G
George Herold
Using multiple modes is a perfectly fine way to get more capacity, if
you can keep them straight. It just isn't what the twisty folks think
they're doing.
BTW optics folks have known about these modes for yonks--field
distributions with nulls in the centre and helical phase are called
"optical vortices".
I first encountered one in a microscope I designed in cooperation with
some guys from Sira Ltd in the UK, back in 1990 or so. It was the first
silicon immersion microscope, based on contacting a silicon plano-convex
lens to the back of a silicon wafer. (A technique that has become
widely used since then.) It was to use a pressurized air bearing with
50 nm clearance to allow scanning and reduce surface damage. That 50 nm
was enough to lose a lot of light by total internal reflection, but
interestingly it turned out to be possible to overcome the problem by
switching to tangential polarization, where the E field direction was
always perpendicular to the plane of incidence no matter where you were
on the lens. This was accomplished using a segmented half wave plate,
shaped like an 8-petal daisy, which generated a very creditable
approximation of tangential polarization.
Wow, Nice story! Thanks
I'm going to have to ask for a pic of the 8-petal daisy, on some bar
napkin, when I buy you one.
(alternating segments of 1/2 wave plates?)
We were very proud of this idea, until we noticed that the resulting
focused spot would have a null at the centre, i.e. the spatial
resolution would be horrible. (The different segments would be trying
to have it point in every direction, and none would win.) That was an
example of an optical vortex, maybe the first one in a technological
example, I don't know.
We straightened it out by applying a coating of 1/8 wave to segment 1,
1/4 wave on segment 2, up to 1 wave on segment 8, so that the phase
advanced by one cycle as you went round the pupil. That replaced the
central null with a circularly-polarized peak, and cleaned up the
resolution amazingly.
It keeps getting better, (sounds expensive?)
The design was all finished and ready for production by early 1992, at
which point IBM very nearly went bankrupt, and both our budget and our
customer went away. I still have all the drawings, though. If it were
built today, it would still hold the lateral resolution record in
silicon by about a factor of 2 over any current instrument. (It ran at
a numerical aperture of 6.4.)
How many good designs are in drawers somewhere?
George H.