Institute of Mathematics for Industry

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A computer-assisted proof for photonic band gaps


Hold Date 2011-11-29 15:30~2011-11-29 17:00

Place 1st floor lecture room 5, Open Learning Plaza , Ito Campus

Object person  

Speaker Michael Plum (Karlsruher Institut für Technologie)

summary:
The lecture is concerned with photonic crystals, modeled by a
spectral problem for Maxwell's equations with periodic
permittivity. By Floquet-Bloch theory, the spectrum has band-gap
structure, but by purely analytical means it is extremely difficult
and tedious to decide if the spectrum really contains gaps. We
propose a computer-assisted method for proving (in the strict
sense) the presence of such spectral band gaps, using eigenvalue
enclosure techniques and a perturbation argument.