Let's define a screen as a surface emitting light in all directions.
What I'm trying to find out is if there is an optical method that allows bundling the emitted light to be focused on a single point in space, behind which an inverse image of the screen would be projected much like a camera obscura, while allowing more light than if the principle of a camera obscura would be actually used. I am not trying to just achieve a camera, the fact that the light must be bundled into a singular point in space is of importance.
The above shows a less than ideal solution using a camera obscura and an ideal lens.
An ideal lens will focus the light, but not in the same point in space.
The screen cannot be placed very far from the focusing solution, so just placing it far enough away to assume parallel light rays, then using a lens to focus is not acceptable.
Thanks for any help in advance.
