The analysis of the scattering by a tilted perfectly conducting strip buried in a lossy halfspace at oblique incidence is formulated as an electric field integral equation (EFIE) in the spectral domain and discretized by means of Galerkin’s method with Chebyshev polynomials basis functions weighted with the edge behaviour of the surface current density on the strip. In this way, a convergence o...

A unified and robust mathematical model for compressible and incompressible linear elasticity can be obtained by rephrasing the Herrmann formulation within the Hellinger-Reissner principle. This quasi-optimally converging extension of PEERS (Plane Elasticity Element with Reduced Symmetry) is called Dual-Mixed Hybrid formulation (DMH). Explicit residual-based a posteriori error estimates for DMH...

We demonstrate that a laser beam converging from a specific transverse mode is a bottle beam, as described in J. Opt. Soc. Am. B 20, 1220 (2003). To our knowledge, this is the first time that a bottle beam has been generated directly from a laser. By calculating the radiation forces on a dielectric Rayleigh sphere in the bottle beam, we show that the single beam can trap high-refractive-index p...

This paper presents the use of a dynamically adaptive mesh refinement strategy for the simulations of shock-driven turbulent mixing. Large-eddy simulations are necessary due the high Reynolds number turbulent regime. In this approach, the large scales are simulated directly and small scales at which the viscous dissipation occurs are modeled. A low-numerical centered finite-difference scheme is...

Basins generated by a noninvertible mapping formed by two symmetrically coupled logistic maps are studied when the only parameter λ of the system is modified. Complex patterns on the plane are visualized as a consequence of the basins’ bifurcations. According to the already established nomenclature in the literature, we present the relevant phenomenology organized in different scenarios: fracta...

It is theoretically shown how a Gaussian beam with finite number of parallel lines intensity nulls (edge dislocations) transformed using cylindrical lens into vortex that carries orbital angular momentum (OAM) and has topological charge (TC). In the initial plane, this already OAM, but does not have TC, which appears as propagates further in free space. Using an example two symmetrically locate...