Publikace ÚTF

We apply a homogenization process to the acoustic velocity potential wave equation. The study of various
examples shows that the resulting effective properties are different from those of the homogenized pressure
wave equation for the same underlying acoustic parameters. A careful analysis reveals that a given set of
inhomogeneous parameters represents an entirely different physical system depending on the considered equation.
Our findings unveil a different way of tailoring acoustic properties through gradients of the static pressure. In
contrast to standard metafluids based on isobaric composites, this alternative kind of metafluid is suitable for the
implementation of transformational devices designed via the velocity potential equation. This includes acoustic
systems in a moving background or arising from general space-time transformations. As an example, we design
a device able to cloak the acoustic velocity potential.