Week of 9/17

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Latest revision as of 15:47, 21 September 2007

9/21/07: More on the Fabry-Perot etalon

$E_t = (E_0 t^2) e^{i \omega L/c} + r^2 (E_0 t^2) e^{i \omega 3L/c} + r^4 (E_0 t^2) e^{i \omega 5L/c} .... \,$

or

$E_t = (E_0 t^2) e^{i \omega L/c}\left[ 1 + r^2 e^{i \omega 2L/c} + r^4 e^{i \omega 4L/c} ...\right]$

Hence

$E_t = (E_0 t^2) e^{i \omega L/c} \frac{ 1 - r^2m e^{i \omega 2mL/c}} {1 - r^2m e^{i \omega 2L/c}}$

Take the limit as the number of bounces goes to infinity, then take $| E t | 2$ and We get:

$I_t/I_i = \frac{1}{1+ K \sin^2(L \omega/c)}$

where $K = 2 r / (1 - r) 2$ and $r$ is the reflectivity of the mirror.

Revision as of 17:35, 20 September 2007 (view source) Jscales (Talk \| contribs) (New page: {{mathematica\|filename=Resonance.nb\|title=amplitude and phase spectrum of a single resonance.}} '''9/21/07: More on the Fabry-Perot etalon''' <math>E_t = (E_0 t^2) e^{i \omega L/c} + ...)		Latest revision as of 15:47, 21 September 2007 (view source) Jscales (Talk \| contribs)
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