Issue number17
DOIs
Publication statusPublished - 14 Sep 1997

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