Emittance Preservation

The transverse emittance is a critical parameter for the performance of synchrotron light sources, linear and circular colliders and many other applications. The best performance is often achieved with the smallest emittances. Many effects lead however to emittance growth. In this lecture emittance growth from mismatch at injection into circular machines will be discussed. The concept of emittance and how to calculate it will be introduced and the formulae for emittance blow-up for the most common injection errors will be derived.