  In this work, we discuss theoretical findings on the common feature
describing nonradiating sources, based on equivalent sources from which it is
possible to derive cloaking devices and anapole mode conditions. Starting from
the differential form of Maxwell's Equations expressed in terms of equivalent
electromagnetic sources, we derive two unique compact conditions. By specifying
the nature of these passively induced or actively impressed current density
sources in certain volumes and (or) predefined surfaces, we derive theoretical
results consistently with the literature about nonradiating particles, cloaking
devices and anapole mode structures through peculiar destructive interactions
between volumetric-volumetric, volumetric-surface and surface-surface
equivalent sources.
