Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
Asymptotic formulas for perturbations in the eigenfrequencies of the full Maxwell equations due to the
 

Summary: Asymptotic formulas for perturbations in the
eigenfrequencies of the full Maxwell equations due to the
presence of imperfections of small diameter
Habib Ammari  Darko Volkov y
Abstract
We consider electromagnetic media that consist of a homogeneous (constant coeÆ-
cient) electromagnetic material with a nite number of small dielectric imperfections.
For such media, we provide a rigorous derivation of asymptotic formulas for perturba-
tions in the eigenfrequencies of the full Maxwell equations caused by the presence of
the dielectric imperfections.
Key words: Maxwell's equations, eigenvalues, asymptotics, small dielectric imperfec-
tions.
2000 AMS subject classi cations: 78M35, 35P15.
1 The main result
Let
be a bounded, open subset of R 3 , with a smooth boundary. For simplicity we
take
@
to be C 1 , but this regularity condition could be considerably weakened. We
suppose

  

Source: Ammari, Habib - Centre de Mathématique Appliquées, École Polytechnique

 

Collections: Mathematics