Supramolecular interactions between molecules of the same or different nature determine to a great extent degree their applicability in many fields science. To this regard, planar polycyclic aromatic hydrocarbons (PAHs) and nanometric congeners, nanographenes (NGs), as well positively curved ones, for instance corannulene, have been extensively explored. However, negatively saddle-shaped NGs re...

The tantalizing prospect of harnessing the unique properties of graphene crumpled nanostructures continues to fuel tremendous interest in energy storage and harvesting applications. However, the paper ball-like, hard texture, and closed-sphere morphology of current 3D graphitic nanostructure production not only constricts the conductive pathways but also limits the accessible surface area. Here...

Microwave-invisible devices are emerging as a valuable technology in various applications, including soft robotics, shape-morphing structures, and textural camouflages, especially electronic countermeasures. Unfortunately, conventional microwave-absorbing metastructures bulk absorbers stretching confined, limiting their application deformable or special-shaped targets. To overcome such limitati...

This paper compares the theoretical effectiveness of bilinear approximation over quadrilaterals with linear approximation over triangles. Anisotropic mesh transformation is used to generate asymptotically optimally efficient meshes for piecewise linear interpolation over triangles and bilinear interpolation over quadrilaterals. For approximating a convex function, although bilinear quadrilatera...

We demonstrate numerically calculated electromagnetic eigenmodes of a 3D dome cavity resonator that owe their shape and character entirely to the Goos-Hänchen effect. The V-shaped modes, which have purely TE or TM polarization, are well described by a 2D billiard map with the Goos-Hänchen shift included. A phase space plot of this augmented billiard map reveals a saddle-node bifurcation; the st...

The paper considers the problem of nding saddle node bifur-cation points which are closest (in a local sense) to the power system operating point. This optimization problem leads to a set of equations which describe such critical points. Not all solutions of this set of equations are critical points. The paper therefore explores the nature and characteristics of solutions. A two stage algorithm...

In a previous study, we established that the attraction between electrically charged particles attached to a water/tetradecane interface is stronger than predicted on the basis of the gravity-induced lateral capillary force. Here, our goal is to explain this effect. The investigated particles are hydrophobized glass spheres of radii between 240 and 320 microm. Their weight is large enough to de...

(4) Mesh. These surfaces are less well known. They are saddle-shaped everywhere, thus their (integral) Gaussian curvature is negative, and their geometry is hyperbolic. They are confined between two planes, and can be described as porous lamellae. They can adopt constant mean curvature (ref. 1) , although the Gaussian curvature varies over the surface. Mesh surfaces are not minimal surfaces, si...