Molecular Dynamics Simulations of Mutual Space-Charge Effect between Planar Field Emitters
Hakon Valur Haraldsson, Kristinn Torfason, Andrei Manolescu, Agust, Valfells

TL;DR
This paper uses molecular dynamics simulations to study how space-charge effects influence electron emission from multiple planar emitters, revealing that emitter spacing significantly impacts their mutual interactions.
Contribution
It introduces a detailed simulation approach to analyze mutual space-charge effects between multiple planar emitters with full Coulomb interactions.
Findings
Emitters are independent when spaced more than half the gap distance.
Mutual space-charge effects increase rapidly at smaller spacings.
A qualitative explanation for the observed effects is provided.
Abstract
Molecular dynamics simulations, with full Coulomb interaction and self-consistent field emission, are used to examine mutual space-charge interactions between beams originating from several emitter areas, in a planar infinite diode. The simulations allow observation of the trajectory of each individual electron through the diode gap. Results show that when the center-to-center spacing between emitters is greater than half of the gap spacing the emitters are essentially independent. For smaller spacing the mutual space-charge effect increases rapidly and should not be discounted. A simple qualitative explanation for this effect is given.
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