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]

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