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Learning Introductory Physics with Activities

Section 19.2 Two-slit Interference

Activity 19.2.1. Warm-up.

Start by playing with the light interference simulation for a few minutes. Click on the “Slits” tab and select the laser. On the right hand side, increase the number of slits to two.

(a)

Sketch a top-down diagram of what you see in the simulation.

(b)

In your sketch, identify any lines of maximum constructive or destructive interference. How did you identify them?

(c)

If you have not done so already, check the “screen” button and the “intensity” button. How does what you see on the screen compare to the lines of maximum constructive or destructive interference you identified?

(d)

Try at least 5 different colors of light. If you measure the distance between the sources as a number of wavelengths, does this number of wavelengths increase, decrease, or remain the same when you increase the frequency. Explain your reasoning.

(e)

Devise a qualitative rule for how the distance between bright spots on the screen depends on the wavelength of the light. (Recall that frequency and wavelength are related by the wave speed.)

Subsubsection Light is Made of Point Sources

A powerful wave property allows complicated light waves to be treated as superpositions of simpler light waves. In particular, any wave front of light can be treated as a collection of point sources of spherical waves, an idea known as Huygen’s Principle.
As a simple example, when a coherent beam of light is incident on two very narrow slits, as shown in the figure below, the light that emerges from the slits can be approximated as two spatially-separated point sources of coherent, in-phase spherical light waves.
A diagram showing the double-slit experiment and the interference pattern that is shown on the screen. Two slits sit on the right side. Plane waves hit the two slits from the left side. As they exist the slits, the wave front becomes spherical, and multiple concentric circles are shown to represent how the light wave behaves. The interference pattern has seven evenly distributed bright spots. The center is labelled m = 0, and the rest are labelled from m = 1 to m = 3 above and below the center.
Figure 19.2.3. Interference pattern produced by light traveling through two adjacent slits. The central maxima is at a value of \(m = 0\text{.}\)

Historical Note 19.2.4. The Double-Slit Experiment.

The Double-Slit Experiment was originally conducted by Thomas Young in 1801 to show that light does indeed behave like a wave. Just like water waves interacting with each other, as light travels through two slits, the crests and troughs of the light waves will interact with each other and produce an interference pattern on the screen behind the slits.