135
edits
Changes
Jump to navigation
Jump to search
Line 45:
Line 45: − + + + + + + + + + + + + + + + − <math> ( d _2 - d _1 ) V / 2 = /tau </math>
Target Diamond Structural Analysis (view source)
Revision as of 15:39, 5 March 2009
, 15:39, 5 March 2009no edit summary
<math>A^2 _{total} = 2 A^2 (1 + \cos ( d _2 - d _1 ) ) </math>
<math>A^2 _{total} = 2 A^2 (1 + \cos ( d _2 - d _1 ) ) </math>
Because the wave reflecting off the back of the diamond travels through the diamond twice, the term <math> d _2 - d _1 </math> is twice the thickness of the diamond, in seconds. Because this measurement is in unhelpful units, we can multiply it by the speed of light in a diamond and divide by two for the thickness.
Because the wave reflecting off the back of the diamond travels through the diamond twice, the term <math> d _2 - d _1 </math> is twice the thickness of the diamond, in seconds. Because this measurement is in unhelpful units, we can multiply it by the speed of light in a diamond and divide by two for the thickness <math> \tau </math>.
<math> ( d _2 - d _1 ) V / 2 = \tau </math>
We can calculate A by returning the mirror, removing the diamond, and measuring the amplitude from the mirror alone.
== Calculating the Shape ==
Of course, thickness is not the only thing we need. We will also detect a third laser, which reflects off the mirror. We can calculate that the amplitude of this new combined wave will be
<math>A^2 _{total} = A^2 + A^2 _t + 2 A A _t \cos ( d _t ) </math>
Because we have values for A and <math> A _t </math>,