A Universal Method for the Study of Transformable Waves in Metamaterials

Explore a seminar presentation by Professor Gennady Mishuris from Aberystwyth University discussing a universal analytical method for studying transformable waves in metamaterials. Delve into the powerful technique originally developed by Leonid Slepyan in 1981 for analyzing dynamic fracture in discrete structures and understanding lattice trapping phenomena. Learn how this method, which naturally leads to Wiener-Hopf equations, serves as an effective tool for examining problems in periodic structures with moving defects and boundaries. Discover the method's application to metamaterial destruction, including its relationship to matrix factorization, while understanding both its capabilities and limitations. Examine several fundamental scalar problems that demonstrate recent developments in the field and identify remaining research challenges in this hour-long academic presentation delivered at the INI Seminar Room 2 as part of the Mathematical Theory and Applications of Multiple Wave Scattering series.