Abstract
The experimental development of powerful coherent short wavelength sources, both from X-ray laser devices or from higher-order harmonics, enables now a wide range of possible applications1. A particular promising branch might be the performance of multi-photon bound-bound absorption experiments in inner-shells of heavy atoms or in highly-charged ions. Considerably more information could be obtained than in traditional (single-photon) X-ray absorption spectroscopy and related techniques. For example, two-photon ionization of Argon in the XUV frequency range has already been reported2. In this regime the usual non-relativistic dipole treatment of the atom-field interaction loses its validity. By considering the two-photon transitions from the |1s〉 ground state to the |3d〉 exited state of hydrogenic systems, meaning |12 S 1/2〉 → |32 D 3/2〉;|32 D 5/2〉, both for linear and circular polarization, we discuss here, as a test case, in Dirac’s relativistic theory the influence of the relativistic fine structure and the retardation of the field.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
see, for instance, “High-field interactions and short-wavelength generation”, ed. by H. Milchberg and R. Freeman, special issue of J. Opt. Soc. Am. B13, 51:222 (1996); B13, 314:468 (1996).
D. Xenakis, O. Faucher, D. Charalambidis, and C. Fotakis, “Observation of two-XUV-photon ionization using harmonic generation from a short, intense laser pulse”, J. Phys. B 29, L457: L463 (1996).
C. Szymanowski, V. Véniard, R. Taleb, and A. Maquet, “Two-photon transitions in hydrogenic atoms via a Sturmian basis for the Dirac Coulomb Green’s function”, Europhys. Lett. 37, 391: 396 (1997).
S. A. Zapryagaev and N. L. Manakov, “Primenenie funkcii grina uravneniya diraka k issledovaniyu relyativistskich i korrelyacionnych effektov v mnogozaryadnych ionach”, Izv. Akad. Nauk SSSR 45, 2336:2353 (1981); S. A. Zapryagaev, N. L. Manakov, and V. G. Pal’chikov. “Teoriya mnogozaryaryadnych ionov c odnim i dvumya elektronami”, Energroatomizdat, Moscow (1985).
C. Szymanowski, V. Véniard, R. Taïeb, and A. Maquet, “Relativistic calculation of two-photon bound-bound transitions amplitudes in hydrogenic atoms”, Phys. Rev. A 56, 700: 711 (1997).
A. Ron, I. B. Goldberg, J. Stein, S. T. Manson, R. H. Pratt and R. Y. Yin, “Relativistic, retardation and multipole effects in photoionization cross sections: Z, n, and 1 dependence”, Phys. Rev. A 50, 1312: 1320 (1994).
A. Costescu, P. M. Bergstrom, Jr., C. Dinu, and R. H. Pratt, “Retardation and multipole effects in Rayleigh scattering by hydrogelike ions at low and x-ray photon energies”, Phys. Rev. A 50, 1390: 1398 (1994).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer Science+Business Media New York
About this chapter
Cite this chapter
Szymanowski, C., Véniard, V., Taïeb, R., Maquet, A. (1998). Influence of Relativistic Structure and Retardation in Two-Photon Transitions in Hydrogenic Systems. In: DiMauro, L., Murnane, M., L’Huillier, A. (eds) Applications of High-Field and Short Wavelength Sources. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9241-6_38
Download citation
DOI: https://doi.org/10.1007/978-1-4757-9241-6_38
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-9243-0
Online ISBN: 978-1-4757-9241-6
eBook Packages: Springer Book Archive