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Introduction
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Band
Structure
Analyser
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Band Structure Analyser
CrystalWave offers a band structure
analyser as an optional module.
Band Structure Analyser: band diagram and Bloch modes of a line defect.
The two plots are of the same Bloch mode with a half-period difference.
The analysis of the band structure of a periodic lattice is a very useful starting point for a photonic crystal circuit design. In essence it computes the solutions of a structure with infinite periodicity. This can be a "bulk" lattice but could also be a line defect, telling you when the lattice is opaque, when a line defect is single moded and so on.
The Band Structure Analyser will compute the Bloch (periodic) modes of a photonic crystal lattice with 2 or 3 dimensional periodicity. It will automatically identify the band gaps of your structure and evaluate the Bloch mode profiles at any point.
Features of the band structure
analyser:
- PWE (plane wave expansion) based engine for best computation in the frequency domain.
- 2D and 3D simulation modes.
- Generates w/k band diagrams for TE-like and TM-like polarisations.
- Brillouin-zone constant-omega contour plots.
- Easily plot the Bloch modes from any point on the w/k
band diagram.
- Full integration with the CrystalWave framework.
- Simple graphical specification of Cartesian and
non-Cartesian unit cells.
- Supports all lattices definable in the CrystalWave layout
editor - rectangular, hexagonal lattices, with square, elliptical or
arbitrary shaped "atoms".
- Automatic detection of band gaps.
- Real and lossy materials.
- Calculate effective index, group index and dispersion of
the Bloch mode.
- Automatic scanners for generation of "band maps" e.g.
against lattice period or hole size.
- Speed optimised calculation engine takes advantage of any
symmetries.
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