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Snell’s law, Sin θ, Where: n – Elenco Fiber Optics Voice and Data Kit User Manual

Page 12: And n, Are refractive indexes θ, And θ, Is θc = arcsin (n, Are equal (since they are in the same material), θ

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SNELL’S LAW

-11-

Figure 2D

Figure 2D-1

Figure 2D-2

Figure 2D-3

θ

2

n

1

n

2

Critical Angle

Light is bent away from normal

Light does not enter

second material

Angle of

Refraction

Angle of Incidence

n

1

n

2

n

1

n

2

θ

1

Angle of

reflection

Angle of

incidence

=

When the angle of reflection is
more than the critical angle, light
is reflected.

n

1

is greater than n

2

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The above paragraphs are reproduced by permission TECHNICIAN’S GUIDE TO FIBER OPTICS 2E (PAGE 40)

By Donald J Sterling, Jr. - DELMAR PUBLISHERS, INC., Albany, New York, Copyright 1993

Snell’s Law states the relationship between the
incident and refracted rays.

n

1

sin

θ

1

= n

2

sin

θ

2

where: n

1

and n

2

are refractive indexes

θ

1

and

θ

2

are angle of incidence and angle of

refraction respectively.

The law shows that the angles depend on the
refracted indices on the two materials. Knowing any
three of the values, of course, allows us to calculate
the fourth through simple rearrangement of the
equation.

The critical angle of incidence

θc, where θ

2

=

90

O

, is

θc = arcsin (n

2

/n

1

)

At an angle greater than

θc, the light is reflected.

Because reflected light means that n

1

and n

2

are

equal (since they are in the same material),

θ

1

and

θ

2

are also equal. The angle of incidence and

reflection are equal. These simple principles of
refraction and reflection form the basis of light
propagation through an optical fiber.

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