Re: anisotropic

"Steven G. Johnson" <[email protected]>
Newsgroups gmane.comp.science.photonic-bands
Message-ID <[email protected]>
On Sun, 20 Aug 2006, hlren wrote:
>    This is 2D triangular lattice photonic crystal with air holes in GaAs 
> substrate. The backgound dielectric index is 11.4. We calculalte the 
> dispersion relations of line defect waveguides filled with liquid 
> crystal, and the attached file is about the supercell, and Dark and 
> light shaded regions indicate GaAs and liquid crystals, respectively. 
> When the rotation angle of the director of the liquid crystal is 90¡ã, 
> the components of the dielectric tensor are ne*ne,no*no,and zero in xx 
> ,yy, and xy directions,respectively, where ne is 1.706 ,and no is 1.522 
> ( this direction is in accord with that in the supercell).  I try some 
> examples about liquid crystals, and the problem is also present. Would 
> you mind scanning my ctl file?

When you specify the dielectric tensor, you are specifying it in Cartesian 
coordinates.  This is not the same as the lattice basis.  So, in your case 
where the Cartesian x direction is *not* the direction of your waveguide. 
This means that the principal axes of your dielectric tensor are not 
aligned with your waveguide like you probably want.

Cordially,
Steven G. Johnson

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