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| MOPPH037 |
Theory of Radiation of Electrons in the Field of a Linear Polarized Stationary Electromagnetic Wave
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122 |
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- I. V. Drebot, Yu. N. Grigor'ev, A. Y. Zelinsky
NSC/KIPT, Kharkov
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In the paper the results of exact integration of Lorentz equation for a free electron in the field of a linear polarized stationery electromagnetic wave are presented. Stationary wave is considered as a sum of two running in opposite directions linear polarized waves. Single integration of projections of equations on coordinate axes allows to reduce the task to solution of nonlinear equation of the second order for electron coordinate. The axis of projection coincides with a wave line. For approximate integration of the second order equation the expansion on two small parameters are used. Velocity and coordinate of electron in parametric form are presented in the paper. It is shown that under interaction of a relativistic electron with stationary wave there is a motion, which has a beat character. The amplitude and period of the beating were calculated.
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