The Fusion Record — Fusion Energy News ← Home · Knowledge base
Concepts & Physics

Bremsstrahlung Radiation

The electromagnetic radiation emitted when charged particles are decelerated by the electric fields of ions in a fusion plasma, representing both a fundamental energy loss mechanism and a valuable diagnostic tool.

Reviewed Last reviewed: 9 Aug 2026 · Category: Concepts & Physics

Physical Mechanism

Bremsstrahlung (German for "braking radiation") is emitted whenever a charged particle is deflected by the Coulomb field of another charged particle. In a fusion plasma, the dominant process is electron–ion bremsstrahlung. The emitted photon spectrum is continuous, with most radiated power in the X-ray regime for plasmas at 10–30 keV.[1]

Power Loss Formula

Bremsstrahlung power density:
Pbr = CB · Zeff · ne2 · Te1/2

where CB ≈ 5.35 × 10−37 W·m3·keV−1/2.

The Te1/2 dependence—weaker than the T2 scaling of fusion reaction rates—means that at sufficiently high temperature, fusion power outpaces bremsstrahlung losses. This crossover is essential to achieving net energy gain.[3]

The Role of Zeff

Even a few percent of carbon (Z=6) or tungsten (Z=74) can raise Zeff substantially since the contribution scales as Z2. This is why impurity control via divertors is so critical.[1]

Diagnostic Applications

Bremsstrahlung is also a valuable diagnostic tool. X-ray continuum measurements provide direct determination of electron temperature, and visible bremsstrahlung is used to reconstruct Zeff profiles.[4]

Implications for Ignition

At the optimal ignition temperature of ~15 keV, bremsstrahlung accounts for the single largest radiative loss in a clean D–T plasma. The requirement that alpha heating exceed bremsstrahlung (plus transport losses) provides one route to deriving the Lawson criterion.[3]

Sources

  1. J. Wesson, Tokamaks, 4th ed., Oxford University Press (2011).
  2. G. Bekefi, Radiation Processes in Plasmas, Wiley (1966).
  3. J.P. Freidberg, Plasma Physics and Fusion Energy, Cambridge University Press (2007).
  4. I.H. Hutchinson, Principles of Plasma Diagnostics, 2nd ed., Cambridge University Press (2002).

Related