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Multiply subtractive Kramers-Kroenig relations for arbitrary-order harmonic generation susceptibilities

Valerio Lucarini·Jarkko J. Saarinen·Kai-Erik Peiponen
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Abstract

Kramers-Kroenig (K-K) analysis of harmonic generation optical data is usually greatly limited by the technical inability to measure data over a wide spectral range. Data inversion for real and imaginary part of $χ^{n}(nω; ω, >... ,ω)$ can be more efficiently performed if the knowledge of one of the two parts of the susceptibility in a finite spectral range is supplemented with a single measurement of the other part for a given frequency. Then it is possible to perform data inversion using only measured data and subtractive K-K relations. In this paper multiply subtractive K-K relations are, for the first time, presented for the nonlinear harmonic generation susceptibilities. The applicability of the singly subtractive K-K relations are shown using data for third-order harmonic generation susceptibility of polysilane.

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Valerio Lucarini, Jarkko J. Saarinen, Kai-Erik Peiponen. 2003-02-01. Multiply subtractive Kramers-Kroenig relations for arbitrary-order harmonic generation susceptibilities. https://doi.org/10.1016/s0030-4018(03)01259-8

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