I'd like to see curving beams myself... it's yet another thing you can use for a number of
purposes both offensively and defensively.... it add's an element of strategy.
As for examples of curved beams, you might look up Zone of the Enders,
Crest/Banner of the Stars (which those were mines - but the large panoramic
shots of fleets sending out thousands of seeking warheads still looked great), Robotech,
Juraian ships, Gundams, we could probably come up with a bunch more...
The idea of having to fight in a small space between two black holes, where if someone
gets too close to the event horizon, they get sucked away... sounds good. Then the
curving beams would become necessary. In the Star Wars NJO, singularities were created
to act as ship shields.... but you had to overload the creature creating the hole, or hit it in such a way so some of the shots actually hit their target.
How bout a base that needs to defend?
Call em' "flexitron beam cannons" or "variable arc lasers" or "zigzag batteries."
As to curving something.... typically it looks like an arc, a "U", or some kind of curly-q...
If you want a "explanation" to fill in the theoretical hole - say it takes the path of least resistance... (lightning) but you'd need almost another targeting system for something like that....
Granted lightning would be closer to a railgun effect, but we are still on the fringe of electricity, eat, plasma, and the related forces thereof.
You could set up a chain system, where you "bounce" the beam off one of your own ships to
hit one further down the line... call it a "phase reflection shielding system" - kind of like a game of billiards almost... with the bumpers and pockets.
In the end, you can simply say - "build it, and they will come"
