Real-time animation of synchrotron radiation

New mathematical method has been developed to compute radiation field from a moving charge in free space. It is not based on the retarded potential or its derivation [R.Y. Tsien, Picture of dynamic electric fields, Am. J. Phys. 40, 1972]. It solves conformal mapping of electric field lines based on the following two facts: (1) once a wave is emitted from a particle, it propagates as a spherical wave. The wavelet (a part of the wave-front) runs with speed of the light, and does not change its direction, (2) the initial direction of the wavelet is determined by the Lorentz transformation between the electron-rest-frame to the laboratory frame, which gives the light aberration effect. 2D radiation simulator has been developed based on this method, which simulates synchrotron, undulator and dipole radiation in time domain [T. Shintake, Simulation of field lines generated by a moving charge, private note 1984 March 19 at KEK, not published].