- #1

peasqueeze

- 7

- 2

If I look at one crest, treat it as a particle moving in a concave up parabola I have...

$$\vec{E} = E\hat{y} , \vec{B} = B\hat{z}$$

Now, this is only for a single parabola. I need to make it so that the particle reaches a turning point and goes backwards along the same parabola (to the left now). I think this can be done by making B oscillate between a positive and negative value.

I also need to add a "group velocity" so that a string of these parabolas will create a chain like that seen in (d). In my example, though, the parabolas should be moving downwards.

TO SIMPLIFY:

1. What E and B fields (can be time dependent) will cause a charged particle to oscillate along a parabola

2. What can be done to include a drift/ group velocity so that the parabolas move in one direction.