Construction of “resonant” magneto-optical lattices with controlled momentum compaction factor

On the basis of the theory of “resonant” magneto-optical lattices for synchrotrons with complex transition energy developed in 1], methods for construction of such lattices with application to various accelerators are proposed. Apart from allowing elimination of transition energy crossing by accelerated particles, these lattices should meet a number of important requirements. In particular, they must have dispersion-free straight sections intended for accommodation of RF cavities, Siberian snakes and detectors, and a large enough dynamic aperture for minimizing the effect of magnetic optics nonlinearity on the beam parameters after chromaticity correction by sextupoles.