Analytical model for calculation of the magnetic field of triaxial uniform coils in magnetically shielded cylinder

Abstract

An analytical model to calculate the magnetic field of triaxial uniform coils inside magnetically shielded cylinders (MSCs) composed of high-permeability materials is proposed. The proposed model offers two major advantages over existing methods. First, the model is not limited to the research on coaxial circular coils, but also can be used to analyze the magnetic field characteristics of saddle coils inside MSCs. Second, based on Green’s function expansion and the ferromagnetic boundary conditions, the image method is introduced to consider the reflection effect of the MSC end cap on the coil, thus enabling the coupling effect between the coil and the MSC to be analyzed. To verify the model’s correctness, simulations and experiments are performed separately. With regard to the magnetic field distributions of the saddle coil and the Lee-Whiting coil within a range of ± 80 mm along their axes, the results show that the maximum relative error between the analytical method and the finite element method results is 0.08% and 0.06%, respectively; the maximum relative error between the experimental values and the analytical values is 0.29% and 0.13%, respectively, thus confirming the validity of the analytical model. The results of this research have far-reaching implications for the research of quantum precision measurement devices and triaxial uniform field coils.

A novel 3D magnetic circuit method for calculating shielding factors of rectangular magnetically shielded rooms

“…The equivalent permeability of MSR in real engineering is obtained from the simulation model in section 3.1 without considering the door gap. The comparison results between the calculated SF obtained using equation (10) and the tested SF are shown in table 4. It can be seen that the calculated SF of the two MSRs is relatively close to the tested SF with an error value of less than 7%.…”

“…In the case of w = l = h, the demagnetization factor is the same in the three directions, N x = N y = N z = 1/3. Simplification of equation (10) gives the SF of the cubic MSR as…”

“…According to the shape classification, MSRs can be categorized as sphere [9], circular cylinder [10], and rectangle [11]. The shape and geometrical parameters of the MSRs have an important influence on the calculation of the SF.…”

Research on the stress magnetic coupling effect of a permalloy based on an optimized Jiles Atherton model in magnetic shielding devices

“…Therefore, experimental research in basic physics [1], paleomagnetism [2], biomedicine [3], national defense [4], space [5] and other fields can be carried out inside the magnetic shielding device. Specifically, exploring and explaining the asymmetry between matter and antimatter in the Universe [6,7], achieving the sensitivity of ultrahigh spin-exchange relaxation-free atomic magnetometer [8,9], and using the magnetometer to measure the magnetic field generated by the human neural current [10].…”

Calculation of the Magnetic Field of a Current-Carrying System

“…The problem of accelerating the calculation of the magnetic field is important for the study of various natural and technical systems. Since the calculations of the magnetic field are quite expensive, so far, despite the development of computer technology, researchers prefer to find analytical algorithms for calculations [1], which indicates the relevance of improving numerical methods. In our work, we are focused on the numerical calculation of the magnetic field in relation to current-carrying systems that take place in various problems of electrometallurgy, where the problems of electrodynamics must be solved simultaneously with the problems of hydrodynamics [2,3].…”