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Eigenmodes in a 2D photonic crystal

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Eigenmodes in a 2D photonic crystal

by Cazimir-Gabriel Bostan

 

28 Jan 2009

Solves the eigenproblem kz(omega,kx,ky) and plots the field distributions for allowed modes

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Description

consider a 2D photonic crystal consisting of cylinders with circular cross-section and infinite height, arranged in a triangular lattice;
this program calculates and plots the spatial distributions in the unit cell (E&H) of eigenmodes allowed at a given frequency ; 'omega'is taken as input; oblique propagation is implicit, so the polarization states cannot be separated in E-pol and H-pol;
Fourier coefficients for the expansion of dielectric constant are calculated analytically;
the materials considered here are dielectric and dispersionless;

the package contains the following programs:
     pwem2Dc.m - main program
     epsgg.m - routine for calculating the matrix of Fourier coefficients of dielectric function
     prcellgrid.m - routine for discretization of direct space, to be used for plotting the field distribution
    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
     rfields.m - routine for calculation of field spatial distributions

MATLAB release MATLAB 7.3 (R2006b)
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11 Apr 2012 sudharsanan sampathkumar  
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Tag Activity for this File
Tag Applied By Date/Time
photonic crystals Cazimir-Gabriel Bostan 28 Jan 2009 13:23:06
electromagnetics Cazimir-Gabriel Bostan 28 Jan 2009 13:23:06
simulation Cazimir-Gabriel Bostan 28 Jan 2009 13:23:06
neato Josh Natanson 29 Jan 2009 14:45:05

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