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An efficient electron cyclotron resonance ion source requires microwave frequency as high as possible. At the same time, the magnetic field has to meet experimentally found rules. The magnetic field configuration required for efficient operation is provided by a combination of solenoid and multipole fields. A so-called Halbach array is used to produce as high a magnetic field as possible using permanent magnets. In this work the above-mentioned structure has been studied in detail in order to maximize the strength of the multipole field. Simulations showed that the so-called offset structure, described in this article, gives stronger fields at magnetic poles. As one result of this work, simple equations were developed to easily calculate the value of the magnetic field for different size hexapolar Halbach structures. © 2004 American Institute of Physics.