The three-dimensional radiative transfer equation is solved for modeling the light propagation in anisotropically scattering semi-infinite media such as biological tissue, considering the effect of internal reflection at the interfaces. The two-dimensional Fourier transform and the modified spherical harmonics method are applied to derive the general solution to the associated homogeneous probl...

In this paper the Semi-Analytical Finite Element (SAFE) method for modeling guided wave propagation is extended to account for linear viscoelastic material damping. Linear viscoelasticity is introduced by allowing for complex stiffness constitutive matrices for the material. Dispersive characteristics of viscoelastic waveguides, such as phase velocity, attenuation, energy velocity and cross-sec...

This paper presents a wideband modeling methodology for on-chip coplanar single and coupled transmission lines over the conductive silicon substrate. Cost effective, semi analytical models have been developed, being purely based on explicit expressions. Silicon substrate induced loss and dispersion effects are considered, as well as the skin and proximity effects, while accounting for thick met...

We analyze numerically a forward-backward diffusion equation with a cubiclike diffusion function, –emerging in the framework of phase transitions modeling– and its “entropy” formulation determined by considering it as the singular limit of a third-order pseudo-parabolic equation. Precisely, we propose schemes for both the second and the third order equations, we discuss the analytical propertie...

Abstract—We present exact three-dimensional semi-analytical expressions of the force exerted between two coaxial thick coils with rectangular cross-sections. Then, we present a semi-analytical formulation of their mutual inductance. For this purpose, we have to calculate six and seven integrations for calculating the force and the mutual inductance respectively. After mathematical manipulations...

In this paper, we propose a methodology for estimating the statistics of the intercell interference power in the downlink of a multicellular network. We first establish an analytical expression for the probability law of the interference power when only Rayleigh multipath fading is considered. Next, focusing on a propagation environment where small-scale Rayleigh fading as well as large-scale e...

An issue in operating a national electric system is how the corporate image of an Independent System Operator (ISO) can be impacted by disturbances in the system and their related news publications from specialized press. To deal with it, a solution was developed in the context of the Brazilian Electric System National Operator (ONS): an analytical system for disturbances analysis integrating b...