dorsal/arxiv
View SchemaGeneral Properties of Optical Harmonic Generation from a simple Oscillator Model
| Authors | F. Bassani, V. Lucarini |
|---|---|
| Categories | |
| ArXiv ID | physics/9812026 |
| URL | https://arxiv.org/abs/physics/9812026 |
| DOI | 10.1007/BF03185520 |
| Journal | IL Nuovo Cimento D Vol. 20, No. 7-8, Jul-Aug 1998 |
Abstract
The nonlinear oscillator model allows a basic understanding of all nonlinear processes and can be adopted to analyse optical vibrational modes and electronic transition in molecules and crystals, in order to derive general properties of harmonic generation to all orders. In particular, we obtain Kramers Kroenig relations and sum rules referred to all momenta of the susceptibility, and Miller's empirical rules to all orders. Since the above properties only depend on time causality and not on the specific microscopic model, they can be adopted for the quantum mechanical description, sustituting in the classical expression the derivatives of the potential with their expectation values.
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"abstract": "The nonlinear oscillator model allows a basic understanding of all nonlinear\nprocesses and can be adopted to analyse optical vibrational modes and\nelectronic transition in molecules and crystals, in order to derive general\nproperties of harmonic generation to all orders. In particular, we obtain\nKramers Kroenig relations and sum rules referred to all momenta of the\nsusceptibility, and Miller\u0027s empirical rules to all orders. Since the above\nproperties only depend on time causality and not on the specific microscopic\nmodel, they can be adopted for the quantum mechanical description, sustituting\nin the classical expression the derivatives of the potential with their\nexpectation values.",
"arxiv_id": "physics/9812026",
"authors": [
"F. Bassani",
"V. Lucarini"
],
"categories": [
"physics.optics",
"physics.atom-ph"
],
"doi": "10.1007/BF03185520",
"journal_ref": "IL Nuovo Cimento D Vol. 20, No. 7-8, Jul-Aug 1998",
"title": "General Properties of Optical Harmonic Generation from a simple Oscillator Model",
"url": "https://arxiv.org/abs/physics/9812026"
},
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