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Design of Linear Electron Accelerators with Beam Loading
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17.It is assumed that the electrons are well bunched and are situated at the crest of the traveling rf wave. If the electrons are off the crest by a phase angle θ, the second term on the right in Eq. (2.1) should be multiplied by the factor cosθ.
18.At other points in the accelerator this ratio increases, since the beam losses are quadratic with P, while the resistive losses are linear with P. The quantity m is not defined other than at the input for our purposes.
19.The variation of maximum current, with frequency may be found by rewriting Eq. (2.6) as: for a given to obtain maximum efficiency. Then for fixed energy and length,
20.Figures 14–16 have taken from the paper by Ginzton, Hansen, and Kennedy (reference 2) but the curves have been shifted slightly to conform to more recent measurements.
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