https://doi.org/10.1140/epjb/e2002-00413-5
Sum rules for arbitrary-order harmonic generation susceptibilities
Department of
Physics, University of Joensuu, PO Box 111, 80101
Joensuu, Finland
Corresponding author: a jarkko.saarinen@joensuu.fi
Received:
19
September
2002
Published online:
31
December
2002
Dispersion theory for harmonic generation susceptibilities is considered with the aid of complex analysis. New sum rules are obtained for the powers of arbitrary-order harmonic generation susceptibilities. The theory is based on the holomorphic properties and asymptotic behaviour of nonlinear susceptibilities. The present sum rules are reportedly important in nonlinear optical spectra analysis.
PACS: 42.65.-k – Nonlinear optics / 42.65.An – Optical susceptibility, hyperpolarizability / 42.65.Ky – Harmonic generation, frequency conversion
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2002
