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On the possibility of creating a magnetic field with a given degree of spatial inhomogeneity.

Proposed here is a method for constructing systems of circular thin Helmholtz coils (conic coils), which makes it possible to obtain a magnetic field with any degree of inhomogeneity by doubling the number of coils. A functional relationship is obtained between the currents of the coils and their distances to the center, which allows zeroing all derivatives in the expansion of the magnetic field in a series in spatial variables in the center of the system to a derivative of arbitrary order. An analytical expression is obtained for the magnitude of the magnetic field of the systems along the axis of symmetry. All the systems considered here have the same parity (oddness) of the projections of the magnetic field with respect to spatial variables and equal inhomogeneity in all directions in the center of symmetry.