Magnetic field spatial Fourier analysis: A new opportunity for high resolution current localization

Magnetic microscopy has proven its usefulness throughout the years. It allows current localization with a certain degree of precision by using an inversion algorithm to invert the Biot-Savart law. The goal is to obtain the current distribution once the magnetic field is given. However, in order to obtain a stable solution, the magnetic data is severely low-pass filtered in the spatial Fourier domain, and some important information is lost. In this paper, the contribution given by the different spatial frequencies was studied: it was demonstrated how this information can be used to obtain additional information regarding the position of the currents. A comparative study between the theoretical approach and the application to the measurements is also shown.