Matrix continued-fraction solution for saturation effects in spin-½ radio-frequency spectroscopy
- 1 February 1977
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 15 (2) , 718-726
- https://doi.org/10.1103/physreva.15.718
Abstract
We present a semiclassical solution for a Zeeman-split, optically pumped, spin-½ system interacting with a strong radio-frequency field. The method of solution presented here is based upon a matrix continued-fraction expansion, and can explain any resonance phenomena which occur for arbitrary geometrical configurations of the pumping beam or the rf field polarization axis. Theoretical predictions of line shapes for some cases are reported and discussed. The solution can also explain some deviations of the observed Bloch-Siegert shift at high rf power from the behavior predicted by a previous semiclassical theory, which can account for simple geometrical configurations only.Keywords
This publication has 14 references indexed in Scilit:
- Interaction between a spin-1/2 atom and a strong rf fieldPhysical Review A, 1974
- Saturation effects in magnetic resonances for a general magnetic field configurationJournal of Physics B: Atomic and Molecular Physics, 1974
- Mixture of Longitudinal Resonance and Transverse ResonaceJournal of the Physics Society Japan, 1974
- Saturation effects in RF spectroscopy. IV. Transverse pumping and Haroche's resonancesJournal of Physics B: Atomic and Molecular Physics, 1973
- Competition of the longitudinal resonance and the transverse resonancePhysics Letters A, 1973
- Saturation effect in RF spectroscopy of transverse optical pumpingJournal of Physics B: Atomic and Molecular Physics, 1973
- Misalignment effects in magnetic resonanceJournal of Physics B: Atomic and Molecular Physics, 1973
- Saturation effects in RF spectroscopy. I. General theoryJournal of Physics B: Atomic and Molecular Physics, 1972
- Saturation effects in RF spectroscopy. II. Multiple quantum transitionsJournal of Physics B: Atomic and Molecular Physics, 1972
- Resonance induite par un champ de radiofrequence parallele au champ statique generalisation de l'effet HanlePhysics Letters, 1964