Re: Software to plot transmittance of Bragg reflector?


In article <Pine.WNT.4.64.0701181653350.1232@xxxxxxxxx>,
Timo A. Nieminen <timo@xxxxxxxxxxxxxxxxx> wrote:

If you can approximate the problem as a stack of infinite uniform layers
with plane wave illumination (not necessarily at normal incidence), then
it isn't too hard - a task that should take an advanced undergrad or
beginning graduate student about 2-3 days if starting from scratch.
Basically, one can write down the effect of one interface as a matrix
relating the left-hand incident and reflected amplitudes and the
right-hand incident and reflected amplitudes. Next, one can write the
effects of propagation through a layer as a matrix, which will just be
phase changes (unless there is absorption). The effect of the total system
is just the product of each of these matrices, easily done on something
like matlab or octave. Perhaps such software is out there already.
Collins's EM book has a good coverage of such matrix methods.

The last time I did any of this--it wasn't via matrix methods, BTW--
we were allowing for essentially infinite reflections by assuming
generalized "left-travelling" and "right travelling" waves and requiring
the E field and the slope of the E-field have to match at the boundaries.
We were just doing a single thin layer on top of something, but we were
allowing for the fact that the incident light could be reflecting back
and forth as many times as it likes. Is what you are describing equivalent
to that?

Fortunately all the stuff I've snipped about sinusoidal index, fibers,
etc. aren't an issue. Just a flat plate of (something) with layers of
stuff on it. I'll have to check and see if we are limited to uniform
layers.

I had ONE optics course as an undergrad. Can't you tell?

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Relevant Pages

  • Re: Software to plot transmittance of Bragg reflector?
    ... there an inexpensive software package that will plot the transmittance ... If you can approximate the problem as a stack of infinite uniform layers ... right-hand incident and reflected amplitudes. ...
    (sci.optics)
  • Re: Software to plot transmittance of Bragg reflector?
    ... I don't know of any available package, but depending on what you want to do, it might not be too hard to even do yourself, or, depending on what you call inexpensive, pay somebody to do it. ... If you can approximate the problem as a stack of infinite uniform layers with plane wave illumination, then it isn't too hard - a task that should take an advanced undergrad or beginning graduate student about 2-3 days if starting from scratch. ... one can write down the effect of one interface as a matrix relating the left-hand incident and reflected amplitudes and the right-hand incident and reflected amplitudes. ...
    (sci.optics)