dorsal/arxiv
View SchemaLight Propagation in Turbulent Media
| Authors | Dario G. Perez |
|---|---|
| Categories | |
| ArXiv ID | physics/0307144 |
| URL | https://arxiv.org/abs/physics/0307144 |
Abstract
First, we make a revision of the up-to-date Passive Scalar Fields properties: also, the refractive index is among them. Afterwards, we formulated the properties that make the family of `isotropic' fractional Brownian motion (with parameter H) a good candidate to simulate the turbulent refractive index. Moreover, we obtained its fractal dimension which matches the estimated by Constantin for passive scalar, and thus the parameter H determines the state of the turbulence. Next, using a path integral velocity representation, with the Markovian model, to calculate the effects of the turbulence over a system of grids. Finally, with the tools of Stochastic Calculus for fractional Brownian motions we studied the ray-equation coming from the Geometric Optics in the turbulent case. Our analysis covers those cases where average temperature gradients are relevant.
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"date_created": "2026-03-02T18:00:46.505000Z",
"date_modified": "2026-03-02T18:00:46.505000Z",
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"abstract": "First, we make a revision of the up-to-date Passive Scalar Fields properties:\nalso, the refractive index is among them. Afterwards, we formulated the\nproperties that make the family of `isotropic\u0027 fractional Brownian motion (with\nparameter H) a good candidate to simulate the turbulent refractive index.\nMoreover, we obtained its fractal dimension which matches the estimated by\nConstantin for passive scalar, and thus the parameter H determines the state of\nthe turbulence.\n Next, using a path integral velocity representation, with the Markovian\nmodel, to calculate the effects of the turbulence over a system of grids.\n Finally, with the tools of Stochastic Calculus for fractional Brownian\nmotions we studied the ray-equation coming from the Geometric Optics in the\nturbulent case. Our analysis covers those cases where average temperature\ngradients are relevant.",
"arxiv_id": "physics/0307144",
"authors": [
"Dario G. Perez"
],
"categories": [
"physics.optics",
"physics.ao-ph",
"physics.data-an",
"physics.flu-dyn"
],
"title": "Light Propagation in Turbulent Media",
"url": "https://arxiv.org/abs/physics/0307144"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "36631fc7-8ece-4bed-bef5-f5a054056706",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
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