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Learning Introductory Physics with Activities

Section 20.1 Combined Interference & Diffraction

You have now seen the intensity pattern created by coherent light traveling through several different arrangements of slits. Two of the most basic are:
In practice, real slits never have a truly infinitesimal width, so any actual interference pattern due to two slits will be a combination of the two patterns above.

Subsubsection Activities

Activity 20.1.1. Intensity Pattern Points.

In each pattern above, mark at least three different points where it is easy to write a relationship between the wavelength of the light and the position or angle to the point on the screen
Answer.
In the first graph (for single-slit diffraction), it is relatively easy to locate the diffraction minima. The first diffraction minima, for example, is located at a point on the screen where \(a\sin\theta=\lambda\text{,}\) where \(a\) is the width of the slit.
In the second graph (for double-slit interference), it is relatively easy to locate either maxima or minima. The first principal maximum to either the left or the right is located at a point on the screen where \(d\sin\theta=\lambda\text{,}\) where \(d\) is the width of the slit.

Activity 20.1.2. Combined Pattern.

The graph below shows an example of the intensity graph due to two slits with non-infinitesimal width. Briefly explain why you think this graph might be reasonable, given the shapes of the two graphs referenced above.
Figure 20.1.1. Intensity graph for two non-infinitesimal slits.