The RCWA method - A case study with open questions and perspectives of algebraic computations.
The solution of a singular integral equation with some applications in potential theory.
The transistor model of neuron and neuron net
The wave equation with one point interaction and the (linearized) classical electrodynamics of a point particle
Théorie nouvelle des ondes lumineuses.
Theta function identities from optical neural network transformations.
Time-dependent electromagnetic waves in a cavity
The electromagnetic initial-boundary value problem for a cavity enclosed by perfectly conducting walls is considered. The cavity medium is defined by its permittivity and permeability which vary continuously in space. The electromagnetic field comes from a source in the cavity. The field is described by a magnetic vector potential satisfying a wave equation with initial-boundary conditions. This description through is rigorously shown to give a unique solution of the problem and is the starting...
Time-discrete finite element schemes for Maxwell's equations
Topology and geometry of caustics in relation with experiments
Caustics of geometrical optics are understood as special types of Lagrangian singularities. In the compact case, they have remarkable topological properties, expressed in particular by the Chekanov relation. We show how this relation may be experimentally checked on an example of biperiodic caustics produced by the deflection of the light by a nematic liquid crystal layer. Moreover the physical laws may impose a geometrical constraint, when the system is invariant by some group of symmetries. We...
Total ponderomotive force on an extended test body.
Trajectoires bornées d'une particule soumise à un champ magnétique symétrique linéaire
Trajectoires bornées d'une particule soumise à un champ magnétique symétrique linéaire
Transformation of divergence theorem in dynamical fields
In this paper we will study the flux and the divergence of vector in dynamical fields, on the basis of conventional divergence definition and using the conventional method to find the vector flux. We will reveal that vector flux and divergence of vector do not vanish in dynamical fields. In terms of conventional EM field formalism, we will show the changes appearing in dynamical fields.
Two Hartree-Fock models for the vacuum polarization
We review recent results about the derivation and the analysis of two Hartree-Fock-type models for the polarization of vacuum. We pay particular attention to the variational construction of a self-consistent polarized vacuum, and to the physical agreement between our non-perturbative construction and the perturbative description provided by Quantum Electrodynamics.
Two-dimensional electrostatic problem in a plane with earthed elliptic cavity due to one or two collinear charged electrostatic strips.