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Physics

Polarization of light

Use Jones-vector optics to compare Malus transmission, three polarizers, a quarter-wave retarder and an ideal twisted liquid-crystal cell.

Polarization of light — Actual application image
Actual application image

Try this

Rotate filters without restarting. Click a filter to turn it by 15°. The screen follows measured intensity.

Equations used in the module
Equations
Eout = a(aᵀ Ein); a = (cos θ, sin θ)
Iout = |Ex|² + |Ey|²; Malus: I/I0 = cos²θ
Quarter-wave plate: R(θ) diag(1,i) R(−θ)
Crossed with middle angle α: I/I0 = cos²α sin²α

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Rainbow — Actual application image

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Trace refraction, dispersion and internal reflections through a spherical water drop. Compare primary and secondary rainbow angles and the reversal of colour order.

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Capillarity and surface tension — Actual application image

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