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Oriented light - Senior High School

Polarized Light

Polarized light is an electromagnetic wave whose electric field oscillates in a preferred direction (linear polarization) or according to a regular pattern (circular, elliptical polarization). Natural light is not polarized: the orientations of the field are random.

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How to measure it in class

With the FizziQ app and polarizing filters, it is possible to explore polarization.

Steps:

  • Observe the smartphone screen through a polarizing filter
  • Rotate the filter and observe the intensity variations
  • Note that the LCD screen emits polarized light
  • Cross two polarizing filters: total extinction at 90°
  • Use the FizziQ light meter to measure the transmitted intensity as a function of angle
  • Verify Malus’s law: I = I₀ × cos²θ

Scientific activities on this topic

Possible extensions with FizziQ: Malus’s law with the light meter and polarization by reflection (Brewster’s angle).

Learn more

Types of polarization:

  • Linear: the field oscillates in a fixed plane
  • Circular: the field vector rotates at constant speed
  • Elliptical: general intermediate case
  • Unpolarized: random superposition of all orientations

Polarization methods:

MethodPrinciple
Polarizing filterSelective absorption
Reflection (Brewster)Reflection at a particular angle
BirefringenceCalcite, quartz
ScatteringSky light

Applications:

  • LCD screens (liquid crystals between polarizers)
  • 3D glasses in cinemas (different polarizations)
  • Glare reduction (sunglasses, photography)
  • Stress analysis (photoelasticity)

Formula

Malus’s law: I = I₀ × cos²θ

where:

  • I: transmitted intensity
  • I₀: incident polarized intensity
  • θ: angle between the polarization direction and the polarizer axis

Brewster’s angle: tan(θ_B) = n₂/n₁

where n₁ and n₂ are the refractive indices of the two media.

Application examples

  • LCD screens appear black when viewed with certain polarized glasses
  • The sky is partially polarized, perpendicular to the direction of the Sun
  • Bees use the polarization of the sky to orient themselves
  • Photographers use polarizing filters to eliminate reflections

FAQ

Q: Why does the screen turn black if you rotate the filter by 90°? A: The LCD screen emits polarized light. When the filter is perpendicular to this polarization, Malus’s law gives I = I₀ × cos²(90°) = 0.

Q: Is sunlight polarized? A: No, but it can become polarized by reflection (on water, glass) or by scattering (blue sky).

Q: How to verify Malus’s law with FizziQ? A: Measure the transmitted illuminance through a polarizer at different angles (0°, 30°, 45°, 60°, 90°). Plot I as a function of cos²θ: it is a straight line.

Q: Why do 3D glasses use polarization? A: Each eye receives a differently polarized image. The polarized lenses filter selectively: left eye = left image, right eye = right image.

Visible Spectrum - Wavelength - Interference - Colors

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