Schematic illustration of plasmoid formation and emission regimes associated with the different families of self-similar solutions. (a) Magnetic reconnection in the magnetar magnetosphere leads to the formation of a magnetically confined plasmoid embedded within the closed-field region. (b) Emission properties of plasmoids corresponding to different plasmoid regimes: P-type solutions (overdense) predominantly emit high-energy radiation (X-rays and γ-rays), whereas Z- and N-type solutions (underdense magnetically dominated configurations) correspond to low-density plasmoids capable of producing coherent radio emission.