Unified Formulation for Linear Accelerator Design*

Expressions for peak and average powers required to produce a given average gradient in an accelerator section are given. They are valid for both lossy and lossless (superconducting) sections, for both traveling wave and standing wave sections, and for pulsed or continuous wave rf input. The expressions are given in terms of structure parameters that are equally applicable to traveling wave or standing wave. These parameters delineate the effect of wall losses and energy required to build up the field. For both traveling wave and standing wave sections it is possible to make the rf pulse length short enough to make the wall losses negligible at the expense of increased peak power requirement. Therefore the expressions will include the effects of pulse compression. Contributed to the Stanford Linear Accelerator Conference Stanford, California, June 2-6, 1986 * Work supported by the Department of Energy, contract DE AC03 76SF00515. SECTION PARAMETERS The necessary and sufficient parameters that can characterize traveling wave (TW) or standing wave (SW) accelerator sections are E2 SC-; T,2!= 2w P W Pd z llg=-. W (1) For SW section only: V2 2w s=wL; Te = pe * The names of the symbols in the above definitions with a consistent set of units are: