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In many plasma systems, magnetic reconnection plays a crucial role in particle acceleration. In Earth's magnetotail, reconnection releases a significant portion of the stored magnetic energy (which is primarily converted into ion enthalpy) behind intense electromagnetic boundaries called dipolarization fronts. Dipolarizing flux bundles behind these fronts accelerate ambient plasma and transport charged particles from the magnetotail to near-Earth space. Appropriate modeling of such flux bundle-particle interactions requires self-consistent models that describe both the bundle's electromagnetic fields and the magnetotail's static background magnetic field. We develop a 2D solution of the Vlasov-Maxwell equation for a magnetotail with an embedded dipolarization front and generalize this solution to a 3D system. Our 3D model describes both global (within the magnetotail) and local (around the front) electromagnetic field distributions and a consistent distribution of plasma. The magnetic field topology in our model agrees with that deduced from multispacecraft observations. Our model can be used for a test particle tracing and investigation of particle acceleration/transport by dipolarization fronts in planetary magnetotails. [ABSTRACT FROM AUTHOR]