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- W1512723900 abstract "This report presents equations that allow an approximate evaluation of the limiting beam current for a large class of radio-frequency linear accelerators, which use quadrupole strong focusing. Included are the Alvarez, the Wideroe, and the radio-frequency quadrupole linacs. The limiting-current formulas are presented for both the longitudinal and the transverse degrees of freedom by assuming that the average space-charge force in the beam bunch arises from a uniformly distributed charge within an azimuthally symmetric three-dimensional ellipsoid. The Mathieu equation is obtained as an approximate, but general, form for the transverse equation of motion. The smooth-approximation method is used to obtain a solution and an expression for the transverse current limit. The form of the current-limit formulas for different linac constraints is discussed." @default.
- W1512723900 created "2016-06-24" @default.
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- W1512723900 date "1980-12-01" @default.
- W1512723900 modified "2023-09-23" @default.
- W1512723900 title "Space-charge limits in linear accelerators" @default.
- W1512723900 doi "https://doi.org/10.2172/6742291" @default.
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