magnetic dipole radiation
A current loop whose current oscillates — or a little bar magnet whose strength pulses — is a magnetic dipole, and when it oscillates it too radiates. Magnetic dipole radiation is the magnetic cousin of electric dipole radiation: same shape of pattern, but usually far, far fainter.
For a magnetic dipole moment oscillating as m(t) = m_0 cos(omega t), the time-averaged radiated power is <P> = mu_0 m_0^2 omega^4 / (12 pi c^3). Compare it to the electric dipole result: the formula is identical except for two extra factors of c in the denominator. Because a magnetic moment of a source of size d with internal speed v is of order m ~ p c times (v/c), the magnetic-to-electric power ratio is of order (v/c)^2 — typically minuscule for the slow charges inside ordinary matter. The angular pattern is again sin^2(theta), but now the magnetic field plays the role the electric field played for the electric dipole, with E and B swapped.
Magnetic dipole radiation matters precisely where electric dipole radiation is forbidden. In atomic and nuclear transitions, selection rules can make the electric dipole (E1) amplitude vanish; the transition then proceeds through the much slower magnetic dipole (M1) channel, giving long-lived states and faint spectral lines. Rotating neutron stars (pulsars) are giant magnetic dipoles whose radiation drains their spin.
For charges moving at speed v inside a source, magnetic dipole radiation is weaker than electric dipole radiation by roughly (v/c)^2. For atomic electrons with v/c ~ 1/137, that is a suppression of order 10^-4 to 10^-5 in power.
Same omega^4 sin^2(theta) shape as the electric dipole, but suppressed by ~ (v/c)^2.
Magnetic dipole radiation is not a different pattern, just a weaker channel — it dominates only when the electric dipole term is zero by symmetry or selection rule. Do not confuse the (v/c)^2 suppression with the multipole ordering; both magnetic dipole and electric quadrupole enter at the same next order.