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Article
Publication date: 8 May 2009

Pierre Godard, Frédéric Zolla and André Nicolet

The purpose of this paper is to discuss two‐dimensional electromagnetic diffraction by a finite set of parallel nonlinear rods (optical Kerr effect). To point out the versatility…

184

Abstract

Purpose

The purpose of this paper is to discuss two‐dimensional electromagnetic diffraction by a finite set of parallel nonlinear rods (optical Kerr effect). To point out the versatility of this approach, a nonlinear (Kerr‐effect) finite crystal is considered.

Design/methodology/approach

In this paper, a new route for obtaining the scattered field by nonlinear obstacles is proposed. The basic idea consists in simulating the real incident field (e.g. plane waves) by a virtual field emitted by an appropriate antenna, located in a meshed domain, and encompassing or lying above the obstacles. This latest problem is then solved by a finite element method that is well suited to take into account the material inhomogeneities due to the nonlinearity of the permittivity.

Findings

The transmission through a finite Kerr crystal doped by a microcavity is given and a resonant wavelength is obtained. At this resonant wavelength, it is shown that the nonlinearity has a large influence on the behaviour of the electromagnetic wave.

Originality/value

Introducing the concept of virtual antenna, the paper proposes a rigorous treatment of the scattering of an electromagnetic wave by a bounded nonlinear obstacle of arbitrary shape.

Details

COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, vol. 28 no. 3
Type: Research Article
ISSN: 0332-1649

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Article
Publication date: 1 January 2006

André Nicolet and Frédéric Zolla

Proposes to posit a clear definition of the energy stored in general electromagnetic media.

381

Abstract

Purpose

Proposes to posit a clear definition of the energy stored in general electromagnetic media.

Design/methodology/approach

A general setting of thermodynamics using differential geometry is used and it is shown how the Poynting identity fits in.

Findings

A general method of defining the energy storage and dissipation in a general media is stated.

Research limitations/implications

It appears that the definition of the energy stored in a dispersive media is not a state variable and depends on the history of the field variation.

Practical implications

If an electromagnetic model has to be coupled to a mechanical or thermal one, the associated forces and/or heat dissipations may not be clearly defined if one merely knows the electromagnetic constitutive relations.

Originality/value

It proposes a very general setting for the thermodynamic of electrodynamic media.

Details

COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, vol. 25 no. 1
Type: Research Article
ISSN: 0332-1649

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Article
Publication date: 4 January 2008

Y. Ould Agha, F. Zolla, A. Nicolet and S. Guenneau

The purpose of this paper is to present a complete analysis of leaky modes within a microstructured optical fibre (MOF). Some new numerical results illustrating the versatility…

530

Abstract

Purpose

The purpose of this paper is to present a complete analysis of leaky modes within a microstructured optical fibre (MOF). Some new numerical results illustrating the versatility and accuracy of our approach are to be given.

Design/methodology/approach

A method involving both finite elements and perfectly matched layer (PML) is proposed.

Findings

A rigorous definition of the leaky modes is proposed that leads to a proof of the validity of the PML approach together with a rule for the choice of the PML parameters.

Originality/value

The choice of parameters associated with the PML are discussed in great detail. The accuracy of the constant of propagation (and especially the imaginary part) are highlighted.

Details

COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, vol. 27 no. 1
Type: Research Article
ISSN: 0332-1649

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Article
Publication date: 1 December 2002

S. Guenneau, S. Lasquellec, A. Nicolet and F. Zolla

In this paper, we study a new class of optical fibers to be utilized in future optics and optoelectronics. These so‐called photonic band gap (PBG) waveguides can be classified…

372

Abstract

In this paper, we study a new class of optical fibers to be utilized in future optics and optoelectronics. These so‐called photonic band gap (PBG) waveguides can be classified into a fundamentally different way to all optical waveguides and possess radically different guiding properties due to PBG guidance, as opposed to guidance by total internal reflection.

Details

COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, vol. 21 no. 4
Type: Research Article
ISSN: 0332-1649

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