“…An beam, which means that the only surviving terms in (13) enhanced filling factor, in a resonator with fixed losses, are those with t = 1. We let C,,,(z) = C, (z) 6 e. , and will cause a reduction in the undulator field needed to ini-drop all subscripts e. We Equations (14) and (15) are coupled with (3) and (4) to -2 ,t"B2 ( t = -(V X J)., (9) form a complete set of equations. In oir model, the current density in (9) is purely transverse and does not excite where B,.…”