Mylar could be a good choice. I think if I was tasked with designing such a thing, I'd want also a clear material that could used to form a mylar balloon. The balloon could be inflated to create a parabola with little effort of trussing with a focal point outside the clear material.
Shiny parabolic or mirror use
Re: Shiny parabolic or mirror use
Financial Velociraptor - The Lizard King
-=Devour your prey raptors=-
-=Devour your prey raptors=-
Shiny parabolic or mirror use
So depending on the materials one may be able to save weight and costs to build a simple light reflecting unit.