Whereas in the previous chapter we have derived the general solution of the homogeneous wave equation we now aim at solving the inhomogeneous wave equations for arbitrary sources \(\rho (\textbf{r};t)\) and \(\textbf{j}(\textbf{r};t)\) . To this aim we will use the method of Green’s functions that will lead to retarded potentials. The latter will be employed to calculate the electromagnetic radiation from moving point charges.

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Solutions of the Inhomogeneous Wave Equations

  • Wolfgang Cassing

摘要

Whereas in the previous chapter we have derived the general solution of the homogeneous wave equation we now aim at solving the inhomogeneous wave equations for arbitrary sources \(\rho (\textbf{r};t)\) and \(\textbf{j}(\textbf{r};t)\) . To this aim we will use the method of Green’s functions that will lead to retarded potentials. The latter will be employed to calculate the electromagnetic radiation from moving point charges.