Cylindrical wiggler based on the solenoid loaded with rings differ in electric and magnetic properties

The electrodynamics analysis topography of magnetic fields topography produced in spatially periodic magnetic system is carried out. The system under investigation consist of the solenoid periodically loaded with rings made from materials of different electric and magnetic properties. A set of equations connecting amplitudes of spatial harmonics of the field is obtained. Amplitudes of longitudinal and transverse components of the periodically modulated magnetic field as a function of the ring sizes, current frequency, magnetic and electric properties of rings materials are investigated. The amplitudes of the fields obtained in the full electrodynamics consideration are compared with the amplitudes of a periodic magnetic field, obtained in an impedance approximation.