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Line 2: − + + + + + + + + + + + + + − 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] − [[Image:emwave.jpg|thumb|An Electromagnetic Wave! (courtesy of [http://www.mtholyoke.edu/~mlyount/MySites/ForensicSpectroscopy/Vocab.html])]] − What is light? − [[Image:MichIntInt.jpg|thumb|Interference from a Michelson Interferometer (courtesy of [http://www.arikah.com/encyclopedia/Interference])]] − == The Michelson Interferometer == − [[Image:MIint.gif|thumb|A Michelson Interferometer! (courtesy of [http://scienceworld.wolfram.com/physics/MichelsonInterferometer.html])]] − What is a Michelson interferometer? Line 20:
Line 24: − − 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]]
Mapping diamond surfaces using interference (view source)
Revision as of 13:22, 14 March 2007
, 13:22, 14 March 2007no edit summary
==Electromagnetic Radiation ==
==INTERFERENCE AND LIGHT WAVES==
Light (electromagnetic radiation) [[Image:emwave.jpg|thumb|An Electromagnetic Wave! (courtesy of [http://www.mtholyoke.edu/~mlyount/MySites/ForensicSpectroscopy/Vocab.html])]] is comprised of an temporally and spatially oscillating electric and magnetic field components. These components are orthogonal to each other as well as to the direction of propagation given by the Poynting vector. Wave equations for the electric and magnetic fields can be derived using [[Maxwell's Equations]].
Something about plane wave solutions here.
Electromagnetic waves also have the property that they interfere. [[Image:MichIntInt.jpg|thumb|Interference from a Michelson Interferometer (courtesy of [http://www.arikah.com/encyclopedia/Interference])]] Like interfering mechanical waves, EM waves can interfere destructively or constructively depending on the phase difference between the two waves. In order for this to occur, the light waves must be traveling in the same direction, be of the same wavelength and have “a constant phase with respect to each other” (Serway and Jewett 1177). A picture of EM wave interference is shown at right.
==INTERFEREOMETRY AND THE MICHELSON INTERFEROMETER==
Interferometry is the splitting of light beams into two or more paths and the recombining of those different beams to measure “difference in optical path, length and refractive index” (Candler 9) via interference fringes that form as a result of the recombined beams.
The Michelson interferometer [[Image:MIint.gif|thumb|A Michelson Interferometer! (courtesy of [http://scienceworld.wolfram.com/physics/MichelsonInterferometer.html])]] was invented by Albert Michelson in 1882 “to detect a change in the velocity of light due to the motion of the [ether]” (110). The findings of Michelson's experiment eventually went on to support Einstein's theory of relativity.
For our experiment we will be utilizing the fringes of the Michelson interferometer to gather information about the topology of synthetic diamond wafers.
[[Maxwell's Equations]]
A simplistic approximation
A simplistic approximation
[[Maxwell's Equations]]
[[Maxwell's Equations]]