The Direction of Pulses Emitted by a Relativistically Oscillating Charge G.R.Dixon, 7/14/2004
Note: The program used to generate the data for this article’s figures can be viewed by clicking on this link. G.R.Dixon, 7/14/2004 Note: The program used to generate the data for this article’s figures can be viewed by clicking on this link. In a previous article it was demonstrated that a 1-coul point charge, with motion x = A sin(wt), wA = .9999c, (1) emits radiation in highly directional pulses each time the charge passes through the origin. For an amplitude of A=1 meter, the period of oscillation is t=2.096E-8 seconds. Figs. 1a and 1b depict the energy flux per quarter cycle vs. azimuth angle. In Fig. 1a the quarter period runs from -t/8 to t/8, and thus depicts the direction of the emitted pulse when q passes through the origin traveling in the positive x-direction. Fig. 1b covers the time between 3t/8 and 5t/8, and thus depicts the direction of the emitted pulse when q passes through the origin traveling in the negative x-direction. It is clear in the figures that a pulse of radiant energy is emitted in the direction of q’s velocity each time it passes through the origin. Figure 1a
Energy Flux per Quarter Cycle, - Energy Flux per Quarter Cycle, - Energy Flux per Quarter Cycle, -t/8<t<t/8 /8 /8 /8Figure 1b
Energy Flux per Quarter Cycle, 3 Energy Flux per Quarter Cycle, 3t/8<t<5t/8 |