The ordinary-ray refractive index of sapphire follows the Sellmeier form n^2 = 1 +…

PHYSICS · Subjective · Fermi University Physics · Optics & Photonics · Wave propagation and light in media · Wave propagation and light in media

What an Instrument Can See, Ch The optical constants of a medium

Problem

The ordinary-ray refractive index of sapphire follows the Sellmeier form

n^2 = 1 + \frac{1.4313493\,\lambda^2}{\lambda^2 - (0.0726631)^2} + \frac{0.65054713\,\lambda^2}{\lambda^2 - (0.1193242)^2} + \frac{5.3414021\,\lambda^2}{\lambda^2 - (18.028251)^2},

with

\lambda

in micrometres. Compute the ordinary index of sapphire at

\lambda = 0.633\,\mu\mathrm{m}

(a common helium-neon laser wavelength).