A Similarity Principle for Multipacting Discharges
作者:
Richard Woo,
Akira Ishimaru,
期刊:
Journal of Applied Physics
(AIP Available online 1967)
卷期:
Volume 38,
issue 13
页码: 5240-5244
ISSN:0021-8979
年代: 1967
DOI:10.1063/1.1709307
出版商: AIP
数据来源: AIP
摘要:
A similarity principle is introduced for multipacting discharges in geometrically similar electrode configurations. For phase‐similar breakdowns, it is shown that the rf and dc voltages are proportional to (fl)2, the electron velocity is proportional tofl, and the rf and dc magnetic fields are proportional tof, wherefis the frequency of the rf voltage andlis the characteristic length for similar configurations. If the electron kinetic energy is similar as well,flmust also be invariant. These similarity relations are applied to previous work in parallel plates, and it is shown that the results of the different multipacting cases can be unified under the similarity principle. A physical explanation is also given for the success of the constantvf/viassumption, whereviandvfare the respective emission and impact electron velocities. When applied to geometries other than parallel plates, the similarity principle yields important scaling information and allows prediction of the breakdown behavior in these geometries, where analytical solutions are otherwise not available.
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