dorsal/arxiv
View SchemaMultiply subtractive Kramers-Kroenig relations for arbitrary-order harmonic generation susceptibilities
| Authors | Valerio Lucarini, Jarkko J. Saarinen, Kai-Erik Peiponen |
|---|---|
| Categories | |
| ArXiv ID | physics/0302001 |
| URL | https://arxiv.org/abs/physics/0302001 |
| DOI | 10.1016/S0030-4018(03)01259-8 |
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.
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"abstract": "Kramers-Kroenig (K-K) analysis of harmonic generation optical data is usually\ngreatly limited by the technical inability to measure data over a wide spectral\nrange. Data inversion for real and imaginary part of $\\chi^{n}(n\\omega; \\omega,\n\u003e... ,\\omega)$ can be more efficiently performed if the knowledge of one of the\ntwo parts of the susceptibility in a finite spectral range is supplemented with\na single measurement of the other part for a given frequency. Then it is\npossible to perform data inversion using only measured data and subtractive K-K\nrelations. In this paper multiply subtractive K-K relations are, for the first\ntime, presented for the nonlinear harmonic generation susceptibilities. The\napplicability of the singly subtractive K-K relations are shown using data for\nthird-order harmonic generation susceptibility of polysilane.",
"arxiv_id": "physics/0302001",
"authors": [
"Valerio Lucarini",
"Jarkko J. Saarinen",
"Kai-Erik Peiponen"
],
"categories": [
"physics.optics",
"cond-mat.mtrl-sci",
"physics.atom-ph",
"physics.chem-ph"
],
"doi": "10.1016/S0030-4018(03)01259-8",
"title": "Multiply subtractive Kramers-Kroenig relations for arbitrary-order harmonic generation susceptibilities",
"url": "https://arxiv.org/abs/physics/0302001"
},
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