International Conference

Waveguides: asymptotic methods and numerical analysis

Waveguide6

Electric field inside an x-band hollow metal waveguide

During last decades, models of waveguides attracted much attention by physicists, mathematicians and engineers. This was motivated by many interesting mathematical questions and  by the progress in different fields of physics (semiconductor physics, optics, acoustics, water waves, elasticity…).

Sub-micron optical waveguides for microring and microdisk resonators based on current standard semiconductor processes

Sub-micron optical waveguides for microring and microdisk resonators based on current standard semiconductor processes

The waveguides are usually modeled by infinite planar strips and multidimensional cylinders or layers. From the mathematical point of view, the study of waveguides is strongly connected with the asymptotic analysis of problems involving differential operators, with some large scale ratio.
From one hand, theoretical works on asymptotic analysis (singularities at corners, boundary layers at periodic walls…) often involve the treatment of waveguides problems and spectral theory related questions.
Conversely, asymptotic approaches are useful in the study of waveguides: in particular,  existence of guided modes can be proved  by perturbation techniques (for a small deformation of the boundary for instance). Also asymptotic models can lead to efficient numerical methods.

It is a structure (usually a metal pipe or optical fibres) for transmitting electromagnetic wave

Waveguide is a structure (usually a metal pipe or optical fibres) for transmitting electromagnetic wave

The main aim of the workshop is   to present and discuss recent results on  asymptotic methods and numerical analysis for the study of the  waveguides. Moreover, it will help to reinforce the already existing cooperation between   researchers of different countries and to contribute to the creation of new collaborations.

 

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DIEMSalerno

DipMatSalerno

logo_GNAMPAUnisannioDIEICassino

DSTSannio

InstCartan

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