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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?

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