diffraction - wordpress.com...university of cape town 2 huygens’ principle: every pointon a wave...

14
1 DIFFRACTION Dr Spencer Wheaton Dept. of Physics University of Cape Town

Upload: others

Post on 04-Oct-2020

0 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Diffraction - WordPress.com...University of Cape Town 2 Huygens’ Principle: Every pointon a wave frontacts as a source of tiny waveletsthat move forward with the same speed as the

1

DIFFRACTIONDr Spencer WheatonDept. of Physics University of Cape Town

Page 2: Diffraction - WordPress.com...University of Cape Town 2 Huygens’ Principle: Every pointon a wave frontacts as a source of tiny waveletsthat move forward with the same speed as the

2

Huygens’ Principle:Every point on a wave front acts as a source of tiny wavelets that move forward with the same speed as the wave; the wave front at a later instant is the surface that is tangent

to the wavelets

1. Huygens’ Principle

Page 3: Diffraction - WordPress.com...University of Cape Town 2 Huygens’ Principle: Every pointon a wave frontacts as a source of tiny waveletsthat move forward with the same speed as the

3

Huygens’ Principle:Plane Waves

Huygens’ Principle:Circular Waves

Page 4: Diffraction - WordPress.com...University of Cape Town 2 Huygens’ Principle: Every pointon a wave frontacts as a source of tiny waveletsthat move forward with the same speed as the

4

2. DiffractionDiffraction is the bending of waves around

obstacles or the edges of an opening:

Diffraction of water waves

Page 5: Diffraction - WordPress.com...University of Cape Town 2 Huygens’ Principle: Every pointon a wave frontacts as a source of tiny waveletsthat move forward with the same speed as the

5

In fact, the intensity of the sound varies with position (see later)

Diffraction of sound waves

No Diffraction:

Diffraction:

Can hear around corners!

Page 6: Diffraction - WordPress.com...University of Cape Town 2 Huygens’ Principle: Every pointon a wave frontacts as a source of tiny waveletsthat move forward with the same speed as the

6

Diffraction is an interference effect

explained by Huygens’ Principle

Page 7: Diffraction - WordPress.com...University of Cape Town 2 Huygens’ Principle: Every pointon a wave frontacts as a source of tiny waveletsthat move forward with the same speed as the

7

Question: Why is it that you hear sound around corners but don’t see around

corners?Answer: Diffraction is only appreciable when the opening or obstacle is of comparable size

to wavelength of wave (light has a tiny wavelength)

Page 8: Diffraction - WordPress.com...University of Cape Town 2 Huygens’ Principle: Every pointon a wave frontacts as a source of tiny waveletsthat move forward with the same speed as the

8

Almost no diffraction

Little diffraction

Large diffraction

Page 9: Diffraction - WordPress.com...University of Cape Town 2 Huygens’ Principle: Every pointon a wave frontacts as a source of tiny waveletsthat move forward with the same speed as the

9

Diffraction of light

Light is bent around obstacles and openings too!

Intensity varies with position

Page 10: Diffraction - WordPress.com...University of Cape Town 2 Huygens’ Principle: Every pointon a wave frontacts as a source of tiny waveletsthat move forward with the same speed as the

10

Bright and Dark Bands(interference)

3. Diffraction of Light by Single-Slit

Without DiffractionWith Diffraction

Page 11: Diffraction - WordPress.com...University of Cape Town 2 Huygens’ Principle: Every pointon a wave frontacts as a source of tiny waveletsthat move forward with the same speed as the

11

Page 12: Diffraction - WordPress.com...University of Cape Town 2 Huygens’ Principle: Every pointon a wave frontacts as a source of tiny waveletsthat move forward with the same speed as the

12

Central Bright Fringe

Constructive interference

Waves in phase

Page 13: Diffraction - WordPress.com...University of Cape Town 2 Huygens’ Principle: Every pointon a wave frontacts as a source of tiny waveletsthat move forward with the same speed as the

13

First Dark Fringe

Destructive interference

Waves out of phase

Page 14: Diffraction - WordPress.com...University of Cape Town 2 Huygens’ Principle: Every pointon a wave frontacts as a source of tiny waveletsthat move forward with the same speed as the

14

Second Dark Fringe

Destructive interference

Waves out of phase