We use the master equation approach to calculate the energy level shifts of an atom in the presence of a general dielectric semi-infinite medium characterized by a dielectric constant ǫ(ω). Particularly, we analyze the case of a non-dispersive medium for which we obtain a general expression for the interaction as well as the asymptotic behaviors for k0z ≪ 1 (non-retarded regime) and k0z ≫ 1 (re...

2014 If a (d 2014 1)-dimensional surface of a d-dimensional semi-infinite medium has a concentration pS different from the bulk concentration pB one may imagine that percolation is possible even if both pB and pS are below the dand (d 2014 1)-dimensional threshold, respectively. We give simple arguments, partly confirmed by Monte Carlo experiment, why this effect occurs for d = 3 but not for d ...

We show how the velocity half-sphere model S. Menon, Q. Su, and R. Grobe, Phys. Rev. E 72, 04191

Using a TE/TM decomposition for an angular plane-wave spectrum of free random electromagnetic waves and matched boundary conditions, we derive the probability density function for the energy density of the vector electric field in the presence of a semi-infinite isotropic medium. The theoretical analysis is illustrated with calculations and results for good electric conductors and for a lossles...

We demonstrate that specific surface superlattice gap solitons can be supported at an interface between a one-dimensional photonic superlattice and a uniform medium with saturable nonlinearity. The solitons are stable in the semi-infinite gap but do not exist in the first gap. With the decrease of the power, the solitons jump from the surface site to the next one, and they may continue the moti...

in this paper, convex semi-infinite programming is converted to an optimal control model of neural networks and the optimal control model is solved by iterative dynamic programming method. in final, numerical examples are provided for illustration of the purposed method.

A quasi-static analysis of an open-ended coaxial line terminated by a semi-infinite medium on ground plane is presented in this paper. The analysis is based on a vtiriation formulation of the problem. A comparison of results obtained by this method with the experimental and the other theoretical approaches shows an excellent agreement. This analysis is expected to be helpful in the inverse prob...

Abstract—This paper presents the heat and mass driven natural convection succession in a Darcy thermally stratified porous medium that embeds a vertical semi-infinite impermeable wall of constant heat flux and concentration. The scale analysis of the system determines the two possible maps of the heat and mass driven natural convection sequence along the wall as a function of the process parame...

The dynamic, nonlocal and spatially inhomogeneous polarizability and dielectric function are discussed in this paper for a Coulomb-coupled system of a periodic lateral superlattice array of one-dimensional quantum wire plasmas in the vicinity of a semi-infinite bulk plasma. The spacetime matrix inverse of the dielectric function, i.e: the dynamic, nonlocal, inhomogeneous screening function of t...