The biggest mistake in classical optics
- From: "Josef Matz" <josefmatz@xxxxxxxx>
- Date: Tue, 20 Jun 2006 19:54:38 +0200
We consider a glass system with tree glass plates (all having weak
neglectable absorption). All of these three
glass plates shall have an different refraction index, that means non of
these three indexes shall be equal.
Now we put these three plates together and let light fall perpendicular onto
the surface.
We look into standard books like Max Born or other good optical books and
find the solution for this problem or at least the way the sokutions are
built. We get simple Formulas for the reflection and transmission
coefficient, they belong to a Formula System containig Fresnels formulas or
Drudes Formulas (if you have complex indices with absorption). But here we
restrict to the above mentioned system of three glas plates
with different real index.
Now you can make the following: If you let the thickness of the middle glass
plate go to zero. What happens:
If you do this, the formulas for the system of the two outer glas plates is
not the formula, you would get
if you are doing the same process for the two outer glas plates. The formula
where you let the thickness
of the middle plate go to zero still contains the index of the middle plate
when you let go thickness d to zero.
This is a paradox which shows, that something on the theory is wrong. It is
not a small mistake, it is a big error. The theory is wrong !
But what is wrong with this theory, i will answer it here. When i say you
that it took me more than 20 years to
find the simple error, then laugh !
Let us consider a third arrangement: We have our three glass tubes same as
above but we separate them
from each other. What we do: We separe them in vacuum ( Index 1 ). Now we
make the following:
We take for this also the Drude theory and then shift the plates ( in
between the vacuum ) together.
Now we have a second formula for three plate system which is different from
the first which stands in the Books. This formula has one big advantage
against that one in the books:
If you now let the thickness d of the middle glass plate go to zero, then
you get a solution where the index of the middle glass plate plays no roll
any more ! And this formula you get ( the two plate formula) is identical
with the solution you derive when you have a two plate system with a vaccum
layer in between land let the thickness of the vacuum layer go to zero !
The soltions of this theory are fully self consistent !
Thats the biggest mistake of the old optics of layers at all. The old optics
of layers is wrong, except you have
exact vacuum between all plates. In this case the old theory is right.
This finite vacuum layers have been forgotten in the old optics.
.
- Follow-Ups:
- Re: The biggest mistake in classical optics
- From: Edward Green
- Re: The biggest mistake in classical optics
- From: Herman Family
- Re: The biggest mistake in classical optics
- Prev by Date: Re: Circularly polarized beam in a dielectric, etc.
- Next by Date: Circularly polarized beam has torque?
- Previous by thread: How it works with the complex index
- Next by thread: Re: The biggest mistake in classical optics
- Index(es):
Relevant Pages
|
Loading
