Wave-vector diagram for a 2D photonic crystal
This prog calculates and plots the wave-vector diagram (i.e. photonic bands at constant frequency) for a 2D photonic crystal consisting of cylinders with circular cross-section and
infinite height, arranged in a triangular lattice; oblique propagation is implicit, so the polarization states cannot be separated in E-pol and H-pol; 'omega'is taken as input;
Fourier coefficients for the expansion of dielectric constant are calculated analytically;
the materials considered here are dielectric and dispersionless, but dispersion can be added as a function e(omega)
The package contains the following programs:
pwem2Db.m - main program
epsgg.m - routine for calculating the matrix of Fourier coefficients of dielectric function
bz_irr2.m - routine for 2D discretization of irreducible Brillouin zone polygon;
kvect2.m - routine for calculating diagonal matrices with elements (kx+Gx) and (ky+Gy), where G=(Gx,Gy) is a reciprocal lattice vector
oblic_eigs.m - routine for solving the eigenvalue problem for
H-field
Cite As
Cazimir-Gabriel Bostan (2024). Wave-vector diagram for a 2D photonic crystal (https://www.mathworks.com/matlabcentral/fileexchange/22774-wave-vector-diagram-for-a-2d-photonic-crystal), MATLAB Central File Exchange. Retrieved .
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Platform Compatibility
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- RF and Mixed Signal > Antenna Toolbox > Analysis, Benchmarking, and Verification > Antenna and Array Analysis >
- MATLAB > Mathematics > Computational Geometry > Triangulation Representation >
- Sciences > Physics > Atomic, Molecular & Optical > Photonics >
- Engineering > Electrical and Computer Engineering > Microelectronics, Photonics and Nanotechnology >
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Version | Published | Release Notes | |
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1.0.0.0 |