Invariant imbedding and searchlight problem in turbid slab
type: Item
instance of: scholarly article
title: Invariant imbedding and searchlight problem in turbid slab
zbMATH Open document ID: 0739.45007
DOI: 10.1016/0898-1221(91)90101-9
author: Alan P. Wang
author: Sueo Ueno
publication date: 1992-06-26T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45G15
Mathematics Subject Classification ID: 65R20
zbMATH DE Number: 24475
zbMATH Keywords: laser beam
zbMATH Keywords: reflection of a narrow pencil of radiation
zbMATH Keywords: scattering atmosphere
zbMATH Keywords: computational complexity
zbMATH Keywords: radiative transfer
zbMATH Keywords: searchlight problem
zbMATH Keywords: invariant imbedding
zbMATH Keywords: Cauchy system
zbMATH Keywords: scattering function
zbMATH Keywords: nonlinear integro-differential equation
reviewed by: Laura Iulia Aniţa
MaRDI profile type: Publication
full work available at URL: 0898-1221(91)90101-9
OpenAlex ID: W2039240907
cites work: Q5796557
cites work: Invariant imbedding and time-dependent diffuse reflection of a pencil of radiation by a finite inhomogeneous flat layer. I
cites work: Cauchy system for the scattering function in the searchlight problem
cites work: The Probabilistic Method for Problems of Radiative Transfer. X. Diffuse Relfection and Transmission in a Finite Inhomogeneous Atmosphere.
published in: Computers & Mathematics with Applications
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description: scientific article; zbMATH DE number 24475