Formulas: Accelerator Physics and Synchrotron Radiation

These formulas and useful information on Accelerator Physics and Synchrotron Radiation have been collected by Werner Brefeld (DESY Photon Science).

It may serve as a collection - and not a citable reference - of easy-to-use formulas for a fast calculation of basic values. Examples, e.g. for parameters of DORIS or PETRA, are given for most equations and a pocket calculator (or online calculator) is needed only.

Formulas for:

PDF Files:

Focal length of quadrupols and wigglers, emittance, beam dimensions, beam lifetime, luminosity, synchrotron frequency...
Radiated power, power density, critical energy, divergence, spectral flux, brighthness...
Radiated power, fundamental wavelength, beam divergence, line broadening, spectral flux, brighthness...
SASE FEL: parameter, saturation length, photon peak power...
speed of light, rest energy, permeability and permittivity of free space, planck constant, (and Gaussian curve)...

Please send suggestions, additions and comments to Werner Brefeld or to the webmaster.