Multiphysics Metamaterials - Theory and Engineering Applications

Tailoring waves by micro-scale material engineering: analysis, synthesis, and evaluation methods

Metamaterials are materials exhibiting unconventional physical/mechanical properties that cannot be readily found in nature. They have a foundation in electromagnetics, but at the same time they have found wide applications in several engineering acoustics/electrodynamics/mechanics disciplines. The analysis and the synthesis of such materials, often physically realized as macro-scale aggregations of micro-scale/periodic arrangements of identical unit cells, requires sophisticated modeling and design methodologies that are currently at the edge of the research. The course aims at providing the fundamentals of multiphysics metamaterials theory and concepts, along with an overview of the most effective analysis/synthesis techniques and their most appealing/emerging applications in advanced engineering fields. Applicative examples including exercises will corroborate the theoretical concepts.

Course topics

  • Fundamentals and basic theory/concepts of multiphysics metamaterials;
  • Volumetric and surface metamaterials (i.e., metasurfaces), soft/hard surfaces, periodic and quasi-periodic surfaces;
  • Advanced modeling and simulation techniques for the analysis of periodic and quasi-periodic structures with a focus on Floquet modes theory;
  • Advanced design techniques for the synthesis of innovative metamaterials in engineering fields;
  • Applicative examples including exercises regarding specific engineering applications of multi-physics metamaterials.


  1. D. H. Werner and D. H. Kwon, Transformation Electromagnetics and Metamaterials, Fundamental Principles and Applications, Springer, 2014.
  2. J. Surjadi et al., "Mechanical metamaterials and their engineering applications," Advanced Engineering Materials, vol. 21, no. 3, p. 1800864, 2019.
  3. A. Massa and G. Oliveri, "Metamaterial-by-Design: Theory, methods, and applications to communications and sensing - Editorial," EPJ Applied Metamaterials, vol. 3, no. E1, pp. 1-3, 2016.
  4. G. Oliveri, D. H. Werner, and A. Massa, "Reconfigurable electromagnetics through metamaterials - A review" Proc. IEEE, vol. 103, no. 7, pp. 1034-1056, Jul. 2015.