Approximate treatment near resonance of backward and traveling wave tubes in the Compton regime

摘要: Backward and traveling wave tubes are devices in which the kinetic energy of an electron beam is converted into electromagnetic radiation through interaction with a slow structure. In low‐current, or Compton, regime operation, linear instability leading to microwave generation result three‐wave process involving two space‐charge waves on normal mode The character this resonance explored qualitatively quantitatively by deriving approximate, cubic dispersion relation valid near resonance. Although approximate derived from full for specific system, method analysis quite general can easily be applied other configurations. employed find expressions growth rates these devices, place correspondence Pierce’s circuit analysis, arrive at proof that backward device absolute, while tube convective.