I'm working on a story universe that takes place mostly/entirely within a multi-layered Dyson sphere. The story is not hard sci-fi, but I am trying to ensure the physics or sci-fi elements "feel" like they make sense, even if they wouldn't pass a physicist's analysis. The layout of the sphere is:

* A white dwarf star/artificial star core, a little bigger than Earth. The shell around the star is made entirely of handwavium sci-fi solar panels to collect all the energy needed for the rest of the construct.
* Each successive layer outward from the core is a habitable zone where life forms can safely exist. I'm not certain exactly how many layers there are, but I do know that the layers are "thick" enough to provide atmospheres of at least equivalent to the Earth's. In other words, the "ceiling" of each layered habitat is at least 10,000 km above the "ground".
* Each layer will have its own ecology and day/night cycle. My question is twofold...

	1. Could the "ceiling" of each Dyson shell layer have its own sun/sunlamp that cast enough light to illuminate an entire hemisphere (and thus rotate around on a rail system of some kind, sort of like a sun-moon light source)? I am unsure since the sunlamp/light source would be much closer to the hab-layer's inhabitants than our own sun, so I don't know if the distance would be far enough to light everything.
	2. If 1. is not possible, how best would the sphere's creators go about lighting everything in each hab-layer? Would there be multiple suns/sunlamps in a given hemisphere that rotate around together to light the sphere in a sequence? A light band or line instead of a sun? Something else?

Thanks for any insights you can provide!