Fibre Optics (AQA AS Physics): Revision Note

Exam code: 7407

Katie M

Written by: Katie M

Reviewed by: Tim

Updated on

Guided study available on this topic

Understand this topic with deeper explanations and understanding checks.

Fibre optics

  • Total internal reflection is used to reflect light along optical fibres

    • Light, that is normally monochromatic, refracts when it enters the optical fibre at one end

    • It undergoes repeated total internal reflection against the sides of the fibre until it reaches the other end

    • Where it is refracted back out

  • In this process, the light signals travel long distances without losing information or speed

A red light ray enters the light-blue core, undergoes repeated reflections at the black core boundary, and exits at the other end. “i/r” marks incidence and reflection.
Optical fibres utilise total internal reflection where the angle of incidence on the side of the fibre is greater than the critical angle
  • These have many important uses, including:

    • communications, such as telephone and internet transmission

    • medical imaging, such as endoscopes

  • The three main components of optical fibres are:

    • an optically dense core tube, made of plastic or glass

    • a lower optically dense cladding surrounding the core

    • an outer sheath

A ray enters the core of an optical fibre from cladding, then totally internally reflects along the core–cladding boundary. Labels show core n1, cladding n2, n2 < n1, and θ > θc.
A light ray is totally internally reflected down an optical fibre against the core-cladding boundary
  • TIR only occurs when ncladding < ncore

  • This type of optical fibre is called a step-index fibre because the refractive index of each component increases moving from the outside to the centre of the fibre

  • The role of the cladding is to:

    • protect the thin core from damage and scratching

    • prevent signal degradation through light escaping the core, which can cause information from the signal to be lost

    • keep the signals secure and maintain the original signal quality

    • keep the core separate from other fibres, preventing information crossover

Material & modal dispersion

  • Material and modal dispersion both cause pulse broadening 

    • Where the pulses emerging from the fibre are longer than those entering

Material dispersion

  • When white light is used instead of monochromatic light inside an optical fibre it is separated into all the colours of the spectrum

    • The white light is therefore dispersed, so the beam gets wider as it travels down the optical fibre

An original pulse enters an optical fibre as coloured wavelengths, which travel at different speeds and emerge as a broadened pulse. The inset shows the differing reflection paths of each colour.
White light is dispersed into its spectral components
  • Each wavelength of light travels at the same speed in a vacuum but at different speeds in a medium

    • Violet light has the shortest wavelength, so it travels the slowest in the fibre 

    • This means its angle of incidence on the fibre boundary is smallest compared to the other colours

    • The angle of incidence is equal to the angle of reflection, so the angle of reflection is also smaller

    • This means it takes longer for the violet colour to travel down the fibre because it undergoes more reflections 

An incident ray strikes the horizontal boundary and leaves as a reflected ray. A normal is drawn at the point of incidence; red i and orange r mark equal angles.
Remember when a light ray is reflected then the angle of incidence = angle of reflection
  • Modal dispersion occurs when the monochromatic light pulses in the optical fibre spread out

    • This is because each part of the wavefront has a different angle of incidence and consequently a different angle of reflection

    • So each part of the wavefront undergoes total internal reflection a different number of times

    • Hence, each part of the wavefront reaches the end of the fibre at a slightly different time

  • This effect is more prominent when the core of the fibre is wider

    • So the total internal reflection takes place more times

  • To prevent modal dispersion, the core needs to be very narrow

An original pulse enters a wide optical fibre, travels along multiple paths with different numbers of reflections, and emerges as a broadened flat pulse. Labels read “modal dispersion”, “original pulse” and “broadened pulse”.
Modal dispersion occurs in a wide optical fibre where it spreads out and broadens

Pulse broadening & absorption

  • The absorption of a signal in an optical fibre occurs when the fibre absorbs part of the signal’s energy

    • This reduces the amplitude of the signal, which can lead to a loss in the information transmitted

  • Pulse broadening is caused by modal and material dispersion

    • This can result in the merging of pulses, which distorts the information in the final pulse and decreases the amplitude of the signal

Two amplitude–time diagrams show absorption reducing a rectangular pulse’s amplitude, and pulse broadening widening its duration. Dashed outlines compare each altered pulse with the original; axes are labelled amplitude and time.
Absorption reduces the amplitude of a pulse, while pulse broadening makes it longer

Reducing pulse broadening and absorption

  • To reduce absorption:

    • Use an extremely transparent core

    • Use optical fibre repeaters so the pulse is regenerated before significant absorption has taken place

  • To reduce pulse broadening:

    • Use a core that is as narrow as possible to reduce the possible differences in the path length of the signal

    • Use a monochromatic source so the speed of the pulse is constant

    • Use optical fibre repeaters so the pulse is regenerated before significant pulse broadening has taken place

    • Use a single-mode fibre, where only a single wavelength of light passes through the core, to reduce multipath modal dispersion

Worked Example

A cross-sectional view of a step-index optical fibre is shown in the diagram.

A light ray enters from air into the core at an angle θ to the normal, refracts, then travels along the core–cladding boundary.

The light ray enters the end of the fibre and refracts along the core-cladding boundary.

Calculate the angle of incidence, θ, of the ray at the point of entry to the fibre.

The speed of light in the core is 2.027 × 108 m s–1

The speed of light in the cladding is 2.055 × 108 m s–1

[4]

Answer:

A light ray enters from air into the core at an angle θ to the normal, and refracts at an angle 90° − θc to the normal. Then it is incident at an angle θc to the normal between the core–cladding boundary, before travelling along the core–cladding boundary.

Step 1: Calculate the refractive indices of the cladding and the core

n = ccs

Core, ncore = 3 × 1082.027 × 108 = 1.48

Cladding, ncladding = 3 × 1082.055 × 108 = 1.46 [1 mark]

Step 2: Calculate the critical angle

sin θc = n2n1  →  sin θc = ncladdingncore 

θc = sin−1(ncladdingncore) = sin−1(1.461.48) = 80.53° [1 mark]

Step 3: Calculate the angle of refraction

  • Forming a right-angled triangle, as shown in the diagram:

  • The angle of refraction, θr = 90 − θc = 90 − 80.53 = 9.47° [1 mark]

Step 4: Calculate the angle of incidence using Snell's law

n2n1 = sin θ1sin θ2  →  ncorenair = sin θsin θr

sin θ = ncorenair × sin θr = 1.48 × sin(9.47) = 0.244

θ = sin−1(0.244) = 14.1° [1 mark]

Unlock more, it's free!

Join the 100,000+ Students that ❤️ Save My Exams

the (exam) results speak for themselves:

Build on this topic

Katie M

Author: Katie M

Expertise: Curriculum Expert

Katie has always been passionate about the sciences, and completed a degree in Astrophysics at Sheffield University. She decided that she wanted to inspire other young people, so moved to Bristol to complete a PGCE in Secondary Science. She particularly loves creating fun and absorbing materials to help students achieve their exam potential.

Tim

Reviewer: Tim

Expertise: Content Creator

Timothy graduated with a first class degree in Mathematics and Physics from the University of Warwick. After working as a postgraduate researcher, Timothy has worked as a content creator for various online revision platforms, creating physics resources for a range of levels and exam boards.