Scaling relations for a beam-deflecting TM/sub 110/ mode in an asymmetric cavity

A deflecting mode in an RF cavity caused by an aperture of the coupling hole from a waveguide is studied. If the coupling hole has a finite size, the RF modes in the cavity can be distorted. The distorted mode is considered as a sum of the accelerating mode and the deflecting mode. The finite-size coupling hole can be considered as radiating dipole sources in a closed cavity. Following the prescription given by H. Bethe (1944), the relative strength of the deflecting mode TM/sub 110/ to the accelerating TM/sub 010/ mode is calculated by decomposing the dipole source field into cavity eigenmodes. Scaling relations are obtained as a function of the coupling hole radius.<
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