General properties of harmonic generation susceptibilities

F. Bassani; V. Lucarini

doi:10.1117/12.420960

23 March 2001 General properties of harmonic generation susceptibilities

F. Bassani, V. Lucarini

Proceedings Volume 4350, Laser Optics 2000: Solid State Lasers; (2001) https://doi.org/10.1117/12.420960
Event: Laser Optics 2000, 2000, St. Petersburg, Russian Federation

Abstract

We derive the asymptotic behavior of the n^th order harmonic generation susceptibility using the Kubo response function formalism: it is characterized by a (omega) ^-2n-2 dependence and a coefficient proportional to the trace of the (n+1)^th derivative of the potential energy on the equilibrium density matrix. Using this result and the analytical properties of the susceptibility considered we derive new Kramers-Kroenig relations and sum rules. The general properties obtained show a strict correspondence with those already obtained with the classical anharmonic oscillator model.

Citation Download Citation

F. Bassani and V. Lucarini "General properties of harmonic generation susceptibilities", Proc. SPIE 4350, Laser Optics 2000: Solid State Lasers, (23 March 2001); https://doi.org/10.1117/12.420960

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