The specific power (power per unit solid angle) emitted by the quadrupole term in cylindrically symmetrical electric multipole radiation is given in cgs by

where c is the speed of light, k is the wavenumber, is the nonzero term in the electric quadrupole moment,and is the angle from the z-axis. Integrating over all angles gives the total radiated power as


For a general electric quadrupole moment, the total power emitted in

Letting be a normal vector in the direction of the z-axis, the power radiated per solid angle is

and the (complex) magnetic field is given by