Multiply subtractive generalized Kramers-Kronig relations: application on third harmonic generation susceptibility on polysilane
arXiv:cond-mat/0306139 · doi:10.1063/1.1623477
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.
arXiv comment14 pages, 2 figures
References in corpus (3)
- Multiply subtractive Kramers-Kroenig relations for arbitrary-order harmonic generation susceptibilities
- General Properties of Optical Harmonic Generation from a simple Oscillator Model
- Verification of generalized Kramers-Kronig relations and sum rules on experimental data of third harmonic generation susceptibility on polymers