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Sound and Light

Total internal reflection and fibre-optic communication

  • 3 things to know
  • A2 4

Overview

The conditions for total internal reflection, semi-circular block experiments, critical angle and refractive index calculations, fibre construction, single mode and multimode fibres, and modal dispersion.

What you need to know

Answer each one before you reveal it.

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Key term

How long does a light pulse take to travel 100 km along a fibre of refractive index 1.5?

Key term

What two conditions are needed for total internal reflection?

Key term

What is seen in a semi-circular glass block as the angle of incidence passes the critical angle?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What two conditions are needed for total internal reflection?

    Model answer

    Light must travel from a medium of higher refractive index towards one of lower refractive index. The angle of incidence must be greater than the critical angle.

  2. 2

    What is seen in a semi-circular glass block as the angle of incidence passes the critical angle?

    Model answer

    Below the critical angle most light refracts out, with a weak reflected ray. Above the critical angle the refracted ray disappears and all the light is reflected back into the block.

  3. 3

    Why does a ray enter the curved face of a semi-circular block without bending?

    Model answer

    The ray is aimed at the centre of the flat face, so it meets the curved surface along a radius. A ray along a normal meets the surface at 90° and does not refract.

  4. 4

    Glass has a refractive index of 1.50. What is its critical angle in air?

    Model answer

    The critical angle is about 41.8°. The working is sin C = 1 ÷ 1.50 = 0.667, so C = 41.8°.

  5. 5

    Light travels at 2.0 × 10⁸ m s⁻¹ in the core of a glass fibre. What is the refractive index of the core?

    Model answer

    The refractive index is 1.5. The working is n = c ÷ v = 3.00 × 10⁸ ÷ 2.0 × 10⁸ = 1.5.

  6. 6

    How long does a light pulse take to travel 100 km along a fibre of refractive index 1.5?

    Model answer

    The pulse takes 5.0 × 10⁻⁴ s, or 0.50 ms. The speed in the fibre is 3.00 × 10⁸ ÷ 1.5 = 2.0 × 10⁸ m s⁻¹. The time is 1.0 × 10⁵ m ÷ 2.0 × 10⁸ m s⁻¹ = 5.0 × 10⁻⁴ s.

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