Cylindrical wiggler based on the solenoid loaded with different magnetic properties rings

Abstract

The electrodynamics analysis of topography of constant magnetic fields originating in spatially periodic system is carried out. The system under investigation is the solenoid inside which rings from materials with different magnetic properties are periodically placed. The system of equations connecting amplitudes of spatial harmonics of a field is obtained. This system is parsed numerically. Requirements are determined when in the spatial structure of a magnetic field the dominating role is played by the main harmonic. The amplitudes of longitudinal and transverse components of the modulated magnetic field as a function of the ring sizes, magnetic and electric properties of ring materials are investigated. The amplitudes of the fields obtained in the full consideration of electrodynamics are compared with the amplitudes of a periodic magnetic field, obtained in an impedance approximation is carried out.Проведено електродинамічний розрахунок топографії постійних магнітних полів, що виникають у просторово-періодичній системі, яка являє собою соленоїд, періодично навантажений кільцями з різними магнітними властивостями.Проведен электродинамический расчет топографии постоянных магнитных полей, создаваемых в пространственно-периодической системе, представляющей собой соленоид, внутри которого периодически размещаются кольца из материалов с различными магнитными свойствами.