Single-ionization of helium at Ti:sapphire wavelengths: rates and scaling laws

Jonathan Parker, Karen Cairns, G.A. McKenna, Kenneth Taylor

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)


We present a numerical and theoretical study of intense-field single-electron ionization of helium at 390 nm and 780 nm. Accurate ionization rates (over an intensity range of (0.175-34) X10^14 W/ cm^2 at 390 nm, and (0.275 - 14.4) X 10^14 W /cm^2 at 780 nm) are obtained from full-dimensionality integrations of the time-dependent helium-laser Schroedinger equation. We show that the power law of lowest order perturbation theory, modified with a ponderomotive-shifted ionization potential, is capable of modelling the ionization rates over an intensity range that extends up to two orders of magnitude higher than that applicable to perturbation theory alone. Writing the modified perturbation theory in terms of scaled wavelength and intensity variables, we obtain to first approximation a single ionization law for both the 390 nm and 780 nm cases. To model the data in the high intensity limit as well as in the low, a new function is introduced for the rate. This function has, in part, a resemblance to that derived from tunnelling theory but, importantly, retains the correct frequency-dependence and scaling behaviour derived from the perturbative-like models at lower intensities. Comparison with the predictions of classical ADK tunnelling theory confirms that ADK performs poorly in the frequency and intensity domain treated here.
Original languageEnglish
Article number008
Pages (from-to)1729-1743
Number of pages15
JournalJournal of Physics B: Atomic Molecular and Optical Physics
Issue number10
Publication statusPublished - 28 May 2007

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Physics and Astronomy(all)


Dive into the research topics of 'Single-ionization of helium at Ti:sapphire wavelengths: rates and scaling laws'. Together they form a unique fingerprint.

Cite this