# Interpretation of the In and Out Field in the solution of ${\partial_\nu\partial^{\nu} A_\mu=4\pi j_\mu}$

In the solution of the wave equation for particles charged in motion given by $${\partial_\nu\partial^{\nu} A_\mu=4\pi j_\mu}$$ , we have a homogeneous solution given by $$\partial_\nu\partial^{\nu} A_\mu=0$$ and the other is a delayed or Wiechert potential, now in the case of the solution when $$t\rightarrow\infty$$ why the solution homogeneous Is it interpreted as an incident field?