Estimation of internal source distributions using external field measurements in radiative transfer

by Richard Ernest Bellman, H. H. Natsuyama, Robert E. Kalaba


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A finite homogeneous slab which absorbs radiation and scatters it isotropically possesses internal isotropic sources of radiation. The authors first show how to determine the intensity of the emergent radiation, making use of invariant imbedding techniques, and then show how to determine the distribution of the internal sources that best accounts for an observed emergent radiation pattern. This inverse problem is viewed as a nonlinear two-point boundary value problem which can be resolved numerically using quasilinearization. 20 pp. Bibliog.

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