Hyperuniform materials

Hyperuniform stealthy materials have been systematically studied by Torquato et al. and offer the possibility for the construction of artificial materials which are not perfectly ordered and do not generate scattering loss. In particular, infinite stealthy distributions do not scatter over a contiguous frequency band from zero to some finite defined upper frequency bound.

We have examined two prototype problems of interest to electromagnetic engineers.

  • The radar cross section (RCS) of a finite flat surface comprising a finite number of point scatterers with no mutual interactions on a hyperuniform stealthy distribution. The study shows that the RCS generally falls mid-way between a perfectly ordered array of points and a Poisson distribution of points.
point scatterers bounded by a circle on a flat surface. Unit cell indicated.
  • The scattering lobes generated by an infinite flat frequency selective surface comprising dipoles on a hyperuniform stealthy distribution. The study shows that there are no grating lobes generated over the frequency band defined by the distribution. However, this is subject to the assumption that mutual interactions between dipoles are either absent or independent of position.
dipoles on a hyperuniform stealthy distribution within a unit cell