Contribution of Wiggler to Radiation Integral in an Electron Storage Ring

With the advancement of accelerator light sources, the application of wiggler becomes more and more important, for example to speed up damping or generate synchrotron radiation. The quantum excitation contribution of such a wiggler to the electron beam emittance in a storage ring should be carefully evaluated when small emittance is desired. What found in literature is an approximate formula. Here we present a more exact result, which is of value for future light source development.