Abstract
Transverse and longitudinal focusing in radiofrequency quadrupole (RFQ) accelerators depends on V/R <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">o</sub> (the vane voltage divided by the mean radial aperture). For maximum current carrying capacity, one generally designs for maximum V/R <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">o</sub> , which is limited by the peak surface electric field E <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">s</sub> (= K (V/R <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">o</sub> )) that can be sustained without sparking. The value of the enhancement factor K depends on the pole geometry and can be minimized by choosing an appropriate pole shape. A computer program POTRFQ will be described which derives the field potential ϕ(r, θ, z) and the vane tip contour, for a range of input parameters. The effects on the beam dynamics of the higher multipole components resultirig from the modified pole shapes will also be presented.
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