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Construction of a Tabletop Michelson Interferometer (view source)
Revision as of 19:29, 2 July 2009
, 19:29, 2 July 2009→Determining Angle of First Diffraction Minimum
<math>A(r')=\frac{-z'\dot{A_0}}{2\pi c}\int_{z=0} rdrd\phi \frac{e^{-ik(t'c-|\mathbf{r}-\mathbf{r}'|)}}{|\mathbf{r}-\mathbf{r}'|^2}</math><br><br>
<math>A(r')=\frac{-z'\dot{A_0}}{2\pi c}\int_{z=0} rdrd\phi \frac{e^{-ik(t'c-|\mathbf{r}-\mathbf{r}'|)}}{|\mathbf{r}-\mathbf{r}'|^2}</math><br><br>
Let<math>\mathcal{J}(r')=\int_0^a rdr\int_0^2\pi d\phi \frac{e^{ik|\mathbf{r}-\mathbf{r}'|}}{|\mathbf{r}-\mathbf{r}'|}</math><br><br>
Let<math>\mathcal{J}(r')=\int_0^a rdr\int_0^2\pi d\phi \frac{e^{ik|\mathbf{r}-\mathbf{r}'|}}{|\mathbf{r}-\mathbf{r}'|}</math><br><br>
Then <math>A(r')=\frac{-z'\hat{A_0}}{2\pi c}e^{-ikct'}\mathcal{J}(r')</math>
Then <math>A(r')=\frac{-z'\dot{A_0}}{2\pi c}e^{-ikct'}\mathcal{J}(r')</math>