Magnetic Field Effects in Traveling Wave Tubes

Cover Magnetic Field Effects in Traveling Wave Tubes
Magnetic Field Effects in Traveling Wave Tubes
W Sollfrey
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A "non-relativistic transition' o is now performed, in which terms of the order of magnitude of (v/c), where v is the electron velocity, are dropped. This results in a much simplified transcen- dental equation.
In Section TV this tremscendental eouation is reduced to an algebraic * M equation, using the method developed by Friedman . The resulting equation is also a quintic, which may be rendered identical with Pierce's by a suitable - 2 - nomenclature. However, the arbltrarj feature of Pierce'
...s theory is removed, since all the coefficients of the qaintlc are derived here from fundaoented field theory. The necessary namericeJ. Analysis and comparison vlth experiment will appear in a future report, hut it is proven that no new aurpllfied waves are generated.
II. Solution of the Field Bcroations The system is governed hy ten equations. First there are the six Maxwell equations. Then there are the three Lorentz force equations, and finally the equa- tion of continuity. The three equations relating current, charge, and electron velocity may "be viewed as definitions of the current components, and only add re- dondancy to the system.


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