Convergent perturbation analysis of intense coherent multiphoton interactions
Abstract
Use has been made of flow graphs to deduce Feenberg perturbation expansions for radiative interactions. It is demonstrated that these expansions can in certain cases be summed to provide closed form expressions for the molecular response. In particular, it is shown that the coherent state response can be obtained by the summation of a continued fraction perturbation expansion for the harmonic oscillator. Anharmonicity in the lower levels is treated and its shown to introduce Rabi flopping identifiable with multiphoton transitions among isolated tightly coupled subsystems of levels. Relevance to laser induced multiphoton excitation and energy level shift calculations in the presence of a strong field are also discussed.
- Publication:
-
IEEE Journal of Quantum Electronics
- Pub Date:
- September 1979
- DOI:
- 10.1109/JQE.1979.1070142
- Bibcode:
- 1979IJQE...15..879G
- Keywords:
-
- Coherent Light;
- Electromagnetic Interactions;
- Molecular Excitation;
- Optical Transition;
- Perturbation Theory;
- Photons;
- Frequency Shift;
- Harmonic Oscillators;
- Line Spectra;
- Molecular Energy Levels;
- Transition Probabilities;
- Lasers and Masers