Wave Nature of the Transverse Doppler Effect and the Red and Blue Frequency Shift Anomaly in an Electromagnetic Wave from a Moving Radiation Source

The electromagnetic field of a harmonic oscillator moving at a constant velocity has been analyzed. The expression for calculating the Doppler frequency shift at relativistic velocities of its motion is derived using the classical electromagnetic theory. It is shown that the transverse Doppler effect is a special case and also differs from zero in the wave theory. With an increasing velocity of the radiation source, the red frequency shift in an electromagnetic wave prevails over the blue shift more strongly. The noncontradictory nature of the proposed model relative to the well-known experimental data has been demonstrated.