Re: mpb-discuss Digest, Vol 15, Issue 11

There is a sqrt(epsilon1)+sqrt(epsilon2) there, how
does that arise? How does that expression boil down to
the quater wave?
 
> Message: 1
> Date: Thu, 24 May 2007 12:45:18 -0400
> From: nate lipkowitz <[email protected]>
> Subject: Re: [MPB-discuss] Quarter Wave Thickness.
> To: [email protected]
> Message-ID:
>
<[email protected]>
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> refractive index is defined as the ratio of the
> phase velocity in a  
> medium to the phase velocity in vacuum.  this means
> surfaces of  
> constant phase move more slowly in a high-index
> medium than vacuum,  
> and consequently the distance over which some amount
> of phase advance  
> (in this case, pi/4) happens.  so, the physical
> length of a quarter of  
> a wavelength is scaled by a factor of n.
> 
> 
> Raman S <[email protected]> wrote:
> 
> > In the following the quarter wave thickness seems
> to
> > the be the fraction of the lower refractive index
> to
> > the total refractive index.
> >  Why/how is this related to the quarter wave
> >  Why does this wave maxmize the band gap. BEcause
> the
> > reflection leading to destructive interference is
> > maximized at this quarter wave thickness. But how
> is
> > the above formula related to the quarter of the
> > wavelength?
> >  Thanks much.
> >  VR Sitaraman
> >
> > ; We'll make the default d1 equal to the
> quarter-wave
> > thickness.  You
> > ; can change that by changing this line, or even
> > easier, by running:
> > ;       mpb d1=0.3 bandgap1d.ctl
> > ; or whatever.  (define-param is a command to
> define
> > parameters that
> > ; can be varied from the command line like this.)
> > (define-param d1 (/ (sqrt eps2) (+ (sqrt eps1)
> (sqrt
> > eps2))))
> > (define d2 (- 1 d1))
> >
> >
> >
> >
> >
>
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> 
> 
> 
> =-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
> nate lipkowitz
> 416 823 8057
> [email protected]
> 
> 
> 
> ------------------------------
> 
> Message: 2
> Date: Thu, 24 May 2007 23:24:10 -0400
> From: "Jim Andrews" <[email protected]>
> Subject: [MPB-discuss] E-field plots
> To: [email protected]
> Message-ID:
> 
>
<[email protected]>
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> Hello Steven et al,
> I am trying to work through the defect1dsol.ctl
> example that is posted
> on the nanophotonics course website in order to
> recreate the figure 4
> that appears there and I am finding that I don't
> know how to get a
> line plot of Ez from the h5 files.  I'm having
> trouble even getting
> the condition satisfied that the frequency of one of
> the bands is
> within the range of the minimum and maximum
> frequencies of the
> structure without the defect.  Also, I'm not sure
> why the minimum and
> maximum frequencies are defined by use of the
> following because I
> don't know what car and cadr mean here (though I can
> see that this
> gives the frequencies previously found for the two
> band case:
> (define gap-min (car freqs))
> (define gap-max (cadr freqs))
> 
> Any advice (hints as to where to look in the
> documentation?) would be
> appreciated. Thanks.
> Jim Andrews
> 
> -- 
> James H. Andrews
> Dept. of Physics & Astronomy
> Youngstown State University
> 
> 
> 
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> End of mpb-discuss Digest, Vol 15, Issue 11
> *******************************************
> 



 
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