OPSIDOR · Optics & Vision

Optics: from light to the lens

A visual study guide with worked problems for opticians and optometry students. It follows light from the source, through glass, to the eye.

white light prism 760 nm 380 nm
380 nm450550650760 nm

The visible range used throughout Topic 1: 380 to 760 nm, or 0.38 to 0.76 µm.

About the handbook

Short topics you can read in an evening

The handbook is for beginners in optics, working opticians, and anyone who wants to understand how light reaches the eye through lenses. Each topic uses clear explanations, clean diagrams and numerical examples. It was written by a qualified optician from their own lecture notes, and each topic was checked against standard textbooks and professional sources.

134pages
17theory topics
2practice modules
3appendices
Part 1 · Topics 1–5

Wave and quantum optics

What light is: theories of its nature, wavelength and frequency, interference, diffraction, polarization and dispersion.

Part 2 · Topics 6–11

Geometrical optics

How a ray behaves: basic concepts and laws, reflection and refraction, total internal reflection, mirrors, plates and prisms.

Part 3 · Topics 12–17

Optical elements

Prisms, spherical surfaces, magnification, spherical mirrors, lenses and sphero-cylinders: the basis of spectacle and contact lenses.

Practice · 2 modules

From theory to the patient

The clinic workflow, and recalculating lens power from spectacles to contact lenses.

Appendix A · p. 121

All formulas in one place

Appendix B–C · p. 126, 133

Glossary and references

Contents

Seventeen topics, one idea each

Filter by part. Page numbers refer to the handbook, and the highlighted line is the key relation from Appendix A.

Inside every topic

The same structure, every time

Once you know the layout of one topic you know them all. Each ends with solved problems, self-check questions with answers, and a glossary.

What you will learn

4–5 goals

The aims of the topic, listed at the start.

Remember

The essentials

The most important points that should stay in memory.

Warning

Common mistakes

Where students most often go wrong, including the two sign-convention boxes.

In practice

Link to the clinic

How the topic connects to work in optics and the eye-care office.

For the curious

History and depth

Deeper explanations and history. Skip them on a first read.

Yellow frame

Formulas

The topic's main formulas, repeated in Appendix A.

Notation used throughout

  • Sign convention: Cartesian, as in optometry. Light travels left to right, so a real object on the left has s < 0.
  • Primes: unprimed quantities (s, f, n) belong to object space, primed ones (s′, f′, n′) to image space.
  • Units: nm and µm for wavelengths, D for power, Δ for prism power.
  • Prescriptions: written S C × axis, for example −4.00 −1.00 × 180. OD is the right eye, OS the left.
Important

A study aid, not a replacement

The handbook does not replace your official textbook or your instructor's guidance. Where they differ, follow your course. The practice modules are for education. Contact lenses should only be fitted by a qualified eye care professional.

Try the formulas

Four calculators from the handbook

Each one runs a formula from the book with the same constants and sign rules. Change a value and the result updates.

Topic 1 · p. 6–11

From wavelength to photon energy

c = λ·ν, T = 1/ν, E = h·ν with c = 3·10⁸ m/s and h = 6.63·10⁻³⁴ J·s. The default is the green light from the handbook's solved problem.

Region
λ in µm
λ in mm
Frequency ν
Period T
Photon energy E
Appendix A · a selection

Formulas at a glance

A sample from the handbook's formula appendix. The full list covers every topic and both practice modules.

FormulaMeaningTopic
The full guide

Get the complete handbook

The calculators and summaries on this site are a sample. The guide gives you every explanation, diagram and worked problem in order.

  • 134 pages covering all 17 topics, in three parts
  • Solved problems step by step, self-check questions with answers, and a glossary for every topic
  • Two practice modules: working with a patient, and spectacles to contact lenses
  • Appendix A with every formula in one place, a glossary of terms and a reference list
Optics: from light to the lens · v1.0
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