Calibration of Multicomponent Magnetic Measuring Systems as an Inverse Problem of Magnetometry

Abstract

We propose a method for calibration of the systems with multicomponent emitter and sensor. This method guarantees the possibility of simultaneous determination of a collection of parameters of this system. The magnetic-field induction is measured at the points of location of components of the sensor in its motion over the plane with marking specified by a single parameter (size of the cell). The objective function is formed according to the processed data of measurements and its global minimum is found by the methods of nonlinear programming. This problem has a unique solution if one of the magnetic parameters of the system, namely, the transmission coefficient of one component of the sensor or the magnetic moment of one component of the emitter, is a priori known. We propose a procedure for the evaluation of the error of positioning of the multicomponent emitter and magnetic-field sensor.