Impedance Operator Description of a Metasurface with Electric and Magnetic Dipoles

A metasurface made of a collection of nanoresonators characterized by an electric dipole and a magnetic dipole was studied in the regime where the wavelength is large with respect to the size of the resonators. An effective description in terms of an impedance operator was derived.

On a hybrid Laplace-time domain approach to dynamic interaction problems

Dynamic interaction problems between two subdomains lead in time to convolution integrals on the interface when one (linear) subdomain is modelled by an impedance operator and the other exhibits non-linear behaviour. In the present work, a convolution quadrature method is used to address a Laplace transform-based approach to evaluate these convolution products. Its properties are discussed on some numerical soil–structure interaction applications: one that is fully linear and the other showing material non-linearities.