Space-time computation and visualization of the electromagnetic fields and potentials generated by moving point charges

We present a computational methodology to directly calculate and visualize the directional components of Coulomb, radiation, total electromagnetic fields, as well scalar vector potentials, generated by moving point charges in arbitrary motion with varying speeds. Our method explicitly calculates retarded time charge along discretized grid which is then used determine fields potentials. The approach, implemented Python, provides an intuitive understanding waves can be pedagogical tool for undergraduate graduate-level theory courses. computer code, freely available download, also approximate complicated time-varying continuous current densities, conjunction grid-based numerical modeling methods solve real-world electromagnetics problems, such experiments high-energy electron sources. simulate discuss several interesting example applications lab including electric magnetic dipoles, oscillating linear accelerating charges, synchrotron Bremsstrahlung.