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36th International Field Emission Symposium

J. Phys. Colloques 50 (1989) C8-3-C8-8

DOI: 10.1051/jphyscol:1989801

RECENT PROGRESS IN LMIS THEORY

R.G. FORBES et N.N. LJEPOJEVIC

University of Surrey, Department of Electronic and Electrical Engineering, GB-Guildford, Surrey, GU2 5XH, Great-Britain


Abstract
We report on progress towards developing an improved model of liquid-metal ion source behaviour. First, we have formulated a shape condition that takes shank viscous drag effects into account, and have shown that these may affect emitter shape modelling. Second, we have concluded that further progress with the Kingham-Swanson approach requires a new shape approximation in their program. Third, we have devised a rigorous variational proof of the standard formula for the pressure difference across a charged conducting liquid surface.