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.
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.
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.
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.
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.