Vol 2 - Landau, Lifshitz - The classical theory of fields (4th, 1994) (1) · Problem 9.2

Radiation of Electromagnetic Waves

Physics — Landau & Lifshitz · electric-dipole-radiation

Problem

Show that the time-averaged Poynting vector for electric dipole radiation is

\langle \mathbf{S} \rangle = \frac{\mu_0 p_0^2 \omega^4}{32 \pi^2 c} \frac{\sin^2\theta}{r^2} \hat{r}.