The linear theory of free-electron laser (FEL) is established by means of the spacecharge wave theory. Equations for space-charge waves in FEL with magnetostatic wiggler have been derived and solved. The space-charge ...The linear theory of free-electron laser (FEL) is established by means of the spacecharge wave theory. Equations for space-charge waves in FEL with magnetostatic wiggler have been derived and solved. The space-charge density waves and the current waves have been obtained, and the differences between these waves and the conventional space-charge waves are discussed in detail. Using these space-charge waves, the dispersion equations of FEL have been derived, and some special cases are analyzed. A new concept and suggestion are presented.展开更多
We construct a cubically nonlinear theory of plural interactions between harmonics of the growing space charge wave（SCW） during the development of the two-stream instability. It is shown that the SCW with a wide fre...We construct a cubically nonlinear theory of plural interactions between harmonics of the growing space charge wave（SCW） during the development of the two-stream instability. It is shown that the SCW with a wide frequency spectrum is formed when the frequency of the first SCW harmonic is much lower than the critical frequency of the two-stream instability.Such SCW has part of the spectrum in which higher harmonics have higher amplitudes. We analyze the dynamics of the plural harmonic interactions of the growing SCW and define the saturation harmonic levels. We find the mechanisms of forming the multiharmonic SCW for the waves with frequencies lower than the critical frequency and for the waves with frequencies that exceed the critical frequency.展开更多
文摘The linear theory of free-electron laser (FEL) is established by means of the spacecharge wave theory. Equations for space-charge waves in FEL with magnetostatic wiggler have been derived and solved. The space-charge density waves and the current waves have been obtained, and the differences between these waves and the conventional space-charge waves are discussed in detail. Using these space-charge waves, the dispersion equations of FEL have been derived, and some special cases are analyzed. A new concept and suggestion are presented.
文摘We construct a cubically nonlinear theory of plural interactions between harmonics of the growing space charge wave（SCW） during the development of the two-stream instability. It is shown that the SCW with a wide frequency spectrum is formed when the frequency of the first SCW harmonic is much lower than the critical frequency of the two-stream instability.Such SCW has part of the spectrum in which higher harmonics have higher amplitudes. We analyze the dynamics of the plural harmonic interactions of the growing SCW and define the saturation harmonic levels. We find the mechanisms of forming the multiharmonic SCW for the waves with frequencies lower than the critical frequency and for the waves with frequencies that exceed the critical frequency.
基金Projects of Chinese high tech 863 foundation of National Key Program for Basic Research of China (973 2001 CCB01000)and 211 Engineering of Chinese Universities.
