Invariant imbedding and searchlight problem in turbid slab (Q1179353)
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scientific article; zbMATH DE number 24475
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Invariant imbedding and searchlight problem in turbid slab |
scientific article; zbMATH DE number 24475 |
Statements
Invariant imbedding and searchlight problem in turbid slab (English)
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26 June 1992
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It is shown how to get analytically an initial-value solution of the scattering function in the searchlight problem which concerns the reflection of a narrow collimated beam, on the top of a vertically inhomogeneous and anisotropically scattering atmosphere, by the terrestrial surface. For the searchlight an invariant imbedding results in a Cauchy system of the scattering function in the Riccati-type of a nonlinear integro- differential equation with the initial condition. The mathematical model is constructed with large computer calculations and approximations.
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laser beam
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reflection of a narrow pencil of radiation
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scattering atmosphere
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computational complexity
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radiative transfer
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searchlight problem
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invariant imbedding
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Cauchy system
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scattering function
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nonlinear integro-differential equation
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0.86126643
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0.8492407
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0.8373522
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0.83217716
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0.8209073
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0.8199138
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0.81951076
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0.8140854
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