Improved Numerical Algorithms for Child-Langmuir Emission

We present improved numerical algorithms for thermionic emission in the finite-element gun code MICHELLE. The improved algorithms employ newly implemented Child-Langmuir special functions and robust iterative solvers that quickly yield near double precision machine accuracy in analytic problems. The...

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Bibliographic Details
Published in2021 22nd International Vacuum Electronics Conference (IVEC) pp. 1 - 2
Main Authors Nelson, Eric M., Jensen, Aaron J., Petillo, John J., Ovtchinnikov, Serguei, Chernin, David P.
Format Conference Proceeding
LanguageEnglish
Published IEEE 27.04.2021
Subjects
cathode
Child-Langmuir
Codes
Current density
Finite element analysis
Government
Iterative algorithms
Miram curve
space charge limited
temperature limited
Thermionic emission
Vacuum electronics
work function
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Summary:We present improved numerical algorithms for thermionic emission in the finite-element gun code MICHELLE. The improved algorithms employ newly implemented Child-Langmuir special functions and robust iterative solvers that quickly yield near double precision machine accuracy in analytic problems. The implementation in MICHELLE yields substantially improved current densities, reducing the 1% error observed in some cases to less than 0.25% error.
DOI:10.1109/IVEC51707.2021.9722557