Development of Computer Program TWTVA for Calculation of 3-D Electron Trajectories in Coupled-Cavity TWTs
Final rept. 10 Nov 1975-10 Mar 1976
LITTON SYSTEMS INC SAN CARLOS CA ELECTRON TUBE DIV
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The report describes the development of a computer program for calculation of three-dimensional electron trajectories in a coupled cavity traveling wave tube. RF, magnetic and space charge fields are included without paraxial approximations. Both PPM and solenoid magnetic fields are admitted. Each field is represented by a potential matrix. The rf vector potential matrix is computed from an integration of Kosmahl and Branchs field formulation. The magnetic vector potential matrix is derived from ideal current loops representing the field sources. The space charge potential matrix is obtained by an extension of Hockney and Bunemans Fourier Analysis Cyclic Reduction method to cylindrical coordinates. The trajectory steps are then computed from analytic integrals of the general cross-field equations of motion, using a fast subroutine for simultaneous interpolation and differentiation of the potential matrices. A comprehensive example is given of output obtained from the program.
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