Fig. 3

The gyration orbit of a relativistic electron based on Eqs. (20) and (21). The initial velocity \( \widehat{z}\ {z}_0=\widehat{z}\ {10}^8 \) m/s at ( t = 0), E (t) = \( -\widehat{z}\ {10}^3\ cos\omega t\ \mathrm{V}/\mathrm{m} \), \( \kern0.5em {\omega}_c=q\ \left|\widehat{y}\ \mathbf{B}\right|{\left(1-{z}_0^2/{c}^{"}\right)}^{1/2}/{m}_e \) \( ={10}^8\ {\left(1-{z}_0^2/{c}^{"}\right)}^{1/2}{\sec}^{-1} \). The flight time t = 0~6 (2π/ω_c ) sec. An electron rotates about six times. The dots mark each time increment of 2π/ω_c sec. This figure is related with Fig. 1a