Plot photonic dispersion curves with mode shapes (a frontend to MIT Photonic bands, http://ab-initio.mit.edu/wiki/index.php/MIT_Photonic_Bands)
A set of Scheme/Python scripts that computes and plots the band structure of a 2-D photonic crystal and, most importantly, draws also the modes corresponding to the band edges.
The batch.sh script feeds compute_dispersion_and_modes.ctl to the MPB program to get the numerical data.
Then it runs plot_dispersion_and_modes.py to plot all results (see this file for explanation). This procedure
can be repeated in a cycle in batch.sh, mapping how the electromagnetic behaviour of the structure changes with
some of its parameters. The scripts can be fully customized and automated to fit your research.
Written in 2013-15 by Filip Dominec, [email protected]
A typical output of the script follows. This one shows six dispersion curves, and all corresponding modes, for a periodic dielectric slab with a permittivity of 2 and 30% filling fraction.
The electric field shapes at the Gamma, X, and M-points are added at the sides, and clearly connected by red arrows with the respective points in the dispersion curves.
Red-white-blue color scheme shows the amplitude of the electric field perpendicular to the screen, each mode plot corresponding to 2x2 unit cells. Green lines on it depict the nodal planes, where the amplitude of the electric field is always zero (for a monochromatic wave). The black lines outline the dielectric structure.
For a more physical background, see the excellent book Photonic Crystals: Molding the Flow of Light (freely available from http://ab-initio.mit.edu/book/)
- unix-like environment with a bash-like shell
- mpb
- python-scipy
- python-matplotlib
- (imagemagick)
- sync with the project from 2014-01 and cleanup of old code
- add all relevant structures (rods, holes, etc.)
- enable electric/magnetic field switching
- write some better documentation, add more example plots
- possibly test anisotropy of materials?