Well, I seem to have gotten a late start on my journal. Since the
start of the Simons Program, I've been trying to figure out what
project I want to work on. By going through various papers and past projects I
was interested at first in Holography (which many people have worked
on if you go through the past projects), and then in the Coherent
Backscattering Effect. The Coherent Backscattering Effect, is a
phenomenon in which photons travel "time-reversed scattering paths"
and interfere constructively causing the appearance of a sort of cone
of intense light in the backscattered direction. Over the weekend, I
read (and understood most of!) one of the main papers on Coherent
Backscattering written by Corey, et al.. I
also did a few google searches on the topic, and found a really cool
Java
Applet which simulates the random walks that light takes, and the
backscattering effect (you need a Java Virtual Machine installed in
order to view it). I think that if I can find an application for this
effect such as using it to study dense atomic media, then I would have
a good project I can work with. Right now CBS is a pretty good
nucleus for a project, but I don't think that it can stand on its own.
July 10, 2003
Today, I found a whole slew of new sources about CBS. Particularly
interesting was the article entitled "Studies of coherent
backscattering from opal photonic crystals" by J.D. Huang et al.,
since it discussed opals and opalescence, the topic which got me
interested in scattering phenomena in the first place. I also found
"Calculations of the Soil Hot-Spot Effect Using the Coherent
Backscattering Theory" by Liang and Mischenko that seems to have an
interesting application of CBS. During a lull when I took a break
from searching for articles, I learned about polarization and Jones
Matrices by playing around with the long spring and wondering what
circularly polarized light would look like. Tom and Jose helped to
clarify how the matrices explained the polarizations, and by looking
at them I realized how the different polarizing lenses and plates
affect light.
Tonight, I plan to finish reading the article about
Calculating Hot-Spots and then read teh article about opal photonic
crystals. Hopefully tomorrow I'll be able to get a start setting up a
CBS experiment to get some data and actually see how it works. I've
found a large number of diagrams depicting the setup, and Ming Lu (a
previous student at the lab) has some helpful pictures that describe
his setup.
July 11, 2003
Today I got a laser and a place to work! I spent a lot of my time
today cleaning the desk and trying to locate the instruments I need
for a CBS experimental setup, like a beam splitter, 1/4-wave plate,
mirror and polarizer. I may need to adjust the classical setup by
adding something like a narrow tube to the detector in order to filter
out background noise, etc. Before I actually gather any sort of data
for my project, I need to learn exactly how each of the components of
the setup functions. I know about the linear polarizer and lenses in
the setup, but I'm not sure how a 1/4-wave plate circularly polarizes
light, or even what circularly polarized light is, exactly. I also
need to figure out how the detection mechanism works. It doesn't look
too difficult, but I think I should know it well in order to
accurately interpret any results. Below is the setup Ming used in his
project, to give an idea of what the setup looks like (the image has
been gratuitously stolen from his jounal):
July 14, 2003
Today was a sort of stream of tangents which ended on a constructive
note. It began when Dr. Noe showed us that by inserting a polarizing
lens at 45-degree angle between two linear polarizers at 90 degree
angles to each other, one can see an image through the three lenses.
By looking at the Jones Matrices for the lenses, I saw that this
should work because a 45-degree polarizer between to linear polarizers
prevents the matrices from multiplying out to the zero vector... but I
wanted to know the relationship between the angle of the rotating
polarizer (in the middle) and the amount of light let through. Pat
and I designed an experiment using a phototdector and three polarizing
lenses to measure the variation on the amount of current induced on
the photodector by a laser (the laser I plan on using for my project),
by the angle at which the rotating (middle) polarizer is situated. As
we took down the data for the experiment, we noticed that the current
kept fluctuating in the multimeter. The fluctuation was a little
weird, so we decided to look at the output of the laser in the
oscillator, and found that it was hashy... which didn't seem to make
sense. During all this, I learnead about how the laser was built, the
various modes that get gain inside the laser cavity, and how these
modes could shift as the laser heats up. It turns out that it's the
laser that was causing the fluctuations, but I don't think that should
cause too many problems when I'm taking my data, I'll just have to
keep it in mind when I have to look at and interpret the data. The
graph below shows the results of our experiment, and the theoretical
fit of the data (calculated by using the light's electric field as a
vector and calculating the intensity based on the angle of incidence
to each polarizer) I made using Gnuplot (which I learned today!):
July 16, 2003
Today Tom and I set up a scattering experiment in the back to measure
the amount of laser-light scattered from the sample ceramic material
he has. This setup is similar in many ways to the setup that I'm
going to be using for my experiment. Today after the lunch meeting, I
talked to Professor Metcalf about polarizers and Jones Matrices, and I
think I have a pretty clear idea about how polarizers and materials
that affect electric field orientation and phase operate on light.
The next few things that I need to do are to figure out if I need to
use a beam expander, and to figure out the distances in my setup. I
also want to try to find information on fractal aggregates and any
relatively accessible and safe aggregates that I could use for an
experiment. Also, I want to email Professor Genack... which I haven't
yet done to see if he has any input on a coherent backscattering
project. Also, I'm going to write up a small website for the side
experiments I did on polarizers and what I learned about Jones
matrices.
July 17, 2003
Today I attended a fascinating lecture that Professor Metcalf gave on
Quantum Mechanics. He clarified some of the questions I had about the
wave equation which I read about in Jose's textbook, without even
writing it out! I also worked on my experimental setup and began
drawing it out on a piece of paper. I'll see if I can make a vector
drawing of the projected setup on my computer to post up here, and
I'll note the drawing in my lab journal. I also started working on a
website about the experiment I did with polarizers, and a webpage
about coherent backscattering that someone might find useful. I'll
add a link to them once they're readable.
July 21, 2003
Today, Sage and I did a small scattering experiment using Tom's
detector and sample to see what kind of data we would get, and try to
interpret it. We definitely got some kind of curve, and tried to
figure out what kind of theoretical curve to use to fit the data. A
graph of our results, and a possible theoretical fit based on the sine
of the angle between the detector and the sample can be found in
Sage's journal. We made the graph using gnuplot, which is getting
easier and easier to use everytime!
Also today I attended the second lecture Professor Metcalf gave on Quantum
Mechanics. I understand a lot of it, but Quantum Mechanics is still
very confusing since it dictates that you cannot ever get a definite
answer from just the pure mathematics which describe nature. After
the lecture, I continued working on my setup, and mapping out my space
on the desk on a piece of paper so I know exactly what it should look
like before I actually set it up
July 22, 2003
I haven't really had a chance to work on those two pages I want to
make... I may be able to do that tonight and just email it to myself.
I've also been trying to better understand the math behind the CBS
effect; I found a slide presentation online which could help me to may
help me. I've also been seeing a lot of the same math repeating in a
lot of the papers I've read, which I'm slowly beginning to pick up on.
I thin that once I understand the basics, I'll get the special
derivations in each individual paper. I'll update my sources page
when I get back to the dorms and put that up tonight. I still need to
find out more about fractal aggregates to see if I want to use them in
my project, and I need to continue working on my setup.
July 23, 2003
Today, Alex Ellis, a High School student who worked in the lab last
year visited the Laser Center. He gave a presentation on his project
on Astigmatic Laser Mode Conversion. We also talked about getting
started with writing papers, and time management in general. He gave
some pretty good advice about when to start writing my paper, and when
to really start gunning with a project.
I also continued trying to understand the math behind CBS, and I
understand why the enhancement factor was predicted to be about 2 in
the theoretical model of CBS. It's because when two waves are in
phase when being scattered back, their sum is squared, and when they
are out of phase, their squares are summed, thus when the destructive
waves are subtracted, a term with a factor of two is left over,
predicting an enhancement of two. I still don't quite understand the
major reason why the shape of the intensity distribution is conical,
but I think I'll understand by the end of the week.
July 28, 2003
Today, after yet another mind-blowing Quantum Mechanics lecture which
I thoroughly enjoyed, I spent some more time thinking about the theory
behind my project. I really need to work on my setup, but I really
want to understand the math behind it. I spent the day reading about
photon diffusion approximation in various media. I found some more
interesting articles with easier explanations and definitions which
I'll post on my sources page when I get around to updating it. I've
been working on my CBS page with the new information I've learned, but
it's not yet complete. Today I looked at the pinhole which Doug
Bennett used on his setup, and played around with it trying to figure
out the size. I also spent some time looking at websites on
photomultipliers to try and figure out how they work. I need to set
up the pinhole, reflection screen and PMT up so I can figure out how
to align everything to gather data. Reading about the problems that
Ming and Doug had have helped me a lot in thinking about the setup,
and the pictures they put up are also excellent. Tomorrow, I'll spend
the morning trying to get a PMT for my setup, and working on aligning
everything to get rid of weird reflections which seem to occur when
the laser hits the beam-splitter and the quarter-wave plate. Also, I
have to make sure the quarter wave plate is aligned correctly to
circularly polarize light, and the linear polarizer is adjusted to
prevent reflections from hitting the detection mechanism.
July 29, 2003
Quite a few good things happened today. Earlier, Jose took me to
clean off the beam-splitter I'm using in my setup, and Oleg showed us
the necessary steps needed in cleaning coated optical components. I
wrote these down in my journal as they can prove to be useful later
on. The best part about it, though, was that when I put the newly
cleaned beam-splitter back into my setup, ALL of the reflections that
were annoying me were gone, save the one from the quarter-wave
plate.
Later, Jose gave us a talk on Lasers, Cavities/Stability, and
Mode Structure/Gain. It was really interesting, and gave me a lot
more insight and understanding into exactly how lasers function.
After the talk, Mr. Schorn, my science research teacher came in to
talk to me about my paper, and to visit the lab. We talked for a long
while about my project, and I tried explaining to him what I was
working on. After we felt that he had a pretty good understanding, we
talked about deadlines and how I should organize my introduction. I
think it's important that I get started as soon as possible in writing
my paper, so that I don't have to worry about cramming the entire
paper-writing session into a period of three nights.
July 30, 2003
Today, all the Simon's Fellows visited the Brookhaven National
Laboratory. It was a great experience, as I got to see the
Relativistic Heavy Ion Collider, National Synchotron Light Source, and
the Van de Graaf Accelarator that they have over there. Upon our
return, Jose finished the talks he started yesterday about different
types of lasers and gaussian optics/beams. There's been so much
information to absorb over the last two days, but I think that I've
managed to grasp and understand most if not all of it. It may be
worthwhile to try and explore/derive the math behind the different
topics that Jose touched upon to try and gain an even deeper and more
useful understanding. I also continued working on my setup.. and
tried to figure out ways around the reflections and the severe loss of
laser signal which I am going to have to deal with due to the
reflections by the wave plate and linear polarizer.
August 4, 2003
Here I am again, another late night at the lab. Today we gave our
presentations for the Simon's Fellows who visited the lab, and I
whipped together a quick description of what I've been doing here. I think the talks went pretty well... the best
part, however was the laser-light show we put on afterwards, and when
we got to explain our projects to everyone in the lab itself. I think
that through explaining my project and answering questions (or trying
to answer questions) about it, I learned a lot more about it.
Anyway, on to the exciting part of this entry: Tonight I took the CCD
Camera/Computer from Allison's setup, as we won't really need it there
anymore, and wheeled it to my corner of the lab. I positioned the CCD
Camera using a stray reflection from the center of the beamsplitter
that conveniently showed me where the exact backscattering direction
was. I then attached it to the computer, and turned it on. When I
opened the software that communicates with the camera, I saw some good
news and some bad news. The good news was that there was very, very
little background noise with all the lights turned out, but the bad
news was that there was an ugly diffraction pattern from either a
fingerprint or some defect in the linear polarizer I was using. Also,
the 1/4-Wave plate was not in this specific setup, so that may cause
some additional reflections and scattering that did not show up in
this image. I tried to get rid of this blotch by turning the
polarizer, but this only weakened it a little... I'm thinking that
it's a fingerprint on one of the lenses, or the beam splitter. This
problem can be solved by cleaning each of the components - but they're
so nicely aligned! :-( At least I know where the backscattered point
is, and I think that I'm at the focal point of my focusing lens, which
is also a plus.
After all of these discoveries, I tried putting a piece of styrofoam
where the sample will go, and I saw a neat speckling image behind the
huge blotch! I'm not sure what it means exactly, but it was
definitely exciting to see something show up on the camera that had to
do with scattering. Tomorrow, I'll figure out how to capture the
images from the camera, and put up my preliminary images here, also,
I'll add the 1/4-wave plate to the setup and see how that changes what
I'm viewing... I expect the signal to get weaker, but i don't think it
will get so weak that the camera won't pick it up.
Well, I haven't updated my journal in a while, but I've been doing a
lot of work over the last week! I was actually able to image some
cones today, for the first time... after a tremendous amount of work
on my setup. Tonight, I spent a lot of time conducting some
mini-experiments on my setup to try and determine exactly where my
images are coming from, and how well I can get them to resolve. I've
been also trying to learn about the CCD Camera, and how to use it
along with processing the images after I have them. Dr. Noe suggested
that I make a separate page for all these small things that I've been
working on, and I think that I will do that tomorrow. I just compiled
a basic list of the topics on which I've
been working for the last week, and tomorrow I'll add a description
for each experiment along with pictures(!), results and some
discussion. It's been a long trip just to get the images, but now
things should become a bit easier. I just need to figure out how I
can make sure that the images I'm looking at are definitely CBS, and
then I need to try and come up with theoretical fits for the data.
I'm really ecstatic about the images I've seen, and I think this could
be a really cool project once I better understand the theoretical
fits... I understand a lot of the math behind it, but when it comes
down to the specific details of the photons moving inside the
scattering medium, and then determining the intensity function by
using the phase shift function, I get a little lost. Tomorrow, I'll
take pictures of my setup, work on that page about my
mini-experiments, analyze the pictures I've taken, and then try and
reread papers that go in-depth on CBS theory. I made a list of things
to accomplish today, and I'm up to number 7: Sleep.
I've spent the last week learning how to process the images and coming
up with some questions about my project. I lost about a day and a
half of data collection and interpretation because of the blackout,
but I'm commuting back for the next two weeks to try and do as much as
I can before school starts. I talked to Doug Bennett yesterday, and
found the line-shape curve he used to fit his data. I spent this
morning trying to plot the curve on my calculator before the lab was
open, and I'll try and fit the profile that I have with a curve for
the intensity. It comes from the Saulnier paper, but I don't really
understand how it was derived. I need to read the background paper
and fit the data. I've also been working on a site to describe my
experimental setup (Click Here). Tomorrow, I
plan on doing a small experiment with different concentrations of milk
in order to see if I can detect a change in the width of the cone with
the concentrations. Then, I need to determine what the actual mean
free path is in the solutions I use. I'll need some sort of
calibrating solution of a known density and composition.