The Direction of Pulses Emitted by a Relativistically Oscillating Charge

G.R.Dixon, 7/14/2004

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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

/8

Figure 1b

Energy Flux per Quarter Cycle, 3

Energy Flux per Quarter Cycle, 3t/8<t<5t/8