Vol 2 - Landau, Lifshitz - The classical theory of fields (4th, 1994) (1) · Problem 9.12

Radiation of Electromagnetic Waves

Physics — Landau & Lifshitz · radiation-power-angular-distribution

Problem

For electric dipole radiation, the power radiated per unit solid angle is

\frac{dP}{d\Omega} = \frac{\mu_0 p_0^2 \omega^4}{32 \pi^2 c} \sin^2\theta.

(a) Integrate over all angles to recover the total power

P = \mu_0 p_0^2 \omega^4 / (12\pi c)

. (b) In what direction is the radiation maximum? In what direction is it zero?