Vol 2 - Landau, Lifshitz - The classical theory of fields (4th, 1994) (1) · Problem 9.6

Radiation of Electromagnetic Waves

Physics — Landau & Lifshitz · magnetic-dipole-radiation

Problem

A magnetic dipole

\mathbf{m}(t) = m_0 \cos(\omega t)\, \hat{z}

oscillates at frequency

\omega

. (a) Find the fields

\mathbf{E}

and

\mathbf{B}

in the radiation zone. (b) Find the time-averaged power radiated per unit solid angle,

dP/d\Omega

. (c) Find the total radiated power.