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Target Diamond Structural Analysis (view source)
Revision as of 15:03, 23 April 2009
, 15:03, 23 April 2009→Interference
we can solve for I in terms of X.
we can solve for I in terms of X.
<math> I(x)
<math> I(x)= I (\frac{\sin(\frac{KR}{2}\sin^{-1}(\frac{R}{L}))}{\frac{KR}{2}\sin^{-1}(\frac{R}{L})})^2</math>
Since
<math>\sin(\lambda) = 0</math>
our zeroes are at
<math> \frac{KR}{2}\sin^{-1}(\frac{R}{L}) = 0 </math>
since this makes the sine function in the numerator zero.
This means that
<math> L = \frac{R}{2\tan(\sin^{-1}(\frac{\lambda}{R}))}</math>
Unfortunately, this gives us absurd values for the necessary length of the optical path; for R to be plausibly small, L quickly approaches similar orders of magnitude. This approach is therefore invalid.
If we use the double-slit approach, treating the diamond as the spacing between the slits, the slits become arbitrarily large. Under this approximation,
== Color of the Laser ==
== Color of the Laser ==
* Compensate for interference
* Compensate for interference
* Compensate for other sources of error
* Compensate for other sources of error
* Calculate expected error</math>
* Calculate expected error