Sum rules for arbitrary-order harmonic generation susceptibilities |
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| Authors: | J.J. Saarinen |
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| Affiliation: | (1) Department of Physics, University of Joensuu, PO Box 111, 80101 Joensuu, Finland, FI |
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| Abstract: | 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. Received 19 September 2002 Published online 31 December 2002 |
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| Keywords: | PACS. 42.65.-k Nonlinear optics – 42.65.An Optical susceptibility, hyperpolarizability – 42.65.Ky Harmonic generation, frequency conversion |
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