ELFT HÍRADÓ

[Zoltan Mate <mate AT namafia.atomki.hu>]

Az MTA Atommagkutató Intézetének nagy előadójában
(Debrecen, Bem tér 18/c. 12. ép. III. em.)
2007. február 21-án, SZERDÁN 11:00-kor


                 Michael Plum
            (Universitaet Karlsruhe)

       A computer-assisted existence proof
            for photonic band gaps


címmel előadást tart.
Az előadás előtt 10:30-tól tea.
Vendégeket szívesen látunk.


                              Máté Zoltán


Abstract:

The investigation of monochromatic waves in a periodic dielectric
medium ("photonic crystal") leads to a spectral problem for a Maxwell 
operator. It is well known that the spectrum is characterized as a 
countable union of compact real intervals (``bands'') which may or may 
not be separated by gaps, and the occurrence of such gaps is of great 
practical interest but difficult to prove analytically.
In this talk, we will attack this problem, for the 2D case, by
computer-assisted means. First we reduce the problem, using an
analytical perturbation type argument, to the computation of enclosures 
for finitely many eigenvalues of finitely many periodic eigenvalue 
problems. This task is then carried out by computer-assisted variational 
methods.