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Wakefields in a rectangular accelerating structure can be calculated in timedomain by directly solving Maxwell's equations by a 3D code. In this paper, wewill give analytical formulae to calculate the synchronous modes' loss factors.From these analytical formulae on can get the delta function wakefields. Therelations between the loss factors (wakefields) and the structure geometricaldimensions are well established. These analytical expressions of loss factorscan be used also in a single rectangular resonant cavity. It is shown that thepotential application of a rectangular accelerating structure is to acceleratea flat beam in a linear collider.

Analytical Formulae for the Loss Factors and Wakefields of a Rectangular Accelerating Structure