CONTENTS

• Introduction
• Chapter 1: Physical Basis of Geometrical Optics
• Chapter 2: Basic Matrix Algebra
• Chapter 3: The Basic Matrix Transformations of Geometrical Optics
  • The Variables
  • The Translation Matrix
  • The Refraction Matrix
  • Translation and Refraction
• Chapter 4: The General Optical System
  • The General Matrix
  • The Focal Points and Planes
• Chapter 5: Image Formation
  • Newton's Equations
  • The Cardinal Points
    • Positive Principal Points
    • Negative Principal Points
    • Positive Nodal Points
    • Negative Nodal Points
• Chapter 6: Practical Optical Systems
  • The Single Refracting Surface
  • The Thin Lens
  • A Combination of Two Thin Lenses
  • The Telescope
  • The Ocular
  • The Magnifier
• Chapter 7: Spherical Mirrors
  • The Single Reflecting Surface
  • A Thick Mirror
  • The Astronomical Reflecting Telescope
• Appendix: A computer programme to calculate the matrix of an optical system.

In this second edition the order of the matrix equations have been inverted in order to conform with other applications of matrices (such as multi-layer thin films). Also this makes the application of the method somewhat simpler as the order of matrix multiplication then relates directly to the order in which a light ray passes through the different elements of an optical system.

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