A rapidly converging atomic physics method and medium to calculate complex non-equilibrium radiative properties of matter with spectroscopic precision.

摘要

A rapidly converging atomic physics method and medium to calculate complex non-equilibrium radiative properties of matter and spectral distributions with spectroscopic precision.;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 {α(1)}...{α(M)}, 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 {α(1)}...{α(M)} are lumped together to create one level for each manifold {α(β)}, 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 Wαjk and Wkαj(note, that αj is the level number in RS of the manifold {α} 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 Iω=∑j=1N∑i=1Nℏ⁢ωji4⁢π⁢nj⁢Aji⁢ϕjiω of each level j ("κ" is the iteration index)