A computer-assisted proof for photonic band gaps
九州大学数値解析セミナー
開催期間
2011.11.29(火)
15:30 ~ 17:00
15:30 ~ 17:00
場所
九州大学伊都キャンパス 総合学習プラザ1階 工学部第5講義室
講演者
Michael Plum (Karlsruher Institut für Technologie)(with Vu Hoang, Christian Wieners, and Henning Behnke)
概要
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.