Background: This paper presents a comprehensive theoretical investigation of the anomalous electromagnetic wave propagation and resonances around the trapped modes embedded in graphene dielectric stacks. Results: Expressions for the dispersion relation, the condition of the trapped mode, the transmission coefficient, and the instantaneous field components through the graphene stack are derived....

Abstract A high-pressure optical absorption study and Raman and infrared spectroscopy are carried out on hafnium tungstate (HfW2O8) at room temperature. The band gap decreases rapidly with pressure until ∼9 GPa is reached, increases between 9 and 16 GPa, and slowly decreases with pressure from 16 to 47 GPa. The changes under pressure of the vibrational modes have been studied, and an estimate o...

Scattering matrices with block symmetry, which correspond to a scattering process in cavities with geometrical symmetry, are analyzed. The distribution of the transmission coefficient is computed for a different number of channels in the case of a system with or without the time-reversal invariance. An interpolating formula for the case of gradual time reversal symmetry breaking is proposed. @S...

We study analytically and numerically a model describing front propagation of a KPP reaction in a fluid flow. The model consists of coupled one-dimensional reactiondiffusion equations with different drift coefficients. The main rigorous results give lower bounds for the speed of propagation that are linear in the drift coefficient, which agrees very well with the numerical observations. In addi...

Making use of a certain operator of fractional derivative, a new subclass Fλ(n, p, α, μ) of analytic and p-valent functions with negative coefficients is introduced and studied here rather systematically. Coefficient estimates, a distortion theorem and radii of p-valently closeto-convexity, starlikeness and convexity are given. Finally several applications involving an integral operator and a c...

We study the scattering of massless Dirac particles by oscillating barriers in one dimension. Using the Floquet theory, we find the exact scattering amplitudes for time-harmonic barriers of arbitrary shape. In all cases the scattering amplitudes are found to be independent of the energy of the incoming particle and the transmission coefficient is unity. This is a manifestation of the Klein tunn...

We have described a SIR simulation model for the influenza AH1N1 virus including variable population, periodic transmission coefficient and constant vaccination rate for any age and time. Also, it has been considered the natural mortality rate due to the infection. We analyze the model by means of simulations using several scenarios. The epidemic threshold, that is time and seasonality dependen...