Wave Optics — Formula Sheet

BC = v_1 \tau

\sin i = \frac{BC}{AC} = \frac{v_1\tau}{AC}

\sin r = \frac{AE}{AC} = \frac{v_2\tau}{AC}

\frac{\sin i}{\sin r} = \frac{v_1}{v_2}

n_2 = \frac{c}{v_2}

S_1P \sim S_2P = n\lambda

S_1P \sim S_2P = (n + \frac{1}{2})\lambda

I = 4I_0 \cos^2 (\phi/2)

x = x_n = \frac{n\lambda D}{d}

Central maximum at θ = 0

Secondary maxima at θ ≈ (n+1/2)λ/a

Minima at θ ≈ nλ/a

Snell's law from Huygens principle is n1 sin i = n2 sin r.

For light going from denser to rarer medium, the critical angle satisfies sin ic = n2 over n1.