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Allan Adler
Posted: Mon Jan 21, 2008 11:35 am
Guest
In Max Born's Optik, when he discusses the optics of metals, he has a table
of values of n and n\kappa for various metals. He remarks that n is often
less than 1, which implies that the speed of light in the metal is greater
than in a vacuum; that the value of the dielectric constant computed
from these values is negative, which is meaningless; and that some formulas
he established don't seem to be consistent with these values. He explains
all of this. The issue of the speed of light he resolves by talking about
group velocity and by claiming that the instance of faster than light
travel doesn't count as a signal, which is the real issue. The issue of
the negative dielectric constant and the inconsistency with earlier theory
he deals with by referring to the discussion in Chapter I of difficulties even
in the case of nonconducting materials, where the issue is resolved by
considering the separate effects of electrons and nuclei in the material.

The corresponding section of Born and Wolf doesn't mention these difficulties.

Any idea why the interesting discussion was removed?

Also, both books refer to a paper of A.Kundt from the late 19th century
which directly measured the dielectric constants of metals by making
extremely thin metal prisms. Any idea where one might find this article
online? Has this work been reproduced by any modern research? These days
they might have better ways of setting up the same experiment.
--
Ignorantly,
Allan Adler <ara@zurich.csail.mit.edu>
* Disclaimer: I am a guest and *not* a member of the MIT CSAIL. My actions and
* comments do not reflect in any way on MIT. Also, I am nowhere near Boston.
Phil Hobbs
Posted: Mon Jan 21, 2008 12:47 pm
Guest
Allan Adler wrote:
Quote:
In Max Born's Optik, when he discusses the optics of metals, he has a table
of values of n and n\kappa for various metals. He remarks that n is often
less than 1, which implies that the speed of light in the metal is greater
than in a vacuum;

The *phase velocity* of light is greater than c. In silver around 1.5
um, it gets up to nearly 10 c, because Re{n} ~ 0.1. This is
inconvenient for simulations because you have to take very short time
steps to avoid instability. (Welcome to my life.)

Quote:
that the value of the dielectric constant computed
from these values is negative, which is meaningless;

It isn't meaningless--it's just that in a weakly damped oscillation
(e.g. electrons in some metals, especially Ag, Cu, and Au), above
resonance you get a phase shift of nearly pi. This arises because the
harmonic oscillator equation is of second order. In the frequency
domain, each time derivative supplies a factor of (i omega), so if the
first derivative term is very weak, the response is dominated by (i
omega)**2, which is -(omega**2). Physically odd, but mathematically no
mystery at all.

Quote:
and that some formulas
he established don't seem to be consistent with these values.

Negative epsilon is only a problem if it happens at DC--the material
spontaneously turns to lava. This isn't true at AC.

Quote:
He explains
all of this. The issue of the speed of light he resolves by talking about
group velocity and by claiming that the instance of faster than light
travel doesn't count as a signal, which is the real issue. The issue of
the negative dielectric constant and the inconsistency with earlier theory
he deals with by referring to the discussion in Chapter I of difficulties even
in the case of nonconducting materials, where the issue is resolved by
considering the separate effects of electrons and nuclei in the material.

The corresponding section of Born and Wolf doesn't mention these difficulties.

Any idea why the interesting discussion was removed?

Also, both books refer to a paper of A.Kundt from the late 19th century
which directly measured the dielectric constants of metals by making
extremely thin metal prisms. Any idea where one might find this article
online? Has this work been reproduced by any modern research? These days
they might have better ways of setting up the same experiment.

Nowadays n and k measurements are usually done by looking at the
reflectance vs angle.

Cheers,

Phil Hobbs
Charles Manoras
Posted: Mon Jan 21, 2008 5:50 pm
Guest
"Phil Hobbs" wrote > Allan Adler wrote:
Quote:
In Max Born's Optik, when he discusses the optics of metals, he has a
table
of values of n and n\kappa for various metals. He remarks that n is often
less than 1, which implies that the speed of light in the metal is
greater
than in a vacuum;

snip, admirable answer by PCDH (as usual), sorry. :-)

Quote:
Also, both books refer to a paper of A.Kundt from the late 19th century
which directly measured the dielectric constants of metals by making
extremely thin metal prisms. Any idea where one might find this article
online? Has this work been reproduced by any modern research? These days
they might have better ways of setting up the same experiment.

http://en.wikipedia.org/wiki/August_Kundt

Have you tried Google Books (Full View Option)?

I have found amazing stuff there.

There are many answers concerning (August) Kundt.

I do not have the courage to sift through them.

I thought of him thus far as an acoustician but apparently he worked in
optics as well.

Quote:
Nowadays n and k measurements are usually done by looking at the
reflectance vs angle.

And what? Ellipsometry at various agles I suppose?
Phil Hobbs
Posted: Mon Jan 21, 2008 10:52 pm
Guest
Charles Manoras wrote:

Quote:

Nowadays n and k measurements are usually done by looking at the
reflectance vs angle.

And what? Ellipsometry at various agles I suppose?



So I believe. I get my data out of Palik & Ghosh. Wink


Cheers,

Phil Hobbs
Allan Adler
Posted: Tue Jan 22, 2008 7:22 am
Guest
"Charles Manoras" <inconnu@cette.adresse> writes:

Quote:
"Phil Hobbs" wrote > Allan Adler wrote:
In Max Born's Optik, when he discusses the optics of metals, he has a
table
of values of n and n\kappa for various metals. He remarks that n is often
less than 1, which implies that the speed of light in the metal is
greater
than in a vacuum;

snip, admirable answer by PCDH (as usual), sorry. Smile

I too admired the answer, but my question was why the corresponding
discussion was omitted from Born and Wolf. In Optik, Born wasn't
complaining about these difficulties. He was taking advantage of
an opportunity to make some educational points. The question is why
the opportunity was not taken in B&W.

Quote:
Also, both books refer to a paper of A.Kundt from the late 19th century
which directly measured the dielectric constants of metals by making
extremely thin metal prisms. Any idea where one might find this article
online? Has this work been reproduced by any modern research? These days
they might have better ways of setting up the same experiment.

http://en.wikipedia.org/wiki/August_Kundt

Thanks. I didn't know what the A. stood for.

Quote:
Have you tried Google Books (Full View Option)?
I have found amazing stuff there.
There are many answers concerning (August) Kundt.
I do not have the courage to sift through them.
I thought of him thus far as an acoustician but apparently he worked in
optics as well.

I haven't learned to use Google Books. Also, I have a lot of problems with
my ancient browser. I'll see what I can find out next time I use a more
contemporary computer and browser.

Quote:
Nowadays n and k measurements are usually done by looking at the
reflectance vs angle.

And what? Ellipsometry at various agles I suppose?

In Optik, Born also says that n and k measurements are done by studying
reflected light. However, he does make the interesting remark that Kundt
managed to measure epsilon directly. He isn't recommending the method. Born
is very good about giving historical references. I happen to like reading
historical sources, but I don't insist on the first sources if a contemporary
article covers the topic adequately. In this case, the question was whether
Kundt's article is available online, which you've given a good hint for
via Google books, and whether there are better ways now of doing what he
did. I realize now that the latter part of the question is easily
misinterpreted. Indeed, PCDH apparently interpreted it as whether there
are now better ways of measuring these constants for metals. But what I
meant was whether there are better ways of doing it the way Kundt did it,
i.e. by making metal prisms with small angle, i.e. are there better ways of
making and using the prisms. Are there?
--
Ignorantly,
Allan Adler <ara@zurich.csail.mit.edu>
* Disclaimer: I am a guest and *not* a member of the MIT CSAIL. My actions and
* comments do not reflect in any way on MIT. Also, I am nowhere near Boston.
Charles Manoras
Posted: Tue Jan 22, 2008 3:10 pm
Guest
"Allan Adler" <ara@nestle.csail.mit.edu> wrote


Quote:
Have you tried Google Books (Full View Option)?
I have found amazing stuff there.
There are many answers concerning (August) Kundt.
I do not have the courage to sift through them.
I thought of him thus far as an acoustician but apparently he worked in
optics as well.

I haven't learned to use Google Books. Also, I have a lot of problems with
my ancient browser. I'll see what I can find out next time I use a more
contemporary computer and browser.

Well learn...

If your PC is deficient go to a library which is equipped with fast
computers.

The downloads from Google Books are always large.

You may find a helpful librarian, there.

This said what Google books offers is extremely uneven.

The scans are sometime poor.

But on the whole your chances of finding interesting stuff are high.

As to B & W, Emil Wolf is still around at the University of Rochester,
most likely emeritus, so maybe you can get in touch with him and ask.

BTW where did you find your copy of Born?
Allan Adler
Posted: Wed Jan 23, 2008 3:09 am
Guest
"Charles Manoras" <inconnu@cette.adresse> writes:

Quote:
As to B & W, Emil Wolf is still around at the University of Rochester,
most likely emeritus, so maybe you can get in touch with him and ask.

Thanks, I'll consider it.

Quote:
BTW where did you find your copy of Born?

Germany. You might be able to order it from www.amazon.de.
I bought mine about 25 years ago. At the time, and maybe still,
they had a very good book distribution system. I walked into a
bookstore in a small town and asked about the book and they told
me they would have it the next day.

I put off reading it for decades because I thought I didn't have time
to get involved in its details. So, recently, I conned myself into reading
it by telling myself it was just to practice my German. I'm not checking
all details but I am nevertheless following it without much effort. One
advantage of reading it in German, apart from being able to get Born's
point of view by itself (he is a very good writer), is that I cannot avoid
reading it slowly; that is something I often don't have the patience
to do in English. I'm deriving similar beneficial effects from reading
the Iliad in ancient Greek, even though I'm not very good at Greek.
--
Ignorantly,
Allan Adler <ara@zurich.csail.mit.edu>
* Disclaimer: I am a guest and *not* a member of the MIT CSAIL. My actions and
* comments do not reflect in any way on MIT. Also, I am nowhere near Boston.
Charles Manoras
Posted: Wed Jan 23, 2008 2:12 pm
Guest
"Allan Adler" <ara@nestle.csail.mit.edu> wrote

Quote:
BTW where did you find your copy of Born?

Germany. You might be able to order it from www.amazon.de.
I bought mine about 25 years ago. At the time, and maybe still,
they had a very good book distribution system. I walked into a
bookstore in a small town and asked about the book and they told
me they would have it the next day.

I put off reading it for decades because I thought I didn't have time
to get involved in its details. So, recently, I conned myself into reading
it by telling myself it was just to practice my German. I'm not checking
all details but I am nevertheless following it without much effort. One
advantage of reading it in German, apart from being able to get Born's
point of view by itself (he is a very good writer), is that I cannot avoid
reading it slowly; that is something I often don't have the patience
to do in English.

Knowing German is a formidable advantage if one wants to study "early
physics", mostly 19th century and early 20th.

What Google Books shows about August Kundt is mostly in German, of
course.

I forgot to mention that if you want to download stuff from Google Books
in a library you need at the minimum a CD.

These downloads are typically 20 MB sometimes more, sometimes less.

I assume that your computer can read CDs. Smile
Allan Adler
Posted: Tue Jan 29, 2008 2:27 pm
Guest
"Charles Manoras" <inconnu@cette.adresse> writes:
Quote:
Knowing German is a formidable advantage if one wants to study "early
physics", mostly 19th century and early 20th.

True but, equally, having something one really wants to read is a formidable
advantage in learning a language. I knew a little French (are you francophone?)
but learned it much better when I decided I would move heaven and earth to
read Sierpinski's Hypothese du Continu. In mathematics and in physics, there
is so much information in the familiar context and in the notation that there
is much less one really needs to know. One can normally manage with just a
dictionary. At the same time, since you know what they must be saying, it
tends to resolve a lot of grammatical and usage issues painlessly, so one
really does learn a lot more about the language. It is just a matter of
not being in a hurry as the process runs its course, no matter how badly
one wants the information in the book or article right away. I adopted the
same approach with German.

Quote:
I forgot to mention that if you want to download stuff from Google Books
in a library you need at the minimum a CD.
These downloads are typically 20 MB sometimes more, sometimes less.
I assume that your computer can read CDs. Smile

A flash drive can normally hold much more than 20 MB and I've used them
in the library for that purpose, just not from Google Books.
--
Ignorantly,
Allan Adler <ara@zurich.csail.mit.edu>
* Disclaimer: I am a guest and *not* a member of the MIT CSAIL. My actions and
* comments do not reflect in any way on MIT. Also, I am nowhere near Boston.
Allan Adler
Posted: Tue Feb 19, 2008 11:39 pm
Guest
Allan Adler <ara@nestle.csail.mit.edu> writes:

Quote:
I haven't learned to use Google Books. Also, I have a lot of problems with
my ancient browser. I'll see what I can find out next time I use a more
contemporary computer and browser.

I finally had a chance to try out Google Books. It is amazing what it has.
I downloaded a lot of good stuff. I didn't search for August Kundt because
I was just exploring it for its own sake and found a lot of things I'm
interested in. But next time I'll go back to August Kundt.

One question: some of the items are described as "Full View" and those I
was able to download withouot difficulty. Others are not and it is not obvious
to me how to download them or whether it is possible to do so. Is it?
--
Ignorantly,
Allan Adler <ara@zurich.csail.mit.edu>
* Disclaimer: I am a guest and *not* a member of the MIT CSAIL. My actions and
* comments do not reflect in any way on MIT. Also, I am nowhere near Boston.
 
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