Unsaturated gain of spectral lines with a mixed broadening profile

About creation of population inversion in mixture of inert noble gas and metal vapor

“…As a result of the prediction of energy parameters of lasers emitting on new transitions it is shown that these lasers may become effective sources of radiation not only in visible but also in the infrared. 10 -9 10 -11 10 16 10 14 10 12 10 10 10 13 10 11 10 15 10 -10 for the following levels of thallium ion: 7 3 P 2 (curve 1), 7 3 P 1 (2), 7 3 P 0 (3), 6 3 D 3 (4), 6 3 D 2 (5) and 6 3 D 1 (6); (b) the dependences of the gain for the IR transitions: 7 3 P 2 -6 3 D 3 (curve 1), 7 3 P 1 -6 3 D 2 (2) and 7 3 P 0 -6 3 D 1 (3). …”

“…In this case the resultant gain profile represents a convolution of Lorentz and Gaussian functions and is described by integral Foygt function. Then, using [10], we will receive the formula for the center of the reduced gain profile (9) where…”

“…For CT, assuming that the values of the total unsaturated gain G ik as a function of can be obtained from (10) Using the relation (10) it is possible to find the maximum value of the unsaturated gain and its cor responding optimal concentration of electrons ( ) opt , which corresponds to the optimal value of the cur rent density from the surface of the hollow cathode j opt . For the PI can also write expressions like (6)-(10).…”