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Larmor Radiation Pattern

What you are seeing: an electron oscillating along the vertical axis radiates with the classic sin2θ\sin^2\theta "donut" pattern: nothing along the acceleration axis, maximum perpendicular to it. The total power Ptot=q2a2/(6πε0c3)P_{tot} = q^2 a^2 / (6\pi\varepsilon_0 c^3).

Figure 1. Time-averaged radiation pattern of an oscillating charge.
amplitude (rel)1.0
frequency (Hz)1e3
view

WHAT TO TRY

  • Watch the sin-squared theta donut: an electron oscillating along the axis radiates nothing straight up the axis and most strongly broadside. Switch the view to see the polar lobe or the full 3D toroid.
  • Raise the oscillation frequency: the total radiated power climbs steeply (Larmor power scales as acceleration squared), and the readout P_tot follows. Faster wiggling radiates far more.
  • Switch to the wavefronts view: the charge launches outgoing spherical shells whose strength is modulated by the angular pattern, brightest around the equator of the donut.