lwjgl - draw curve with "effects"

[Phibedy]

Hi, I would like to create something like: (Not the game, just the glowing ray) http://troublmaker.files.wordpress.com/2010/08/voidray.jpg
I tried myself with particles but they are not that awesome. In addition my ray isn't straight, it is inflected by some forces.
I am wondering about creating a line that isn't that angled.
I have serveral forces on my map. The ray is pushed or pulled by them -> a curve. At the moment I create an array of Points that describe my curve and then I am using lines to connect them.
Maybe it wouldn't look angled if the "glowing wabble effect is added to the line", how would you create something like that?
best regards

[theagentd]

Shaders? Animate it with a nice texture making it look like a beam weapon?