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Polarization of light, Theory – Casio EA-200 User Manual

Page 22

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20020601

English

Activity: Setup

Activity: Setup

2-5-1

í Equipment

Polarizers (2)

Thick Paper

Wood

Penlight

Glass

Screen

Protractor

Optical Measurement Setup (EA-200, graphic scientific calculator, data communication

cable, optical probe)

í Preparing the Polarizers

u Cut holes in three sheets of thick paper, and use the protractor to measure and mark

angles on one of them.

u Mark the polarizing direction on the polarizers, and cut out one as a circle.
u Affix the wood frame and blocks to the thick paper, sandwich the polarizer between the

two sheets of paper as shown in the illustration.

í Preparing the Glass Stand

u Fix the screen one centimeter above the glass surface that will be struck by the incident

light.

u Affix the protractor in accordance with the screen position.

This activity investigates the relationship between reflection, refraction, and polarization of

light.

Light is electromagnetic radiation that has the properties of transverse waves. Sunlight

includes transverse waves that oscillate in various directions.

A polarizer allows only light vibrating in a specific direction to pass, which means that

sunlight coming out the other side is vibrating in that direction. This is called “polarization of

light.” Stacking together two polarizers with their polarization directions oriented

perpendicular to each other “extinguishes” the light, which means that no light penetrates

the second polarizer.

The expression below represents the change in the amplitude of light passing through the

second polarizer. Since light quantity changes in proportion to the square of its amplitude,

the light passing through the second polarizer is darker than the original light.

A

= Acosθ

A’

: Amplitude of Light

Polarized by Polarizer 2

A

: Amplitude of Light

Polarized by Polarizer 1

θ

(

°) : Angle of Polarization

Direction of Two Polarizers

Most light is polarized when it is reflected or refracted by the boundary surface of material

where electromagnetic fields meet the required boundary conditions.

Especially at an angle called “Brewster’s angle,” polarization is completely linear, and

reflected light and refracted light polarization is orthogonal. The expression shown below

defines the conditions that such an angle needs to satisfy.

α + β =

90

°

α

(

°) : Angle of Incidence and

Angle of Reflection

β

(

°) : Angle of Refraction

Polarization of Light

Theory

1

Wood Frame

2

Wood Blocks

3

Thick Paper with Hole Cut
Out

4

Arrow Indicating Polarizing
Direction

5

Removable Polarizer

6

Circular Polarizer

7

Angle Markings

1

Glass

2

Screen

3

Protractor

4

Distance Between Screen
and Glass Surface: 1cm

1

Incident Light

2

Reflected Light

3

Refracted Light

4

Boundary
Surface