The paper considers new basic functions for decomposition of scalar and vector potentials of nonstationary nonharmonic electromagnetic fields excited in dispersible electrodynamic systems by flows of charged particles. These are so called partial functions of electrodynaniic systems (synonyms: partial oscillators, oscillets). Their distinctive feature, compared to eigenfunctions of electrodynaniic systems, is spatial localization. Oscillets make it possible to obtain equally visual solution of the wave equation both at the initial stages of transients and under steady-state conditions. They are also preferable during the numerical analysis of field excitation in electrodynaniic systems with a continuous spectrum of eigenfunctions.
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