  A method of construction of solution for acoustic-gravity waves (AGW) above a
wave source, taking dissipation throughout the atmosphere into account
(Dissipative Solution above Source, DSAS), is proposed. The method is to
combine three solutions for three parts of the atmosphere: an analytical
solution for the upper isothermal part and numerical solutions for the real
non-isothermal dissipative atmosphere in the middle part and for the real
non-isothermal small dissipation atmosphere in the lower one. In this paper the
method has been carried out for the atmosphere with thermal conductivity but
without viscosity. The heights of strong dissipation and the total absorption
index in the regions of weak and average dissipation are found. For internal
gravity waves the results of test calculations for an isothermal atmosphere and
calculations for a real non-isothermal atmosphere are shown in graphical form.
An algorithm and appropriate code to calculate DSAS, taking dissipation due to
finite thermal conductivity into account throughout the atmosphere, are
developed. The results of test DSAS calculations for an everywhere isothermal
atmosphere are given. The calculation results for DSAS for the real
non-isothermal atmosphere are also presented. A method for constructing of the
2x2 Green's matrix fully taking dissipation into account and allowing to find
disturbance from some source of AGW in the atmosphere is proposed.
