论文信息 - Optimal coils for producing uniform magnetic fields

Optimal coils for producing uniform magnetic fields

A method is described for calculating the optimal current-carrying systems to produce a uniform magnetic field in a given space. A least-squares approach is used to minimise the RMS deviation of the field from that required. The technique is illustrated by results for systems of N=2, 3, 4, 6, 8 circular coaxially arranged coils.

L. B. Lugansky | L B Lugansky

[1] G. Stroink,et al. Uniform magnetic field produced by three, four, and five square coils , 1983 .

[2] K. Kaminishi,et al. Practical method of improving the uniformity of magnetic fields generated by single and double Helmholtz coils , 1981 .

[3] Hervé Saint-Jalmes,et al. Optimization of homogeneous electromagnetic coil systems: Application to whole‐body NMR imaging magnets , 1981 .

[4] F. Crownfield. Optimum Spacing of Coil Pairs , 1964 .

[5] P. R. Robinson. Improvements to the system of four equiradial coils for producing a uniform magnetic field , 1983 .

[6] P. Colavita,et al. Optimum spacing for a pair of thick circular coils of square section. , 1978, The Review of scientific instruments.

[7] P. Gill,et al. Algorithms for the Solution of the Nonlinear Least-Squares Problem , 1978 .

[8] M. W. Garrett,et al. Axially Symmetric Systems for Generating and Measuring Magnetic Fields. Part I , 1951 .

[9] L. B. Lugansky. A method of calculation of a solenoid producing a given magnetic field on its axis , 1985 .

[10] J. R. Craig,et al. Optimum Spacing of Square and Circular Coil Pairs , 1968 .

[11] F. Sauter,et al. Die Erzeugung von möglichst homogenen Magnetfeldern durch Stromsysteme , 1944 .