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It is shown in linear approximation that in the case of one-dimensionalproblem of transverse electron waves in a half-infinite slab of homogeneousMaxwellian collisionless plasma with the given boundary field frequency twowave branches of solution of the dispersion equation are simultaneouslyrealizing. These are the branch of fast forward waves determined mainly byMaxwell equations of electromagnetic field, as well as the branch of forwardand backward slow waves determined in the whole by kinetic properties ofelectrons in the collective electrical field. The physical nature of wavemovements is revealed. A relation is found between electric field amplitudes offast and slow waves. Multiform dividing the coupled slow waves into standingand traveling parts leads to a necessity of additional requirements to aselection of the type of a device analyzing these waves and its responseinterpretation.

Interrelation of fast and slow electron waves at propagation of electromagnetic waves in Maxwellian collisionless plasma