This work focuses on development of a mathematical apparatus that allows to perform an approximate description inhomogeneities finite sizes in continuous bodies by arranging the sources given sets smaller dimensions. The structure and properties source densities determine adequacy model. theory differential forms generalized functions underlies this study. boundary value problems with nonsmooth...

Temporal Kerr cavity solitons are pulses of light that can persist in coherently-driven, dispersive resonators with Kerr-type nonlinearity. It is widely accepted such react to parameter inhomogeneities by experiencing a temporal drift whose rate governed the gradient at soliton's position. This result, however, assumes inhomogeneity constant across soliton, which may not hold true under all sit...

We present ab-initio calculations of effective magnetic exchange, J , as well as Hubbard parameters (t, U and δε) as a function of the local distribution of doping atoms for the high-Tc superconducting (CaxLa1−x)(Ba1.75−xLa0.25+x)Cu3Oy family. We found that both the exchange and the energies of the magnetic orbitals are strongly dependant on the local dopant distribution, both through the induc...

We develop a fast and accurate solver for the forward problem of diffusion tomography in the case of several spherical inhomogeneities. The approach allows one to take into account multiple scattering of diffuse waves between different inhomogeneities. Theoretical results are illustrated with numerical examples; excellent numerical convergence and efficiency are demonstrated. The method is gene...

Impedance tomography seeks to recover the electrical conductivity distribution inside a body from measurements of current flows and voltages on its surface. In its most general form impedance tomography is quite ill-posed, but when additional a-priori information is admitted the situation changes dramatically. In this paper we consider the case where the goal is to find a number of small object...

Wolf-Rayet stars are the evolved descendents of massive stars. Their extraordinary properties make them useful tracers of the stellar initial mass function (IMF) in a young stellar population. I discuss how the interpretation of spectral diagnostics are complicated by the interplay of stellar, nebular, and dust properties. There is mounting observational evidence for spatial inhomogeneities in ...

2014 Thick SOI layers obtained by zone melting with and without seeds, respectively, have been investigated by EBIC with respect to their electrical properties (electrical homogeneity, electrically active defects, minority-carrier diffusion length). A variety of inhomogeneities being partly of complex origin has been observed. Their formation is affected by existence of seeds. Besides usual dar...

We present an analytic solution for the scattering of diffuse photon density waves by spherical inhomogeneities within turbid media. The analytic result is compared to experimental measurements. Close agreement between theory and experiment permits the use of the theory to determine the properties of unknown sphere-like objects embedded in turbid media. The analytic solution is extended to enco...