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Mapping diamond surfaces using interference (view source)
Revision as of 01:41, 28 February 2007
, 01:41, 28 February 2007→A Bit on Electromagnetic Radiation
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.).
== A Bit on 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:wave.gif]]
[[Maxwell's Equations]]
But, what if I need to make formulas?
<math>\frac{1}{\sqrt{2\pi\sigma^2}}e^{-\frac{1}{2}\frac{(x-x_0)^2}{\sigma^2}}</math>
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
{| class="wikitable" style="margin: 1em auto 1em auto"
|<math>\vec{\nabla}\times\vec{D}=\frac{\rho_{ext}}{\epsilon_0}</math>
|align="right" width="200"| (1)
|}
Next let's make some chapter headings.
[[Chapter 1]]
[[Chapter 2]]
[[Chapter 3]]
[[Chapter 4]]
== A Bit on 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:wave.gif]]
[[Maxwell's Equations]]
But, what if I need to make formulas?
<math>\frac{1}{\sqrt{2\pi\sigma^2}}e^{-\frac{1}{2}\frac{(x-x_0)^2}{\sigma^2}}</math>
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
{| class="wikitable" style="margin: 1em auto 1em auto"
|<math>\vec{\nabla}\times\vec{D}=\frac{\rho_{ext}}{\epsilon_0}</math>
|align="right" width="200"| (1)
|}
Next let's make some chapter headings.
[[Chapter 1]]
[[Chapter 2]]
[[Chapter 3]]
[[Chapter 4]]