This paper gives a bibliographical review of the finite element methods (FEMs) applied to
the analysis and simulation of smart materials and structures. The bibliography is an …

The main objective of this paper is to solve an inverse eigenvalue problem that consists (for
a given frequency) in seeking for a suitable graded-index optical fiber able to carry …

We present a general procedure based on the pseudo-differential calculus for deriving
artificial boundary conditions for an eigenvalue problem that characterizes the propagation …

It is known that the mathematical problem of calculating guided modes propagating in
optical fibers, having a homogeneous cladding, is posed in the whole bi-dimensional plane …

To study the propagation of guided modes in an optical fiber under weak guidance
assumptions, we usually use a scalar approximation of the Maxwell's system which …

This paper describes a numerical technique for determining the best approximation of the
exact refractive index (of an optical fiber having a circular cross section), allowing a better …

We analyse mathematically the problem of determining refractive index profiles from some
desired/measured guided waves propagating in optical fibres. We establish the uniqueness …

Cette thèse explore la modélisation et le calcul des modes électromagnétiques (EM) dans
des guides d'ondes de géométries complexes, notamment dans des câbles électriques …

Résumé Le calcul des modes guidés dans une fibre optique à gaine homogène, dans le cas
scalaire, est un problème aux valeurs propres posé dans tout le plan R 2. La principale …

In the two papers1, 2 recently published, the authors Hayat Rezgui and Abdelaziz Choutri
present deep studies, in both theoretic and numerical aspects, of two equivalent inverse …