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Based on a wire model, analytical formulae are derived to describe the spatial distribution of the magnetic field as determined by the parameters of the undulator including positional and orientational errors. Semi-analytical numerical simulations are performed to estimate the tolerance of the errors required for a satisfactory function of the supramini, including the effects of systematic errors (pitch, yaw and roll errors) and random errors of the wire position. The effects of these errors on the quality of the field are then graphically analyzed to show the RMS spread of the functions.
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