Inverse homogenization of a quasiperiodic composite
Elena Cherkaev, Sébastien R. L. Guenneau, Niklas Wellander · 2018 12th International Congress on Artificial Materials for Novel Wave Phenomena (Metamaterials) · 2018
The paper deals with inverse homogenization of an electrostatic problem where the geometry on a microscopic scale is given by a quasiperiodic distribution of piecewise constant components defined by the use of a mapping R: ℝn→ ℝm, m > n, and a periodic unit cell in ℝm. Inverse homogenization makes use of a Stieltjes analytic representation for the effective complex conductivity, which depends upon R, unlike for the periodic case.