On Fri, 25 May 2007, Ruslan A Sepkhanov wrote:
> 1. Setting up a k-point in meep is still not completely clear to me. As far
> as I see if one needs periodic boundary conditions say in Y direction one
> should type (since k vector is k=2*pi /sy(0,1) and k in meep must be set up
> in units 2*pi):
>
> (set-param k-point (vector3 0 (/ 1 sy))
> )
>
> where sy -- y-size of a computational cell.Although I have figured out that
> for instance
>
> (set-param k-point (vector3 0 sy))
> )
>
> works in the same way

No, the above two commands are completely different.  The first says that 
the phase change from one boundary to the next is 2*pi, and the second 
says that the phase change from one boundary to the next is 2*pi*sy^2.  Of 
course, if sy is an integer, then these have the same effect, since any 
integer multiple of 2*pi is equivalent.

For the same reason, however, you might as well just set k = 0.

> Also here in the meep-discuss archive I saw
> suggestion that to put periodic boundary conditions on all the boundaries
> one should write:
>
> (set-param k-point (vector3 0 0)
> ).

Yes, setting the phase difference to 0 is the same as setting it to 2*pi.

> 2.a) I tried to calculate a transmission/reflection spectra for normal
> incidence on a dielectric slab (please see the control file below). If I
> move reflection flux plane closer to the slab, but still far enough from it
> -- about 10 wavelengths I get positive reflection flux:
> flux1:, 0.3, 0.00402280824472127, 0.0175279447668702
> flux1:, 0.302020202020202, 0.0039794157233877, 0.0204477622409809
> flux1:, 0.304040404040404, 0.00377341358133434, 0.0264463440220973
> flux1:, 0.306060606060606, 0.00441600176959974, 0.0376819698408472
> flux1:, 0.308080808080808, 0.00578687487558648, 0.0574699129341807
> Moving reflection flux plane close to the left boundary (where the wave
> comes from) solves this problem, but what was wrong is unclear.

Looking at your computational cell, you have a cell size of 50 in the x 
direction, and in the center (x=0) you have a block of size 7 (from x = 
-3.5 to +3.5).  You are putting your reflection plane at x=20-25+2 = -3.

So, your "reflection" flux is actually measured *inside* the object that 
is doing the scattering, which is why you are getting nonsense.

I expect that you just need to be more careful about your coordinate 
system.

Cordially,
Steven G. Johnson

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