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T_g(x,y,z) = T_{ref}(x,y) + \int_{z_{ref}}^z G_T(x,y,z) dz

T(t, z) = T_{srf}s + \frac{j_z}{\lambda_e} (z-z_{srf}s) + T_A \, \exp \biggleft[ \, {(z_{srf}s-z}) \sqrt{\frac{\pi}{a_e \, \delta_T}} \, \biggleft] \, \cos \biggright[  \, 2 \pi \frac{t - t_{min}}{\delta_T} + (z_{srf}s -z) \sqrt {\frac{\pi}{a_e \, \delta_T}} \, \biggright]

G_T(x, y, z) =\frac{d T_g}{d z}= \frac{j_z(x,y,z)}{\lambda_e}