Re: Paradox of dipole radiation and PRA
- From: khrapko_ri@xxxxxxxxxxx
- Date: 22 Jul 2006 01:12:58 -0700
Timo A. Nieminen wrote:
I don't understand why this is a paradox. Take a combination of a rotating
electric and a rotating magnetic dipole, and you get circularly polarised
radiation beamed out along the axis of rotation. From symmetry, you can't
have circular polarisation in the plane of the rotation. The radiation
is in an AM eigenstate, 1 hbar per photon. So, in the plane of rotation,
no spin, but what's radiated that way must still have that 1 hbar per
photon. For the electric + magnetic case, there's no radiation in that
plane, so that's a simple answer. I haven't looked at the electric dipole
only case is detail yet.
If this is in the paper, I'll look next week. But you might want to post a
summary here for others.
Humblet mentioned the dipole as an example of the controversy about spin
vs orbital AM, and cited iirc Sommerfeld. This is an old problem that's
been discussed a lot, so perhaps that's the origin of the "no new physics"
bit.
I've been busy lately, so haven't replied in-depth to many of your
postings that would take a lot of time to do them justice.
If time permits ...
--
Timo Nieminen
Dear Timo,
Pluralitas non est ponenda sine neccesitate.
Let us away with a magnetic dipole.
I wrote on Marh 23, 2006
(http://groups.google.com/group/sci.physics.electromag/browse_frm/thread/72ea6bbb16c8e47a/495b64acc9cd5850):
Rotating electric dipole radiates spin
In a paper "A rotating electric dipole radiates spin and orbital
angular momentum", I show that, according to the standard
electrodynamics, a rotating electric dipole emits angular momentum
mainly into the equatorial part of space situated near the plane of the
rotation where polarization of the radiation is almost linear. Polar
regions situated near the axis of rotating are scanty by the angular
momentum, although they are intensively illuminated by the almost
circularly polarized radiation, which must carry spin angular momentum.
A conclusion is made that the electrodynamics sights orbital angular
momentum only and overlooks spin. This means that the electrodynamics
is not complete. I introduce a spin tensor into the electrodynamics and
calculate the whole angular momentum flux radiated by the dipole.
This paper is published at www.sciprint.org,
www.mai.ru/projects/mai_works/ and mp_arc@xxxxxxxxxxxxxxxxxx 03-315
I submitted this paper to Prof. Rene Dandliker, Editor "Optics
Communications".
Radi Khrapko
P.S. Unfortunately, I cannot submit the paper to arXiv because I am
blacklisted by the arXiv since 2001. See details at
http://www.ArchiveFreedom.org/freedom/Khrapko.html
http://groups-beta.google.com/group/USENET-talk-arXiv
Unfortunately, Prof. Rene Dandliker transferred the paper to Dr.
Kawata, who wrote:
"The paper under consideration is erroneous. The spin of an
electromagnetic field is a well known concept, but the ratio of energy
to spin is equal to angular frequency for the circular polarized plane
wave only. So the formula (1.2) of the R.I. Khrapko paper is wrong
because according to this formula E/L=\omega for the radiation of
rotating electric dipole, but this radiation is not the circular
polarized plane wave."
Now you may see two my posts:
Narrow-mindedness and insolence of "Optics Communications" editors,
Marasmus of "Optics Communications" editors.
Sorry,
Radi Khrapko
.
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