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Of course, you have your good, old-fashioned Faraday cage.

But after staring at Maxwell's equations awhile, I'm thinking:

We're after a static E field, right?

So if we set ## \frac{\partial \textbf{E}}{\partial t}=0## in Ampere's Law, we get

$$\nabla\times \textbf{B}=\mu_0 \textbf{J}$$

Implying that if we can hold the current density ##\textbf{J}## static around a region of space, say with a constant current source, we'd effectively 'fix' the field in that region of space, thus blocking out any incident EM radiation (theoretically)?

For example, if we had a cylinder wrapped around in conducting wire, hooked up to a constant current source, would the field in the interior of the cylinder stay static regardless of what the field outside it was doing?