I'm not sure, but we can clearly see a significant portion of negative-index metamaterials in development are 2-dimensional structures. I find it confusing because it would seem to contradict your earlier insight.
Single-layer metamaterials with large surface area but little volume seem to be quite common, in fact. Maybe your conclusion is based on research done before the more recent breakthroughs?
Again, these are obvious things that I shouldn't have to say. Everyone should make an effort to understand before responding. If the wave is a surface wave, it is the surface dimensions that must be > lambda. If it is in a volume, it is the dimensions of the volume. If the wave straddles two media, both must be taken into account for its propagation, but this is not the subject here, nor is it of any interest in the debate, since it could not change the enormous order of magnitude of the volume required, for example at 10 MHz, unless one were to accept that for the propagation of the wave, only 0.1% of the volume of the medium of interest is required, while 99.9% of the wave would propagate elsewhere!
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"Open your mind, but not like a trash bin"
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