- #1
- 19,480
- 10,130
Definition/Summary
The double-slit is a simple configuration used to demonstrate interference effects in waves.
Equations
At distances that are large compared to the spacing between the slits (i.e. the far-field), the interference maxima (bright fringes) occur at angles such that
[tex]d \ \sin\theta \ = \ m \ \lambda[/tex]
where
[tex]\begin{align*}d & = \text{the slit spacing (center-to-center)} \\\theta & = \text{the far-field angle} \\m & = \text{(any integer) the order of the }m^{th} \text{ fringe} \\\lambda & = \text{wavelength}\end{align*}[/tex]
and the minima (dark fringes, or zeroes) occur at
[tex]d \ \sin\theta \ = \ \left(m+\frac{1}{2}\right) \ \lambda[/tex]
The far-field intensity, as a function of angle, is given by
[tex]I(\theta) \ = \ 4 I_0 \cdot\cos^2 \delta \cdot\left( \frac{\sin \beta}{\beta} \right)^2[/tex]
where
[tex]\begin{align*}I_0 & = \text{Central peak intensity due...
Continue reading...
Attachments
-
interference.gif9.6 KB · Views: 142
-
interference.gif9.6 KB · Views: 111
-
interference.gif9.6 KB · Views: 109
-
interference.gif9.6 KB · Views: 94
-
interference.gif9.6 KB · Views: 99
-
interference.gif9.6 KB · Views: 95
-
interference.gif9.6 KB · Views: 90
-
interference.gif9.6 KB · Views: 88
-
interference.gif9.6 KB · Views: 91
-
interference.gif9.6 KB · Views: 91
-
interference.gif9.6 KB · Views: 97
-
interference.gif9.6 KB · Views: 92
-
interference.gif9.6 KB · Views: 74
-
interference.gif9.6 KB · Views: 59
Last edited: