Formulas for Accelerator Physics and Synchrotron Radiation

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Undulator
PETRA III

PETRA III ring tunnel.

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 PETRA, are given for most equations and a pocket 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, who has collected these formulas, or to the webmaster.