Cyclotron & Synchrotron Emission
Electromagnetic radiation emitted by charged particles undergoing gyromotion acceleration around magnetic field lines in a plasma.
Governing formula
P_rad = (2 e⁴ B² v_⊥²) / (3 m_e² c³) (Non-relativistic Cyclotron)
SI unit
W (Radiated Power)
In depth
Non-relativistic electrons emit monochromatic cyclotron radiation at frequency ω_ce. Relativistic electrons emit broad-spectrum synchrotron radiation focused in narrow forward beams along their velocity vector.
Examples in the real world
Jupiter's intense decametric radio emissions and synchrotron radiation from supernova remnant relativistic plasmas.