Recent progress in experimental techniques has made the quantum regime plasmonics accessible. Since plasmons correspond to collective electron excitations, electron–electron interaction plays an essential role their theoretical description. Within Random Phase Approximation, this is incorporated through a system of equations motion, which be solved self-consistently. For homogeneous media, anal...

A theory is presented for propagation of waves in bounded media near the mobility edge, based on the self-consistent theory for localization. It predicts a spatially inhomogeneous diffusion constant that leads to scale dependence in enhanced backscattering and transmission.

P2DHMMs manage the assignment of observations to states quite well, whereas the calculation of probabilities is a great problem. To overcome some of the defects of P2DHMMs we propose the inhomogeneous P2DHMM (IP2DHMM). In contrast to some other approaches it is able to model consistently state duration and observation matrices of fixed height at no additional cost in computational load and numb...

– We generalize the invariant imbedding theory of the wave propagation and derive new invariant imbedding equations for the propagation of arbitrary number of coupled waves of any kind in arbitrarily-inhomogeneous stratified media, where the wave equations are effectively one-dimensional. By doing this, we transform the original boundary value problem of coupled second-order differential equati...

This paper provides a theoretical basis to directly estimate moments of transverse relaxation time T(2) from measured CPMG data in grossly inhomogeneous fields. These moments are obtained from Mellin transformation of the measured CPMG data. These moments are useful in computing petro-physical and fluid properties of hydrocarbons in porous media. Compared to the conventional method of...

The existence of traveling waves in strongly inhomogeneous media is discussed in the framework of the one-dimensional linear wave equation with a variable speed. Such solutions are found by using a homogenization, when the variable-coefficient wave equation transforms to a constant-coefficient Klein-Gordon equation. This transformation exists if and only if the spatial variations of the variabl...