Malus's Law: I = I₀ cos²θ

Rotate a polarizer; record I(θ) and fit I versus cos²θ. The slope is I₀ in arbitrary units.

School· 18 min·Related simulator: Polarization (Malus)

Goal

Verify linearity of I vs cos²θ and read I₀ from the fit.

Equipment

  • Polarizer + detector

Theory

Malus: transmitted intensity I = I₀ cos²θ. Plot I vs c = cos²θ, slope = I₀.

Procedure

  1. Vary θ 0…85°. Record (θ, I).
  2. Fit I vs cos²θ; slope = I₀.

Experiment

Conclusion

I₀ from fit matches the model.