TRANSFORMATIONS BETWEEN HALF-RANGE AND FULL-RANGE ANGULAR EXPANSIONS AND THE TRANSPORT PROBLEM
Technical Report
·
OSTI ID:4756201
Transformati ons were derived which relate the expansion coefficients of an arbitrary function f( omega ) represented in terms of a complete set of functions orthogonal over in terms of the members of a pair of such sets orthogonal over (-1,0) and (0,+1). The expansion sets were then specialized to full-range and half-range polynomials, and the results used to obtain a general expression for the angularly reduced scattering integral in the double-P representation of the one-dimensional transport equation. The reduction of the scattering integral is illustrated for the cases of scattering without deflection and isotropic scattering. General formulas for obtaining representations of the transformation matrices are given. (auth)
- Research Organization:
- Westinghouse Electric Corp. Bettis Atomic Power Lab., Pittsburgh
- DOE Contract Number:
- AT(11-1)-GEN-14
- NSA Number:
- NSA-17-005206
- OSTI ID:
- 4756201
- Report Number(s):
- WAPD-T-1305
- Country of Publication:
- United States
- Language:
- English
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