Impedance for a multi-cell, multi-block structure

An expression for the high-frequency limit of the longitudinal coupling impedance for a structure consisting of a large number of cavities (cells) has been derived (R.L. Gluckstern, 1989). In that calculation the cells were identical, azimuthally symmetric, and equally spaced. The analysis is extended to the case where the cells are grouped into blocks, which themselves are identical and equally spaced, a geometry frequently encountered in multi-cavity structures. The space between blocks is modeled as missing cells. Specifically, the authors consider the picture in which every ( alpha -1) cells (which form one block) are followed by beta missing cells.<>