Universal Reconstruction of Local Magnetization from Magnetic Field Maps

Imaging intricate magnetic structures is vital for advancing many fields. While magnetic field distributions are typically measured through various available imaging methods, accurately reconstructing the underlying structures from these maps remains a challenge. This work introduces a novel and efficient method for reconstructing magnetic source quantities (spatially varying spin density) from measured magnetic fields with minimum prior assumptions. Under realistic experimental conditions, we validate the method through simulations of diverse spin structures, such as multi-domain ferromagnetism and magnetic spin textures. Additionally, we apply this technique to investigate experimentally measured magnetic field obtained from wide-field nitrogen-vacancy (NV) microscopy. Our approach provides a flexible tool for investigating local magnetization and offers guidance for future quantum sensing experiments.