Invariant imbedding and radiation dosimetry. V. Finite order intensity of radiation in a target slab
Journal Article
·
· Math. Biosci., v. 18, no. 1/2, pp. 55-66
In a series of papers invariant imbedding was used to derive the integrodifferential and integral recurrence relations for the finite order scattering and transmission functions, the finite order X and Y functions, by which the diffusely reflected and transmitted irtensities of finite order scattered radiation can be numerically computed. Here, the Bellman-Krein-like recurrence relation is extended for the Fredholm resolvent to the derivation of a modified decomposition formula, showing how to express the internal intensities of finite order radiation in terms of the finite order X, Y, f, and g functions. Then, once the finite order X and Y functions have been determined by the use of the preceding methods, making use of the integral recurrence relations for the finite order f and g functions, the numerical solution of the finite order internal radiation field may be obtained. Hence the absorbed dose distribution of finite order gamma radiation and neutron beams can be directly computed. (auth)
- Research Organization:
- Univ. of Southern California, Los Angeles
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-29-006760
- OSTI ID:
- 4395511
- Journal Information:
- Math. Biosci., v. 18, no. 1/2, pp. 55-66, Journal Name: Math. Biosci., v. 18, no. 1/2, pp. 55-66; ISSN MABIA
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
Similar Records
Invariant imbedding and radiation dosimetry. VII. Finite order scattering and transmission functions of the two radiation approximations in a target slab
An invariant imbedding, orders-of-scattering approach to particle transport in a slab. Physical sciences research papers
INVARIANT IMBEDDING AND TIME-DEPENDENT DIFFUSE REFLECTION OF A PENCIL OF RADIATION BY A FINITE INHOMOGENEOUS FLAT LAYER. PART I
Journal Article
·
Fri Nov 30 23:00:00 EST 1973
· Math. Biosci., v. 18, no. 3-4, pp. 255-268
·
OSTI ID:4303670
An invariant imbedding, orders-of-scattering approach to particle transport in a slab. Physical sciences research papers
Technical Report
·
Mon Jan 12 23:00:00 EST 1976
·
OSTI ID:7333422
INVARIANT IMBEDDING AND TIME-DEPENDENT DIFFUSE REFLECTION OF A PENCIL OF RADIATION BY A FINITE INHOMOGENEOUS FLAT LAYER. PART I
Journal Article
·
Tue Oct 01 00:00:00 EDT 1963
· Journal of Mathematical Analysis and Applications (U.S.)
·
OSTI ID:4147904