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

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 ${\chi }^n(n\omega ;\omega ,>...,\omega )$ 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.

11 pages, 2 BW figures

References in corpus (2)

• General Properties of Optical Harmonic Generation from a simple Oscillator Model
• Pump and Probe nonlinear processes: new modified sum rules from a simple oscillator model

Cited by in corpus (3)

• Detection and correction of the misplacement error in THz Spectroscopy by application of singly subtractive Kramers-Kronig relations
• Multiply subtractive generalized Kramers-Kronig relations: application on third harmonic generation susceptibility on polysilane
• Verification of generalized Kramers-Kronig relations and sum rules on experimental data of third harmonic generation susceptibility on polymers