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Multiply subtractive generalized Kramers-Kronig relations: application on third harmonic generation susceptibility on polysilane

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

We present multiply subtractive Kramers-Kronig (MSKK) relations for the moments of arbitrary order harmonic generation susceptibility. Using experimental data on third-harmonic wave from polysilane, we show that singly subtractive Kramers-Kronig (SSKK) relations provide better accuracy of data inversion than the conventional Kramers-Kronig (K-K) relations. The fundamental reason is that SSKK and MSKK relations have strictly faster asymptotic decreasing integrands than the conventional K-K relations. Therefore SSKK and MSKK relations can provide a reliable optical data inversion procedure based on the use of measured data only.

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Valerio Lucarini, Jarkko J. Saarinen, Kei-Erik Peiponen. 2003-06-05. Multiply subtractive generalized Kramers-Kronig relations: application on third harmonic generation susceptibility on polysilane. https://doi.org/10.1063/1.1623477

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