%0 Journal Article %T Optimization of energy conversion in the multi-beam auto-phase traveling wave tube %A Belyavskiy E. D. %A Saurova T. A. %J Tekhnika i Pribory SVCh %D 2010 %I %X The possibility of increasing of the distributed gain in the multi-beam auto-phase traveling wave tube by means of the optimal phase velocity profiling in the slow-wave circuit under the most available efficiency values is investigated. Optimization of the distributed gain is performed within the frames of the simplified analytical nonlinear theory using variation method. %K traveling-wave tube %K auto-phase mode %K multi-beam traveling wave tube %K electron bunch captured by a wave %U http://www.tkea.com.ua/svc/2010/1_2010/pdf/01.zip