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- W2023429329 abstract "Electrons multipacting in an evacuated discharge tube produce an effective static potential well in which the positive ions can be contained. The theory of the positive ion behavior in this ``electron well'' in the very low pressure regime (𝔓 [less than double similar] 10−5 mm Hg) is developed here. The electron potential well is expressed finally as a double numerical integral of complete elliptic integrals for the general field point; for on-axis points it reduces to a single numerical integral of irrational expressions. With the ``short tube'' and ``constant sheet velocity'' approximations, the well is parabolic; the corresponding ion harmonic vibration frequencies are calculated. For the rigorous well these parabolas are flattened in the central parts and steepened near the electrodes. A self-consistent calculation of the ion density is made using an individual particle description of the ion gas (appropriate to very low densities) which results in an inhomogeneous integral equation. The solutions describe ion distributions peaked in the middle of the tube. For comparison with experiment the deflection of an ion beam fired across the tube is worked out." @default.
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- W2023429329 date "1961-12-01" @default.
- W2023429329 modified "2023-09-25" @default.
- W2023429329 title "Theory of the Potential Well Produced by Multipacting Electrons. I. Very Low‐Pressure Regime" @default.
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- W2023429329 doi "https://doi.org/10.1063/1.1728352" @default.
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