methods for photonic crystal fibers
- 2006, MAFELAP, London
In this talk we
shall discuss the calculation of the spectrum of PDEs arising in models
of photonic crystal fibers (PCFs) in both periodic and non-periodic
For periodic PCF problems, under the assumptions of TE and TM
polarizations, we derive error estimators for approximated eigenvalues
and eigenvectors, arising from discretization of typical cell problem.
We give numerical illustrations of how the adaptivity copes with
internal interfaces in the device and with high contrast media.
We shall also give illustrations of the use of our error estimates in
an adaptive procedure for finding spectral gaps and related trapped
modes in devices with defects.