Alternative nonlinear-optical expansion and diagrammatic approach:Nth-order dephasing-induced effects
- 1 September 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 38 (6), 2921-2931
- https://doi.org/10.1103/physreva.38.2921
Abstract
We show that dephasing-induced nonlinear-optical effects whose amplitudes are proportional to trinomials of dephasing rates, +-, exist in all nonlinear orders of perturbation theory. To do this, we derive a new form for the perturbation expansion of the susceptibility, equivalent to the currently used expansion, but which writes each order as a sum of (1) terms due to single-sided diagrams, and (2) correction terms, all of which are proportional to trinomials of dephasing rates. The proof of this result utilizes a diagrammatic approach involving a new type of double-sided diagram for the latter terms. These diagrams immediately yield the terms proportional to trinomials of dephasing rates in all orders without the need for algebraic manipulation. This approach also reveals some general properties of the Nth-order susceptibility.
Keywords
This publication has 32 references indexed in Scilit:
- Observation of continuous-wave self-oscillation due to pressure-induced two-wave mixing in sodiumPhysical Review Letters, 1987
- Collision-aided self-focusing and self-defocusing in sodium vaporOptics Communications, 1987
- Collisionally Aided Coherent Emission at an Optical FrequencyPhysical Review Letters, 1987
- Two-wave mixing in sodium vapourJournal de Physique, 1986
- High-resolution studies of collision-induced population grating resonances in optical four-wave mixing in sodium vaporPhysical Review A, 1984
- High-resolution four-wave light-mixing studies of collision-induced coherence in Na vaporPhysical Review A, 1984
- Quantitative characteristics of pressure-induced degenerate frequency resonance in four-wave mixing with continuous-wave laser beamsOptics Letters, 1981
- Resonances between 'unpopulated levels' in non-linear opticsJournal of Physics B: Atomic and Molecular Physics, 1981
- Pressure-induced degenerate frequency resonance in four-wave light mixingOptics Letters, 1981
- Pressure-Induced Extra Resonances in Four-Wave MixingPhysical Review Letters, 1981