dorsal/arxiv
View SchemaTTRG integration of light transport equations: Azymuthally integrated radiances inside a Lambertian foliage
| Authors | Sophie Royer, Antoine Royer |
|---|---|
| Categories | |
| ArXiv ID | physics/0505148 |
| URL | https://arxiv.org/abs/physics/0505148 |
Abstract
A method for numerically integrating transport equations, combining transfer matrices, transmission-reflection matrices, and Green's matrices (TTRG), was recently proposed. The present paper deals specifically with azymuthally integrated radiances inside a horizontally homogeneous canopy of Lambertian leaves. Its main purpose is to test the accuracy of TTRG by applying it to non-trivial models possessing analytical solutions, that were given in another paper. Comparison is made with the widely used iterative integration (or 'relaxation' method). Cases of extreme light trapping are given for which iterative integration is hardly practical, while TTRG remains as accurate and rapid.
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"abstract": "A method for numerically integrating transport equations, combining transfer\nmatrices, transmission-reflection matrices, and Green\u0027s matrices (TTRG), was\nrecently proposed. The present paper deals specifically with azymuthally\nintegrated radiances inside a horizontally homogeneous canopy of Lambertian\nleaves. Its main purpose is to test the accuracy of TTRG by applying it to\nnon-trivial models possessing analytical solutions, that were given in another\npaper. Comparison is made with the widely used iterative integration (or\n\u0027relaxation\u0027 method). Cases of extreme light trapping are given for which\niterative integration is hardly practical, while TTRG remains as accurate and\nrapid.",
"arxiv_id": "physics/0505148",
"authors": [
"Sophie Royer",
"Antoine Royer"
],
"categories": [
"physics.comp-ph",
"physics.bio-ph"
],
"title": "TTRG integration of light transport equations: Azymuthally integrated radiances inside a Lambertian foliage",
"url": "https://arxiv.org/abs/physics/0505148"
},
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