Multiply subtractive generalized Kramers-Kronig relations: application on third harmonic generation susceptibility on polysilane
Materials Science
2009-11-10 v1 Strongly Correlated Electrons
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.
Cite
@article{arxiv.cond-mat/0306139,
title = {Multiply subtractive generalized Kramers-Kronig relations: application on third harmonic generation susceptibility on polysilane},
author = {Valerio Lucarini and Jarkko J. Saarinen and Kei-Erik Peiponen},
journal= {arXiv preprint arXiv:cond-mat/0306139},
year = {2009}
}
Comments
14 pages, 2 figures