The Crystalline Undulator Field and Possibility of Periodic Bent Crystal as γ-Klystron

To find a new light source,especially short-wave coherent light source has been to strive goal of the people.A combination between crystalline Undulator field with the klystron technology is expected to be short-wave coherent light source,in particular the coherent γ-light source.In the paper discussed the possibility of a periodic bent crystal as γ-klystron by Lasing effect of the periodic bent crystal.In the framework of classical mechanics and the small gain approximation,the longitudinal motion equation of the particles in the crystalline Undulator is reduced into classical pendulum equation,and derived the energy gain of the system by perturbated method.The results show that when the bent crystal worked in the amplifier mode,the required beam intensity is more high.If the bent crystal worked in the cascading klystron mode,the requirements of beam intensity can be reduced by 3-4 orders of magnitude,entirely lie within the capabilities of today′s accelerator technology.