Presentations Home

This program is funded by the National
Science Foundation through grant number PHY-1157044. Any opinions, findings, and conclusions or recommendations
expressed in this material are those of the author(s) and do not necessarily
reflect the views of the National Science Foundation.

Presentation 1 - Nonlinear Optics:
The Axicon

In this presentation we show the basic
setup of our experiment with the axicon. We also show some analytical pictures of a
laser beam after a lens and after an axicon as well
as the program we used to analyze these images, Origin.

See a more accurate graph of a Gaussian
Beam, using a HeNe with a better mode here.

Presentation 2 – Quantifying the Bessel Beam Part 1

In this presentation, I go through the steps
of how I saved myself over 380, 000,000,000
years, literally. This is my program
that I made in order to quantify a Bessel beam
(produced by an axicon). Unfortunately, as my possible issues state,
this program does only produce a local solution. Thus, we changed methods after this
presentation was given.

Presentation 3 – Quantifying the
Bessel Beam Part 2

This presentation shows how to account
for noise in our Bessel beam quantification and gives a rough explanation of
the new method we are using for the program, The Nelder
Mead Method.

A better explanation of the Nelder Mead Method is given in the book Numerical Methods Using Matlab and see a modification in this paper by Russell Barton and John Ivey of
Pennsylvania State University.

Presentation 4 – Difference Frequency Generation

This presentation gives an overview of
the nonlinear process, difference frequency generation (DFG). I also describe the setup we used to produce
DFG and the results we found.