In this paper we have investigated three wave interaction analytically for stimulated Raman back-scattering in resonance
and non-resonance conditions in an under dense plasma. We have solved equations by similarity transformations and
have found self similar solutions. It has been shown that by increasing time, maximum of amplified pulse increase
constantly while the duration decrease inversely. Effects of initial seed pulse’s amplitude and detuning parameter have
been investigated.
KEYWORDS: Ions, Plasma, Systems modeling, Laser systems engineering, Temperature metrology, Ionization, Hydrogen, Chemical species, Oscillators, Physics
Population densities for the excited levels of hydrogen-like ions in an optically thin plasma have been calculated in
order to investigate the appropriate conditions for the generation of population inversion by recombination and
subsequent development of gain in laser systems. To achieve this goal, collisional-radiative model in a range of electron
temperature of 4000Z2 - 256000Z20K and electron density of 108 Z7 - 1018 Z7 cm-3 is used. In addition, the inversion
threshold temperature is introduced and used in characteristic graphs which helps to identify the inversion conditions.
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