Convergence analysis of the planewave expansion method for band gap calculations in photonic crystal fibres
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Thu, 29/01/2009 12:30 |
Richard Norton (University of Oxford) |
OxPDE Lunchtime Seminar  |
Gibson 1st Floor SR |
| Modelling the behaviour of light in photonic crystal fibres requires solving 2nd-order elliptic eigenvalue problems with discontinuous coefficients. The eigenfunctions of these problems have limited regularity. Therefore, the planewave expansion method would appear to be an unusual choice of method for such problems. In this talk I examine the convergence properties of the planewave expansion method as well as demonstrate that smoothing the coefficients in the problem (to get more regularity) introduces another error and this cancels any benefit that smoothing may have. | |||