Kramers-Kronig relations and sum rules for the second-harmonic susceptibility
- 15 March 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 51 (11) , 6925-6927
- https://doi.org/10.1103/physrevb.51.6925
Abstract
A set of Kramers-Kronig relations are obtained for the second-harmonic generation susceptibility (ω,ω). Together with the asymptotic behavior in the frequency variable they give a set of sum rules up to the fifth moment of the susceptibility.
Keywords
This publication has 18 references indexed in Scilit:
- Dispersion relation in the third-order electric susceptibility for polysilane filmPhysical Review Letters, 1993
- Sum Rules for Nonlinear Optical SusceptibilitiesPhysica Status Solidi (b), 1992
- Nonlinear optical spectroscopy on one-dimensional excitons in silicon polymer, polysilanePhysical Review Letters, 1992
- Kramers-Krönig relations in nonlinear opticsOptical and Quantum Electronics, 1992
- Dispersion relations and sum rules in nonlinear opticsPhysical Review B, 1991
- Room-Temperature Optical Nonlinearities in GaAsPhysical Review Letters, 1986
- Observation of the Resonant Optical Stark Effect in a SemiconductorPhysical Review Letters, 1985
- Band-Gap—Resonant Nonlinear Refraction in III-V SemiconductorsPhysical Review Letters, 1981
- Dispersion relations for third-degree nonlinear systemsPhysical Review B, 1974
- Causality and the Dispersion Relation: Logical FoundationsPhysical Review B, 1956