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Imaging and Signalling

Real images and the curvature of wave-fronts

  • 3 things to know
  • Components 01, 02 and 03

Overview

Recall questions on defining wave-front curvature, the fixed amount a thin lens adds, wave-fronts from a distant object, the standard ray constructions, and why the image is inverted.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Key term

Explain in terms of the speed of light why a converging lens curves a wave-front inwards.

Key term

What is a real image?

Key term

How is the curvature of a spherical wave-front defined?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is a real image?

    Model answer

    A real image is formed where light rays actually converge, so it can be caught on a screen placed at that position.

  2. 2

    Explain what a thin converging lens does to a wave-front passing through it.

    Model answer

    It adds a fixed amount of curvature to every wave-front, making a diverging wave-front less divergent or turning it into a converging one.

  3. 3

    How is the curvature of a spherical wave-front defined?

    Model answer

    Curvature is 1/r, where r is the radius of curvature of the wave-front, so it is measured in m⁻¹.

  4. 4

    Why does a wave-front become less curved the further it travels from a point source?

    Model answer

    Its radius of curvature grows with distance and curvature is the reciprocal of that radius, so the curvature falls.

  5. 5

    Explain why the curvature added by a given thin lens is the same wherever the object is placed.

    Model answer

    The curvature added depends only on the shape of the lens surfaces and its refractive index, neither of which changes when the object moves.

  6. 6

    Explain in terms of the speed of light why a converging lens curves a wave-front inwards.

    Model answer

    Light travels more slowly in glass, and the lens is thickest at its centre, so the middle of the wave-front is delayed most and the emerging wave-front bulges inwards.

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