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PhysicsWaves and light

Polarisation

Polarisation (polarization in the US) means making a wave oscillate in one direction only. Light from the Sun or a bulb is unpolarised: it oscillates in every direction at right angles to the way it travels. Pass it through a polarising filter and only one direction gets through, giving plane-polarised light. Only transverse waves can be polarised, so polarisation is evidence that light is a transverse wave.

Polarised and unpolarised waves

OpenStax describes polarisation as the attribute that a wave's oscillations have a definite direction. For light, that direction is the direction of the electric field.

  • Unpolarised waves oscillate in many directions, all square-on to their path. Light from the Sun is unpolarised.
  • Plane-polarised waves oscillate in one plane only, for example only up and down.

Think of a rope tied to a wall and passed through a fence of vertical slats. Shake it up and down and the wave passes through; shake it side to side and the slats stop it. The slats act like a polarising filter.

Why only transverse waves can be polarised

A transverse wave vibrates across its path, and across can mean up and down, side to side or any angle between, and a filter can select one. In a longitudinal wave, such as sound, the oscillations are along the direction of travel, so there is only one possible direction and nothing to filter out. AQA's A-level specification lists polarisation as evidence for the nature of transverse waves: the fact that light can be polarised shows it is transverse.

Polarising filters and crossed polarisers

unpolarisedpolarisedno light
The first filter only lets vertical oscillations through. A second filter at 90° to the first (crossed) blocks the polarised light completely.

A polarising filter, such as Polaroid, only passes the part of the wave that oscillates along its axis. Unpolarised light that passes through one filter comes out plane-polarised, and OpenStax notes that its intensity falls by a factor of 2.

Add a second filter and rotate it:

  • With its axis parallel to the first, the polarised light passes through.
  • As it turns, less and less light gets through.
  • With its axis at 90° to the first (crossed polarisers), no light passes the second filter.

Malus's law

AQA's specification doesn't require it, but the intensity through the second filter follows Malus's law, where θ is the angle between the light's polarisation and the filter's axis:

I=I_0\cos^2\theta

For example, unpolarised light of intensity 80 W m⁻² falls to 40 W m⁻² through the first filter. If the second filter is at 60° to the first, the intensity becomes 40 × cos²60° = 40 × 0.25 = 10 W m⁻².

practice
Pick an answer, then check it.
Two polarising filters are crossed, with their axes at 90°. Unpolarised light shines on the first. What comes out of the second?

Uses of polarisation

AQA names two applications of polarisers: Polaroid material, and the alignment of aerials for transmission and reception.

Polaroid sunglasses and glare

Light reflected from water, glass or a road becomes partly polarised, mostly horizontally. Polaroid sunglasses have filters with vertical axes, so they block much of this reflected glare while still letting through other light. Photographers use polarising filters on cameras for the same reason.

Aligning aerials

Radio and television signals are transmitted plane-polarised, because the transmitting aerial makes the waves oscillate in one plane. A receiving aerial picks up the strongest signal when it is aligned with that plane, so television aerials are mounted either horizontally or vertically to match the transmitter.

Common mistakes

  • Saying sound can be polarised. Sound is longitudinal, so it can't.
  • Saying a filter "turns" the light. It removes the parts not along its axis; it doesn't rotate the oscillations.
  • Forgetting the first filter halves unpolarised light. Use I₀ ÷ 2 before applying Malus's law at the second filter.
  • Thinking crossed polarisers let a little through. Ideal crossed polarisers block all the light.
  • Confusing polarisation with refraction or diffraction. Polarisation is about the direction of oscillation, not the direction of travel.

Light and the electromagnetic spectrum are covered in the Light and Energy course, and transverse and longitudinal waves explains the two wave types. For practice in a short timed paper, try today's A-level Physics: Year 1 paper.

Common questions

What is polarisation?
Restricting the oscillations of a transverse wave to one direction. Polarised light oscillates in a single plane.
Can sound waves be polarised?
No. Sound is a longitudinal wave, so its oscillations are along the direction of travel and can't be restricted to one plane.
What is the difference between polarised and unpolarised light?
Unpolarised light oscillates in many directions at right angles to its travel; polarised light oscillates in only one.
What happens with crossed polarisers?
When two polarising filters have their axes at 90°, no light passes through the second filter.
How do Polaroid sunglasses reduce glare?
Reflected glare is mostly horizontally polarised, and the sunglasses' filters only pass vertically polarised light, so they block much of it.
Why does polarisation show light is transverse?
Only transverse waves can be polarised. Light can be polarised, so it must be a transverse wave.

Polarisation practice questions

1. Unpolarised light of intensity 120 W m⁻² passes through one polarising filter. What is the intensity after it?
One filter halves unpolarised light: 120 ÷ 2 = 60 W m⁻².
2. That light then meets a second filter at 30° to the first. What intensity gets through?
I = I₀ cos² θ = 60 × cos² 30° = 60 × 0.75 = 45 W m⁻².
3. At what angle should the second filter be set to let through a quarter of the light reaching it?
cos² θ = 0.25, so cos θ = 0.5 and θ = 60°.
4. Could two crossed polarising filters cut out a sound in the same way they cut out light?
No. Polarisation only applies to transverse waves. Sound is longitudinal, so the way the filters are turned makes no difference to it.

Revision cards

Say the answer first, then flip the card to check it.

Where to go next

  • Learn it

    Light & Energy

    Waves, photons and the electromagnetic spectrum explained

    Start the course
  • Test it

    A-level Physics: Year 1

    A new exam-style paper every day, with instant marking and a mark scheme

    Start today's paper
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