dorsal/arxiv
View SchemaLight propagation in a horizontally homogeneous Lambertian foliage: Analytically solvable models
| Authors | Antoine Royer, Sophie Royer |
|---|---|
| Categories | |
| ArXiv ID | physics/0505122 |
| URL | https://arxiv.org/abs/physics/0505122 |
Abstract
Various numerical methods exist for obtaining the radiances inside a canopy of leaves above a partly reflecting ground. In view of testing the accuracy of these diverse methods, it is desirable to have at one's disposal non-trivial models possessing analytical solutions, against which to compare numerical reuslts. Such models are obtained in the present paper, for the case of a horizontally homogeneous foliage of Lambertian leaves, modeled as a turbid medium. Our treatment is more general than usual in that we allow the top and under sides of leaves to have different optical coefficients. Besides being more realistic, this enables artificial situations, such as extreme light trapping, testing the limits of various numerical methods.
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"date_created": "2026-03-02T18:00:57.234000Z",
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"abstract": "Various numerical methods exist for obtaining the radiances inside a canopy\nof leaves above a partly reflecting ground. In view of testing the accuracy of\nthese diverse methods, it is desirable to have at one\u0027s disposal non-trivial\nmodels possessing analytical solutions, against which to compare numerical\nreuslts. Such models are obtained in the present paper, for the case of a\nhorizontally homogeneous foliage of Lambertian leaves, modeled as a turbid\nmedium. Our treatment is more general than usual in that we allow the top and\nunder sides of leaves to have different optical coefficients. Besides being\nmore realistic, this enables artificial situations, such as extreme light\ntrapping, testing the limits of various numerical methods.",
"arxiv_id": "physics/0505122",
"authors": [
"Antoine Royer",
"Sophie Royer"
],
"categories": [
"physics.comp-ph",
"physics.optics"
],
"title": "Light propagation in a horizontally homogeneous Lambertian foliage: Analytically solvable models",
"url": "https://arxiv.org/abs/physics/0505122"
},
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