摘要 |
The invention concerns a method for efficiently performing a complex spectral distribution of a radiation source by determining populations of matter in atomic levels, the method comprising: using a computer to perform the following: considering an exact atomic system (up to the fine structure level or even above) containing multiple excited levels "j" belonging to M manifolds {alpha(1)}...{alpha(Mu)}, numerous ground and single excited levels "k", and corresponding transition matrix elements, performing a reduced system RS from the exact atomic system wherein all j-levels belonging to the manifolds {alpha(1)}...{alpha(Mu)} are lumped together to create one level for each manifold {alpha(beta)} comprising of all possible methods for generalizing the manifold definition, performing an Independent Recovery System of Equations IRSE containing j recovery systems computed from the exact atomic system, each recovery system comprising, instead of all j levels, a level j and a level mj obtained by lumping together all levels from the manifolds, except the j-level itself, calculating transition matrix elements Walphajk and Wkalphaj (note, that alphaj is the level number in RS of the manifold {a} to which j belongs) of RS to determine populations nk of all levels k, for each recovery system, calculating transition matrix elements Wmjk, Wkmj, Wmjj and Wjmj from nk to determine a non-statistical excited populations nj (k) of each level j ("kappa" is the iteration index). |