Electron and Optical Physics Division

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Far Ultraviolet Physics Group / Synchrotron Ultraviolet Radiation Facility SURF III

The Far Ultraviolet Physics Group maintains and improves the Synchrotron Ultraviolet Radiation Facility SURF III.

 
 
 
 

Calculate SURF III Accelerator Parameters
Variable Parameters
Magnetic flux density 0.04 T < B < 1.7 T   T
RF frequency 113.85 MHz < νRF < 114.1 MHz   MHz
Magnetic field index 0 < n < 3/4
RF gap voltage -2 kV > VRF > -21 kV   kV
Electron beam current 0 mA < IB < 1000 mA   mA
Fixed & Derived Parameters
Orbital frequency $\nu_0 = \frac{\nu_{RF}}{h} $   MHz
Electron energy E0   MeV
Gamma factor $\gamma =\frac{E_0}{m_eC_I^2}$
Beta factor $\beta = \sqrt{ 1 - 1 / \gamma^2 }$
Orbital radius $\rho_0 = \frac{\beta \, C_I \, h}{2\pi \,\nu_{RF}}$   mm
Characteristic wavelength $\lambda_c = \frac{4\pi \, \rho_0}{3 \lambda^3}$   nm
Number of electrons $ N_e = \frac{I_B \, 2\pi\, \rho_0}{e_0 \, \beta \, c}$
Energy loss per turn $U_0 = \frac{e_0^2 \, \gamma^4}{3\varepsilon_0 \, \rho_0}$   eV
Radiated power per electron $P_\gamma = \frac{c_I \, e_0^2 \, \gamma^4}{6\pi \,\varepsilon_0 \, \rho_0}$   nW
Total radiated power $P_{\rm tot} - N_e \, P_\gamma$   W
Synchrotron Oscillation frequency $u_s = \nu_0 \sqrt{\frac{h e_0 V_{\rm RF}\cos(\psi_s)}{2\pi \beta E_0(n-1)}}$   kHz
Natural energy spread $\frac{\sigma_E}{E_0}=\sqrt{\frac{C_q \gamma^2}{\rho_0}\frac{1-n}{3-4n}}$   %