Design of low emittance storage ring

Modern synchrotron light sources are extremely successful and important to physical sciences, such as biology, condensed matter physics, material science and chemistry. These facilities produce high-flux, high-brightness synchrotron radiation that spans a remarkably large spectral region, from far infra red to hard X-rays. This dissertation studies low emittance storage ring design, which has the advantage of providing high brightness photon beam. Particularly a storage ring with emittance lower than diffraction limit of hard X-ray, which is known as Ultimate Storage Ring (USR), can generate transversely coherent radiation.;In this dissertation, we proposed several designs for USR with various non-linearities cancellation schemes. An optimized design based on fourth order geometric achromat has been reported. Different algorithms including genetic algorithm have been applied to optimization of dynamic aperture and beam lifetime. A dynamic aperture larger than requirement is accomplished and the stability of ring design has been examined with random errors. Finally different approaches to obtain round beam in a USR have been discussed. In particular, a non-linear coupling resonance method is developed which generates an elliptical beam with lower vertical emittance.