When light passes from one material to another the direction of
the light usually changes. This is because of a property called the
refractive index of a material, labelled by
The
light changes direction according to Snell's Law, given above. This
is illustrated in the diagram for light passing out of water into
air.
The refractive index of air is taken to be 1. If the refractive
index of water is 1.33, then if we can measure

we
can find

by
calculation. Suppose we measure

to
be 40
o .
o
Total Internal Reflection
From Snell's Law,

there
is a certain vale of

called
the critical angle, for which

This
value is labelled

and
is illustrated below.
For

total
internal reflection occurs. No light passes through the interface
between the two materials.
For

the
angle of refraction is 90
o. All the light passes along the
interface between the two materials.
For

the
light is refracted as it passes from the first material into the
second. This is shown in the first diagram above.
Fibre Optic Cable
Light strikes the interface between the fibre optic thread and the
cladding repeatedly but the angle of incidence is always less than
the critcal angle so total internal reflaction repeatedly takes place
and the light can pass for long distances along the cable.