Mapping diamond surfaces using interference
This page represents a ongoing project dealing with using interference patterns to map the surface of a diamond wafer. Since this is my first page, you'll have to excuse any blatant errors that I do not pick up on immediately. Currently this page will represent my work with Dr. Richard Jones on an approximation to the beam splitter featured in the Michelson interferometer. I will start by giving a brief introduction to electromagnetic radiation, then move on to the approximation itself (including graphs,etc.). I will hopefully have this up and running by next Wednesday.
Electromagnetic Radiation
Using Maxwell's Equations we can find solutions for a travelling wave comprised of two perpindicular oscillating electric and magnetic fields, whose direction can be giving by the Poynting vector. [image of EM wave here]
What is light?
The Michelson Interferometer
What is a Michelson interferometer?
A simplistic approximation
But, what if I need to make formulas? Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \frac{1}{\sqrt{2\pi\sigma^2}}e^{-\frac{1}{2}\frac{(x-x_0)^2}{\sigma^2}}} I have no idea what that will look like, but let's try it. We can also do vector equations, such as Gauss's Law
| Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \vec{\nabla}\times\vec{D}=\frac{\rho_{ext}}{\epsilon_0}} | (1) |
Next let's make some chapter headings.