Classical Electrodynamics · Problem 14.4

Radiating Systems, Multipole Fields and Radiation — John David Jackson

Physics — E&M · time-averaged-power-nonrelativistic-lienard-wiechert

Problem

Using the Liénard-Wiechert fields, discuss the time-averaged power radiated per unit solid angle in nonrelativistic motion of a particle with charge

e

, moving (a) along the

z

axis with instantaneous position

z(t) = a \cos \omega_0 t

, (b) in a circle of radius

R

in the

x

y

plane with constant angular frequency

\omega_0

. Sketch the angular distribution of the radiation and determine the total power radiated in each case.