We propose a general topology optimization framework for metasurface inverse design that can automatically discover highly complex multi-layered meta-structures with increased functionalities. In particular, we present topology-optimized multi-layered geometries exhibiting angular phase control, including a single-piece nanophotonic metalens with angular aberration correction as well as an angl...

Polymer dynamics in time-dependent Matheron-de Marsily flows: An exactly solvable model. Abstract We introduce a new model of random layered media, extending the Matheron-de Marsily model: Here we allow for the flows to change in time. For such layered structures, we solve exactly the equations of motion for single particles, and also for polymers modelled as Rouse chains. The results show a ri...

A representative area of concern for fatigue crack growth in aircraft occurs in multi-layered metallic structures. Ultrasonic plate waves are currently being investigated by multiple initiatives to detect these types of flaws with a minimal number of sensors to enable Structural Health Monitoring (SHM). Previous work has focused on structures with one or two layers, coupled with modeling of the...

A thin-walled shell and a thick-walled mass (cylinder) in contact with it, made of different material, are structural elements many machines, apparatus, structures. The paper considers forced steady-state vibrations cylindrical structures filled layered viscoelastic material. study aims to determine the damping properties structurally inhomogeneous mechanical system under influence harmonic loa...