Re: [MPB-discuss] anisotropic

2006-08-20 Thread Steven G. Johnson

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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Re: Re: [MPB-discuss] anisotropic

2006-08-20 Thread hlren
Dear Steven,
  Thanks a lot for your consideration! But I had paid attention to this point.
Actually, the Cartesian y direction is the direction of the waveguide.
Would you mind giving me a hand again?  
 
Thanks a lot again!
Sincerely 

Hongliang Ren 
 



=== 2006-08-21 10:16:27 您在来信中写道:===

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°, 
 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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= = = = = = = = = = = = = = = = = = = =


致
礼!
 
 
hlren
[EMAIL PROTECTED]
  2006-08-21

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