Abstract： As a fundamental theorem in free electron lasers, Madey Theorem reveals the relationship between the spontaneous radiation and the stimulated radiation. In this paper, this problem is studied for transition radiation free electron lasers. The results show that there is a formula corresponding to the first part of Madey Theorem, but the former is more complicated; while the second part remains the same. Then the results obtained are used to simplify the small signal gain calculation.
LIU SHENG-GANG,SUN YAN. A STUDY ON THE RELATIONSHIP BETWEEN THE SPONTANEOUS RADIATION AND THE STIMULATED RADIATION IN TRANSITION RADIATION FREE ELECTRON LASERS. Acta Phys. Sin., 1988, 37(9): 1505-1509.