Empirically, we know that a mesh screen to block EM waves, must have mesh size much smaller than the wavelength. e.g. microwave oven
What I find perplexing, intuitively, is the geometry underlying this heuristic. The wavelength is defined in the z direction (Poynting vector of motion). But the mesh plane is the x,y plane, perpendicular to velocity.
How to reconcile this discrepancy?