Method of forming the a priori spectrum when reconstructing neutron spectra from the results of integral measurements

Activation Measurement of the Neutron Spectra of the BARS-5, IGRIK, and YAGUAR Reactors

“…99, No. 3, 2005 we rewrite system of equations (3) in the form (4) Here E k , k = 1, ..., L + 1 is a prescribed partitioning of the energy scale into subintervals (groups). We note that if S ik ≡ 1 in Eq.…”

“…To this end, it is suggested in [4][5][6] on the basis of a priori considerations concerning a typical reactor spectrum that a prescribed set of model functions be used.…”

N-spline reconstruction of neutron spectra on the basis of activation measurements

“…The many methods existing for finding a solution differ by the form and method of introduction of a priori information. Thus, together with the fact that the solution sought must be positive, the requirements that ϕ(E) be smooth and close to a certain trial function ϕ 0 (E), and so forth are often imposed [1][2][3][4].We note that a great deal of significance has always been attached at the All-Russia Research Institute of Theoretical Physics to the choice of the initial approximation for the neutron spectrum ϕ 0 (E). For this, it was calculated by the Monte Carlo method for each specific case of measurement of a neutron spectrum.…”

“…As a result, the uncertainty (or degeneracy) of the system is large. It has been proposed on the basis of a priori considerations concerning the typical reactor spectrum that a prescribed set of model functions or a piecewise representation of the neutron spectrum be used to decrease the number of parameters sought [4,5]. For Q E Ed E i N i i = = ∞ ∫ σ ϕ ( ) ( ) , ,..., , 0 1…”

“…The many methods existing for finding a solution differ by the form and method of introduction of a priori information. Thus, together with the fact that the solution sought must be positive, the requirements that ϕ(E) be smooth and close to a certain trial function ϕ 0 (E), and so forth are often imposed [1][2][3][4].…”