Dispersion and Scattering of Light — Formula Sheet

μ = c/v = λ_a / λ_m

δ = (μ − 1) × A

i + e = A + δ

r₁ + r₂ = A

μ = sin((A + δ_m)/2) / sin(A/2)

I ∝ 1/λ⁴

Angular dispersion between violet and red

θ = δ_V − δ_R

Angle of Deviation δ = angle between emergent ray and original incident ray direction

At minimum deviation

i = e and r₁ = r₂ = A/2

Angular Dispersion = δ_V - δ_R = (μ_V - μ_R) × A

Dispersive Power ω = (δ_V - δ_R) / δ_Y = (μ_V - μ_R) / (μ_Y - 1)

Angular Dispersion is the difference in deviation angles for two extreme colours of the visible spectrum: Angular Dispersion = δV - δR.