Diffraction model of short-range longitudinal wakefields in circular and rectangular structures

Diffraction models based on the Green function technique and ‘image’ field concept were developed for analytical calculation of high-frequency radiation in rectangular iris-loaded structures. The models for single-cell and periodic structures were considered as an extension of the Lawson and Sessler-Vainshtein approaches and were applied to circular, infinitely wide planar and ‘muffin-tin’ geometry. The calculated spectral radiation losses are in good agreement with existing formulae. For a 2.5D muffin-tin structure a special semi-analytical frequency domain model was built to compare the diffraction model with the matched field technique based on eigenmodes calculations.