Geometric Optics, Vision and Optical Instruments

64 The Ray Aspect of Light

Learning Objectives

  • Describe the different ways light can travel from a source to an observer.
  • Explain when light can be modeled as traveling along straight-line rays.
  • Define geometric optics and distinguish reflection from refraction.

Light can travel from a source to an observer in several ways. It may travel directly through empty space, as sunlight does on its way from the Sun to Earth. It may pass through one or more transparent materials, such as air, water, glass, or the tissues of the eye. Light may also reach an observer after reflecting from an object, such as a mirror or the surface of the skin.

In each of these situations, light can often be represented as traveling along straight lines called rays. A ray indicates the direction in which light travels. Light may change direction when it reflects from a surface or passes from one material into another, but between these interactions it travels approximately in a straight line.

Light Ray

A ray is a straight line used to represent the direction in which light travels. The arrow on a ray indicates the direction of propagation.

Diagram showing sunlight traveling directly through space to Earth and light reaching a person either by passing through air and glass or by reflecting from a mirror.
Figure 64.1: Light can reach an observer in several ways. It may travel directly from a source through empty space, pass through transparent materials such as air and glass, or arrive after reflecting from a surface such as a mirror.

The ray model works well when light interacts with objects that are much larger than its wavelength. Visible-light wavelengths are approximately 400 to 700 nm, much smaller than most objects encountered in everyday life. Therefore, when light interacts with mirrors, lenses, windows, the cornea, or other visible objects, its path can usually be treated as a straight ray.

The ray model does not describe every property of light. When light encounters very small openings, edges, or structures comparable in size to its wavelength, wave effects such as diffraction and interference become important. Those effects will be studied later in wave optics.

Geometric Optics

The branch of optics that treats light as traveling along rays is called geometric optics. Because rays are represented by straight lines, many optical problems can be solved using geometry and trigonometry.

Two fundamental processes determine how light changes direction when it interacts with matter:

  • Reflection occurs when light strikes a surface and returns to the original medium.
  • Refraction occurs when light passes from one material into another and changes direction because its speed changes.

These processes explain how mirrors form images, how lenses focus light, and how the eye produces an image on the retina. They also underlie many medical instruments, including ophthalmoscopes, microscopes, endoscopes, and corrective lenses.

Making Connections: Light in the Eye

Light entering the eye passes through several different materials, including air, the cornea, aqueous humor, the lens, and vitreous humor. At each boundary, some light may be reflected and some may be refracted. The combined refraction produced mainly by the cornea and lens focuses an image onto the retina.

Section Summary

  • A ray is a straight line used to represent the direction in which light travels.
  • Light may reach an observer directly from a source, after traveling through one or more transparent materials, or after reflecting from a surface.
  • The ray model works well when light interacts with objects much larger than its wavelength.
  • Geometric optics is the branch of optics that models light as traveling along rays.
  • Reflection occurs when light returns from a surface, while refraction occurs when light changes direction as it passes between materials.

Problems & Exercises

  1. A person stands in front of a plane mirror, as shown in Figure 64.2. The person’s eyes are 1.65 m above the floor, and the top of the head is 0.13 m above the eyes.
    1. How high above the floor must the top of the smallest mirror be so that the person can see the top of the head?
    2. How high above the floor must the bottom of the mirror be so that the person can see the feet?
    3. What is the minimum height of the mirror?
    4. How is the minimum mirror height related to the person’s total height?
    A person stands in front of a vertical mirror. Light rays from the top of the head and from the feet reflect from the mirror into the person's eyes, showing that a mirror shorter than the person can produce a full-body view.
    Figure 64.2: A full-length view does not require a mirror as tall as the person. The required mirror height is independent of the person’s distance from the mirror.

Glossary

ray
a straight line used to represent the direction in which light travels
geometric optics
the branch of optics that describes light as traveling along straight-line rays
reflection
the change in direction of light when it strikes a surface and returns to the original medium
refraction
the change in direction of light as it passes from one material into another because its speed changes
definition

License

Icon for the Creative Commons Attribution 4.0 International License

Introductory Physics for the Health and Life Sciences II Copyright © 2012 by OSCRiceUniversity is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.