Electrodynamic interpretation of the results of electron dynamics modeling using the discrete element method

Abstract

This paper considers the algorithm for processing dynamic and kinematic data, generated by solving the problem of the single particle motion, by the method of discrete elements. The algorithm is aimed at obtaining the basic electrodynamics system parameters, such as the time diagram of the electric and magnetic field strengths at the observation point, its amplitude and phase spectra. The features of the algorithm and the proposed modeling method are explained on the trivial example of the oscillating electron. One of the considered features is the automated accounting of the particle inertia which leads to a peculiar jerk (change in acceleration) of the particle during dynamic modeling, even when it is moving constantly. Another important feature is the sudden interruption of the electric field strength at the moment of interruption of the simulation; the similar situation is occurred when starting the simulation procedure. This explains the fact that even for the particle at rest, the returned spectrum is continuous and periodic. Accounting and highlighting these features is an important part of the purposed algorithm. The electrodynamics parameters of the system are expressed through the classical notation of the Lienard-Wiechert potentials. The complex spectrum is obtained as a result of the fast Fourier transform. MercuryDPM is the solver engine for the discrete element method implementation. Data processing is carried out in the Maxima computer algebra system. The structure of the output file according to the software specification is described in detail. We use the problem of the charged oscillator as a modeling example. Zeyde K. M. Electrodynamic interpretation of the results of electron dynamics modeling using the discrete element method. Ural Radio Engineering Journal . 2020;4(1):33–50. DOI: 10.15826/urej.2020.4.1.003