parameters and multiple regression analysis. The variation in the activity of N-(ca-substituted benzyl) derivatives was shown to be related parabolically with variation in the steric dimension of the substituents. The greater the hydrophobicity of substituents is, the greater the activity is. The variation in the steric dimension of the benzene ring substituents was responsible for the activity...

We report one-dimensional (1-D) parabolic-beam photonic crystal (PhC) lasers in which the width of the PhC slab waveguide is parabolically tapered. A few high-Q resonant modes are confirmed in the vicinity of the tapered region where Gaussian-shaped photonic well is formed. These resonant modes originate from the dielectric PhC guided mode and overlap with the gain medium efficiently. It is als...

To a good approximation, the electromagnetic-propagation characteristics of graded-index waveguides can be written in terms of polynomial-Gaussian modes. For uniform quadratic-index waveguides the behavior of these modes is well known. However, there are sometimes practical reasons for using tapered waveguides, but detailed propagation solutions are known for only a few specific taper functions...

The aim of this paper is twofold. first to study the asymptotics a parabolically scaled, continuous and space-time stationary in time version well-known Funaki-Spohn model Statistical Physics. After change unknowns requiring existence eternal solution stochastically perturbed heat equation, problem transforms qualitative homogenization uniformly elliptic, stationary, divergence form, nonlinear ...