A graded-index rod has a parabolic index profile with and diameter .

PHYSICS · Multi-part · Fermi University Physics · Optics & Photonics · Geometrical optics and imaging · Geometrical optics and imaging

What an Instrument Can See, Ch Aberrations: the phase written on the pupil

Problem

A graded-index rod has a parabolic index profile

n(r) = n_0\left(1 - \tfrac{1}{2}g^2r^2\right)

with

g = 0.28\ \mathrm{mm}^{-1}

and diameter

2.0\ \mathrm{mm}

. ((a)) Find the period of the paraxial ray oscillation in the rod. ((b)) Find the length of a quarter-pitch rod, and state what a quarter-pitch length does to light entering from a point source on the input face.

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