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z_N = z_s + H_N

H_N = \sqrt{\frac{a_e \, \deltaA_T }{\pi}} \, \ln \frac{\delta T_A }{\delta T_{cut} }

T_g(l) = T_n + \int_{z_n}^z G_T(z) dz

T(t, z) = T_s + \frac{j_z}{\lambda_e} (z-z_s) + T_Y(t, z) + T_D(t, z)

G_T(z) =\frac{d T_g}{d z}= \frac{j_z}{\lambda_r}

T_A(t,z) = \delta T_A \, \exp \left[ \, {(z_s-z}) \sqrt{\frac{\pi}{a_e \, A_T}} \, \right] \, \cos \left[  \, 2 \pi \frac{t - \delta t_A}{A_T} + (z_s -z) \sqrt {\frac{\pi}{a_e \, A_T}} \, \right]

T_D(t,z) = \delta T_D \, \exp \left[ \, {(z_s-z}) \sqrt{\frac{\pi}{a_e \, AD_DT}} \, \right] \, \cos \left[  \, 2 \pi \frac{t - \delta t_D}{D_T} + (z_s -z) \sqrt {\frac{\pi}{a_e \, D_T}} \, \right]