Kinetic modelling of the long pulse mode in metal vapor active media
Anton Kulagin, Stanislav Torgaev, Maxim Trigub
Tomsk Polytechnic University, V.E. Zuev Institute of Atmospheric Optics SB RAS, Tomsk, Russian Federation
DS
Dmitry Shmelev
2020-09-22 15:04
Good afternoon! How were the reaction rates and diffusion coefficients calculated in the equation on page 3?
AK
Author
Anton Kulagin
2020-09-22 15:04
Dmitry Shmelev 2020-09-22 12:58
Good afternoon! How were the reaction rates and diffusion coefficients calculated in the equation on page 3?
The rates of the most of the electron impact reactions were calculated using the Grysinski theory [Grysinski M. Classical Theory of Atomic Collisions. I. Theory of inelastic collisions. // Phys. Rev. A. – 1965. – V.138. – №2. – pp. 336-358.]. Some of the rates were taken from experimental works.
Note that the simplier Mewe formula [Mewe R. - Astronomy & Astrophysics, 1972, vol. 20, p. 265-227.] yields close results for the electrical dipole transitions (but not for quadrupole!).
The unknown ionization rates can be calculated using Lotz formula [Lotz W. - Astrophys. J. Suppl., 1967, vol. 15, p. 207-214.] and the triple recombination rate to the highest accounted excitation level was calculated using the approach, which is decribed, for example, in [A. V. GUREVICH and L. P. PITAEVSKii. RECOMBINATION COEFFICIENT IN A DENSE LOW-TEMPERATURE PLASMA // SOVIET PHYSICS JETP. VOLUME 19, NUMBER 4. OCTOBER, 1964].
The diffusion rate for the metal in the buffer gas is given by the formula from the paper [Chen Li, Mao BangNing, Wang YuBo, Wang LiMing, Pan BaiLiang. A kinetic model for alternate oscillation of self-terminating and recombination lasers in strontium ions. // Optics Communications. - Vol. 281. P. 1211-1216 (2008)]. The diffusion rate for the neon was given in a number of works (e.g. see [M.J. Kushner, B.E. Warner. J. Appl Phys. 54 (6), June 1983]).
DS
Dmitry Shmelev
2020-09-22 15:28
Thank you for so detailed answer!