Invariant Imbedding and a Resolvent of the Photon-Diffusion Equation
Abstract
In the study of radiative transfer, the classical Boltzmann-type approach focuses attention on the statistical behavior of the particles within the medium. There are, however, analytical and computational advantages in the invariant-imbedding approach, which leads to the determination of the diffusely reflected and transmitted intensities in slab geometry. In the present paper it is shown that the invariant-imbedding technique is also extremely useful for the study of the internal intensity of radiation in a finite, homogeneous, flat layer. In other words, the technique provides us directly with a complete solution of scattering problems of light in a finite plane-parallel atmosphere.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1964
- Accession Number
- AD0437813
Entities
People
- Richard E. Bellman
- Robert E. Kalaba
- Sueo Ueno
Organizations
- RAND Corporation