Synchrotron Critical Energy & Power Calculator
Relativistic electrodynamics & particle accelerators: Calculate bending magnet synchrotron energy loss per turn ($U_0$), critical photon energy ($epsilon_c$), radiated power, and natural emission cone angle ($1/gamma$).
Electron Beam & Ring Parameters
3rd/4th Gen rings: 2–6 GeV
B = E / (0.29979 · ρ)
Radiation Characteristics Output
Critical Photon Energy ε_c:
--
keV (half power threshold)
Loss per Turn U₀:
--
keV / electron / turn
Lorentz Factor γ:
--
E / m_e c²
Total Beam Power:
--
kW radiated
Opening Angle 1/γ:
--
μrad (cone half-angle)
Spectral Critical Parameters
Critical Wavelength $lambda_c$:
--
Required RF Cavity Power Compensation:
--
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