Abstract
Gridded electron guns are key components of various electron beam based vacuum tubes. Mesh grids may be utilized for electron beam extraction and control. As part of the electron beam may be intercepted by the mesh grid, heating occurs, which could translate into performance degradation of the vacuum tube or even failure. This paper introduces an analytical model based on first physics principles for mesh grid heating in an electron gun, toward generating the upper bound for the intercepted electron beam power. 3D simulations and exploratory experiments for mesh grid heating in an electron gun directionally confirm the predictions of the analytical model. This analytical approach may be leveraged further when the upper bounds of mesh grid heating in electron guns are needed, as well as for adjusting mesh grid topology to increase its robustness against electron beam heating.
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