A remarkable feature of half-wave matching is that there is no restriction on the permittivity or permeability of the slab, and the only constraint on the media in Regions 1 and 3 is that they have eq...A remarkable feature of half-wave matching is that there is no restriction on the permittivity or permeability of the slab, and the only constraint on the media in Regions 1 and 3 is that they have equal wave impedance. This is a good application for half-wave matching because the material on either side of the slab is the same (presumably free space) whereas the material used for the slab is unspecified.