Electromagnetic design of superconducting multipole corrector magnets based on sector coils

Abstract

We present here analytical formulas derived for sector coils with 2N poles, an iron screen and optional iron poles. These formulas can be used to produce optimized conceptual electromagnetic designs of superconducting cosine-theta corrector magnets with 2N poles. The main guidelines of the corresponding algorithm, i.e., design algorithm for sextupoles and higher, which has been used to produce valid conceptual electromagnetic designs of the Future Circular Collider sextupole and octupole magnets, are also presented. Generic conceptual design studies performed with DASH and DASH2in1 (for nested corrector magnets configurations) are also shown and their outcome is discussed.where ReðxÞ and ImðxÞ are the real and imaginary parts of x respectively, and UJ ðr; θÞ; V ðkÞ J ðr; θÞ; W ðkÞ J ðr; θÞ are dimensionless complex functions of r and θ given by