Unit 4 - Day 9: Single-Slit Diffraction
Course/Section: SPH4U/Wave Nature of Light
Date: To be decided
Lesson Big Idea(s):
Light has properties that are similar to those of mechanical waves.
The behavior of light as a wave can be described mathematically.
Ministry Expectations:
E2.3 - conduct inquiries involving the diffraction, refraction, polarization, and interference of light waves.
E2.4 - analyze diffraction and interference of water waves and light waves.
E3.2 - describe and explain the diffraction, refraction, polarization, and interference of light waves.
E3.3 - use the concepts of refraction, diffraction, polarization, and wave interference to explain the separation of light
into colors in various situations.
Learning Goals:
Success Criteria:
By the end of the class students will be able to:
Explain how single-slit diffraction creates interference
patterns to increase the resolution of images.
I know students have achieved their learning goals when
they can:
Describe and explain the diffraction pattern of light
through a single-slit.
Mathematically solve problems involving a single-slit
interference pattern.
Describe resolution in terms of diffraction of light.
Expected Prior Knowledge:
Huygens’ Principle: each point on a wave front acts as a new point source for a spherical wave, the evolution of the
wave front can be determined by superposing all of these spherical waves at later times.
Before: Minds On
Time:
5 min
Description
Materials
Minds On: Producing an interference pattern with your fingers!
Fluorescent lights
Have hold their index and middle fingers, about 2mm apart in front of their eyes
and then look at the fluorescent lights in the room. What do you see?
Facilitate a class discussion.
Transition from Minds On to Action:
Now that we’ve seen that it is possible to produce an interference pattern using a single-slit, we’ll begin to
quantify this phenomenon.
During: Action
Time:
Description
15 min
Action 1: What Causes Single-Slit Diffraction?
Show single-slit diffraction (i.e. Frauhofer Diffraction) video from MIT Open Course
Ware: http://www.youtube.com/watch?v=PgW7qaOZD0U
Discussion Question: If there is only one slit, what is causing the interference
pattern?
Allow students some time to discuss the answer to the above question in their
groups and write down ideas on whiteboards. The responses will then be shared
with the class.
Discuss Huygens’ principle: all points across a slit act as wave sources, and these
different waves create an interference pattern on the screen.
We have already used Huygens’ principle to discuss refraction and diffraction.
Light ways that diffract are coherent and interfere.
The interference pattern that formed by the diffracted light is called the
diffraction pattern.
Materials
Laptop
LCD projector
Internet
Whiteboards
Markers
Unit 4 - Day 9: Single-Slit Diffraction
40 min
Action 2: Mini Investigation - Diffraction of Light Using a Single-Slit
See materials in
lab handout
See separated handout titled Single-Slit Diffraction Lab.docx
Copies of Single Students will have seen how the lab is performed in the video from Action 1.
Slit Diffraction
Have students record their results on the blackboard after they’ve completed their
Lab
portion of the activity.
After: Consolidation
Time
15 min
Description
Materials
Consolidation: Summary
Blackboard
Discuss proportionality relationships from student’s results, i.e. the distance Chalk
between adjacent maxima is proportional to the wavelength of light and inversely
proportional to the slit spacing.
Use their results to develop a formula for the slit spacing, which is consistent with
the observed proportionality relationships discovered in class, specifically:
Dy =
lD
w