dorsal/arxiv
View SchemaMultimode Squeezing Properties of a Confocal Opo: Beyond the Thin Crystal Approximation
| Authors | Laurent Lopez, Sylvain Gigan, Nicolas Treps, Agnès Maitre, Claude Fabre, Alessandra Gatti |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0503055 |
| URL | https://arxiv.org/abs/quant-ph/0503055 |
| DOI | 10.1103/PhysRevA.72.013806 |
Abstract
Up to now, transverse quantum effects (usually labelled as "quantum imaging" effects) which are generated by nonlinear devices inserted in resonant optical cavities have been calculated using the "thin crystal approximation", i.e. taking into account the effect of diffraction only inside the empty part of the cavity, and neglecting its effect in the nonlinear propagation inside the nonlinear crystal. We introduce in the present paper a theoretical method which is not restricted by this approximation. It allows us in particular to treat configurations closer to the actual experimental ones, where the crystal length is comparable to the Rayleigh length of the cavity mode. We use this method in the case of the confocal OPO, where the thin crystal approximation predicts perfect squeezing on any area of the transverse plane, whatever its size and shape. We find that there exists in this case a "coherence length" which gives the minimum size of a detector on which perfect squeezing can be observed, and which gives therefore a limit to the improvement of optical resolution that can be obtained using such devices.
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"abstract": "Up to now, transverse quantum effects (usually labelled as \"quantum imaging\"\neffects) which are generated by nonlinear devices inserted in resonant optical\ncavities have been calculated using the \"thin crystal approximation\", i.e.\ntaking into account the effect of diffraction only inside the empty part of the\ncavity, and neglecting its effect in the nonlinear propagation inside the\nnonlinear crystal. We introduce in the present paper a theoretical method which\nis not restricted by this approximation. It allows us in particular to treat\nconfigurations closer to the actual experimental ones, where the crystal length\nis comparable to the Rayleigh length of the cavity mode. We use this method in\nthe case of the confocal OPO, where the thin crystal approximation predicts\nperfect squeezing on any area of the transverse plane, whatever its size and\nshape. We find that there exists in this case a \"coherence length\" which gives\nthe minimum size of a detector on which perfect squeezing can be observed, and\nwhich gives therefore a limit to the improvement of optical resolution that can\nbe obtained using such devices.",
"arxiv_id": "quant-ph/0503055",
"authors": [
"Laurent Lopez",
"Sylvain Gigan",
"Nicolas Treps",
"Agn\u00e8s Maitre",
"Claude Fabre",
"Alessandra Gatti"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.72.013806",
"title": "Multimode Squeezing Properties of a Confocal Opo: Beyond the Thin Crystal Approximation",
"url": "https://arxiv.org/abs/quant-ph/0503055"
},
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