I would like to reflect EM waves (power density will be a few W per m2) at room temperature. The H field of the reflected wave should be inverted (shifted by 180 degrees), so the reflection has to be based mainly on magnetic dipoles, not on electric dipoles nor on conductivity; i. e. the relative permeability of the mirror should be considerably larger than its relative permittivity. There will be only a weak DC bias H field or none at all; the material will certainly not be saturated. S11 in the range from 0 dB to -3 dB would be great, but I guess something about -10 dB is more realistic.
Ferrite tiles would be fine but the datasheets usually assume that the purpose is absorption not reflection; so return loss is given for the case that the tiles are backed by a conducting sheet. Therefore the given return loss is partly caused by the superposition of the waves reflected from the ferrite and from the metal.
Do you know of a commercially available material well suited as a magnetic mirror in the frequency band mentioned above? I would greatly appreciate any hints, and, additionally, links to distributors!