Approximate expressions for the magnetic field created by circular coils inside a closed cylindrical shield of finite thickness and permeability
作者： Tianhao Liu , Allard Schnabel , Zhiyin Sun , Jens Voigt , Liyi Li
DOI: 10.1016/J.JMMM.2020.166846
关键词: Cylinder 、 Electromagnetic shielding 、 Magnetic field 、 Electromagnetic coil 、 Mechanics 、 Electromagnetic field 、 Physics 、 Helmholtz coil 、 Finite thickness 、 Shield
摘要: Abstract The common approach to create a uniform magnetic field in the μ T range is placing coil set inside shield. One of main obstacles achieving requested uniformity can be distortion caused by We derive an approximate expression for generated circular coils enclosed ferromagnetic cylinders, most used shield geometry. advantage over known approximation considering finite permeability and thickness cylindrical To model cylinder end caps, we propose mirror method, which extends method image case thickness. barrel modeled as infinite tube its effect on analytically solved. error dependency observation point geometry are discussed. Compared with finite-element simulations our analytic consistent within relative less than 0.3% practical shielding setups. enables rapid optimization shield-coupled sets custom-designed objective function. show applicability present direct selection optimum spacing pair match given dimensions
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