We discuss the possibility of exploiting the undulator radiation as a diagnostic tool for the emitting e-beam itself. We suggest, indeed, a method to infer the radiating e-beam emittance from the integrated brightness. We evaluate numerically the Lienard-Wiechert radiation integral and calculate the undulator brightness, including the betatron motion effects. We consider linearly polarized undulators and cylindrical e-beams. We analyse the details of the spectrum emitted in the region of the first three harmonics. We prove that the brightness integrated on a suitable solid-angle portion and frequency interval around the second harmonic, can be parametrized by using two characteristic parameters only. It is also shown that this measurable, in principle, quantity is a linear function of the e-beam emittance.
|Pages (from-to)||743 - 750|
|Number of pages||8|
|Journal||Nuovo Cimento della Societa Italiana di Fisica B|
|Publication status||Published - Jun 1996|
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)