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Question

What causes the intensity of light to vary sinusoidally with angle when passing through two polaroids?

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Explanation

**Polarization requires transverse waves** because only transverse can have orientation perpendicular to propagation, longitudinal cannot be polarized, wave theory requires light transverse to explain polarization, polaroids transmit only component along pass-axis, unpolarized has random transverse orientations, after polaroid polarized. The intensity follows Malus’ law, where it varies as the square of the cosine of the angle between the polaroids’ axes, producing a sinusoidal pattern. Using Δ = d sinθ, y = n λ D/d, a sinθ = n λ, I = I₀ cos²θ, n = c/v, sinC = 1/n, λ' = λ/n and A = 2a cos(φ/2), calculation gives Cosine-squared dependence, illustrating interference, diffraction and polarization principles.

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