Mk. Ke et al., CONTINUOUS TRANSMISSION-LINE MODELING OF A DTL INCLUDING BEAM LOADINGAND OTHER PERTURBATIONS, Particle accelerators, 48(2), 1994, pp. 109-134
The rf structure of a DTL is first modeled by a circular waveguide fil
led with an anisotropic medium with scalar permeability mu and tenser
permittivity epsilon = ($) over cap z ($) over cap z epsilon(z) + ($)
over cap r ($) over cap r epsilon(t). The two structures are equivalen
t in four pertinent characteristics from which the waveguide parameter
s and a radius a are determined. The exact geometry of the DTL includi
ng the facing angles, the beam holes and the stems is used in the proc
ess via SUPERFISH computations. A transmission line modeling the waveg
uide is then established, which is further improved to include the fir
st order effects of structure losses, beam loading and external rf sou
rces. Comparisons with experimental results are favorable.