STOCHASTIC EQUATIONS IN RADIATIVE TRANSFER BY INVARIANT IMBEDDING METHOD
Journal Article
·
· J. Math. Anal. and Appl.
A derivation is given of the basic set of stochastic integro- differential equations for the probability distributions of photons from a plane- parallel inhomogeneous medium of finite optical thickness tau/sub 1/. Invariant imbedding techniques are used for the reflected and transmitted fluxes and for the probability distributions of the fluxes in one-dimensional neutron transport theory. The length of the rod is treated as an essential parameter of the process. In the case of internal fluxes, attention is focussed upon an interior point that has suppressed boundary-dependence. (N.W.R.)
- Research Organization:
- Univ. of Kyoto
- NSA Number:
- NSA-15-025397
- OSTI ID:
- 4017501
- Journal Information:
- J. Math. Anal. and Appl., Journal Name: J. Math. Anal. and Appl. Vol. Vol: 2
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
Similar Records
Invariant Imbedding and Variational Principles in Transport Theory
ON THE FUNDAMENTAL EQUATIONS OF INVARIANT IMBEDDING. PART I
The Application of Invariant Imbedding to Shielding Problems
Journal Article
·
Sat Jul 01 00:00:00 EDT 1961
· Bulletin of the American Mathematical Society (U.S.)
·
OSTI ID:4837545
ON THE FUNDAMENTAL EQUATIONS OF INVARIANT IMBEDDING. PART I
Journal Article
·
Tue Feb 28 23:00:00 EST 1961
· Proc. Natl. Acad. Sci. U.S.
·
OSTI ID:4058466
The Application of Invariant Imbedding to Shielding Problems
Technical Report
·
Thu Mar 08 23:00:00 EST 1962
·
OSTI ID:4801693