Grade by Grade
E. Physics: Light and Geometric Optics · Light and Geometric Optics

The Eye and Technologies for Seeing Better

E1.1 E3.6 A1.9 A2.1 A2.2About 75 minutes
Learning goals
  • I can describe how the parts of the eye work together to form an image.
  • I can explain nearsightedness, farsightedness, presbyopia and astigmatism and how lenses correct them.
  • I can calculate lens power in dioptres.
  • I can evaluate eyeglasses, contact lenses, laser surgery and other vision technologies using criteria and reliable sources.

Words to know

cornea
The clear front surface of the eye; it does most of the focusing.
iris
The coloured muscle that controls the size of the pupil.
retina
The light-sensitive layer at the back of the eye, containing rods and cones.
accommodation
The eye's ability to change the shape of its lens to focus at different distances.
myopia (nearsightedness)
A condition in which distant objects are blurry because light focuses in front of the retina.
hyperopia (farsightedness)
A condition in which near objects are blurry because light would focus behind the retina.
presbyopia
Loss of near focusing with age as the eye's lens stiffens.
dioptre (D)
The unit of lens power: P = 1/f, with f in metres.

The camera you were born with

Your eye is an optical instrument that focuses light, controls brightness, and sends images to your brain thousands of times a minute. When it doesn't focus perfectly, technology can help: eyeglasses, contact lenses and laser surgery. Other technologies extend human vision into light we can't see at all. In this lesson you will use what you know about lenses to explain how the eye works and to evaluate these technologies.

Parts of the eye

  • Cornea: the clear, curved front surface. It does most (about two-thirds) of the eye's focusing, because the biggest change in index of refraction is from air to cornea.
  • Iris: the coloured ring of muscle that changes the size of the pupil, the opening that lets light in. In bright light the pupil shrinks; in dim light it widens.
  • Lens: a flexible converging lens that does the fine focusing. The ciliary muscles change its shape: rounder (shorter focal length) for near objects, flatter for distant objects. This adjusting is called accommodation.
  • Retina: the light-sensitive layer at the back. Rods work in dim light (black and white); cones detect colour and fine detail.
  • Optic nerve: carries signals to the brain. Where it leaves the eye there are no rods or cones: this is the blind spot.

The cornea and lens together act as a converging lens. The image on the retina is real, inverted and smaller, just like in a camera. Your brain flips it so you see the world right side up.

corneairispupil (opening)lensciliary muscleretinaoptic nerveblind spotvitreous humour
A simplified cross-section of the human eye (not to scale). Light passes through the cornea, pupil and lens and is focused on the retina.

Common vision problems

  • Nearsightedness (myopia): distant objects are blurry. The eyeball is a little too long (or the cornea too curved), so light from distant objects focuses in front of the retina. Correction: a diverging lens spreads the rays out slightly so the eye focuses them farther back, on the retina.
  • Farsightedness (hyperopia): near objects are blurry. The eyeball is too short (or the focusing is too weak), so light would focus behind the retina. Correction: a converging lens adds extra bending.
  • Presbyopia: with age (often starting in a person's 40s), the lens becomes stiffer and cannot become round enough to focus on near objects. Correction: converging reading glasses, bifocals or progressive lenses.
  • Astigmatism: the cornea is curved more in one direction than another (shaped a bit like the back of a spoon instead of a ball), so vision is blurry or stretched at all distances. Correction: lenses curved more in one direction (cylindrical lenses).
Nearsighted (myopia)focuses in front of the retinaCorrected with a diverging lensnow focuses on the retina
Myopia. Left: parallel rays from a distant object focus in front of the retina, then spread out again, making a blur. Right: a diverging lens makes the rays spread slightly before they enter the eye, so they focus on the retina. (The cornea and lens are modelled as one thin lens; drawn to scale with the paraxial lens model.)
Farsighted (hyperopia)would focus behind the retinaCorrected with a converging lensnow focuses on the retina
Hyperopia. Left: the eye's focusing is too weak, so the rays reach the retina before they meet (the dashed lines show where they would meet). Right: a converging lens adds bending so the rays meet on the retina.

Lens power: reading a prescription

Eye-care professionals describe lenses by their power (P) instead of their focal length:

P = 1 / f, with f in metres. The unit is the dioptre (D).

  • A converging lens has positive power; a diverging lens has negative power.
  • A stronger lens (shorter focal length) has a larger power.
Worked example

Example 1: What does −2.50 D mean?

Aanya's prescription says −2.50 D for each eye. What kind of lens is this, what is its focal length, and what vision problem does she have?

  1. The power is negative, so it is a diverging lens.
  2. f = 1 ÷ P = 1 ÷ (−2.50 D) = −0.400 m = −40.0 cm.
  3. Diverging lenses correct nearsightedness.

A diverging lens with f = −40.0 cm; Aanya is nearsighted (myopic).

Worked example

Example 2: Reading glasses

Reading glasses have a focal length of +50 cm. What is their power?

  1. Convert to metres: f = 0.50 m.
  2. P = 1 ÷ f = 1 ÷ 0.50 m = +2.0 D.

P = +2.0 D: converging lenses for presbyopia or farsightedness.

Evaluating vision technologies

To evaluate a technology, judge it against clear criteria: how well it works, safety and risks, cost, convenience, and who can use it.

  • Eyeglasses: simple, safe and relatively inexpensive; easy to update when a prescription changes. But they can fog up in winter when you come in from the cold, slide down during sports, and limit side (peripheral) vision at the edges of the frames.
  • Contact lenses: thin lenses that sit on the tear film over the cornea; they move with the eye, giving a wider field of view, and are good for sports. But they require careful hygiene; misuse (sleeping or swimming in lenses not meant for it, poor cleaning) can cause serious eye infections.
  • Laser eye surgery (such as LASIK and PRK): a precise ultraviolet laser reshapes the cornea, changing its focusing power so the image lands on the retina. Many patients no longer need glasses for distance vision. Risks include dry eyes and glare or halos around lights at night, and rarely more serious problems. It is not suitable for everyone (for example, people whose prescription is still changing, as it often does in the teen years), and in Ontario it is generally paid for by the patient, not by OHIP. Some clinics use very fast femtosecond lasers, which rely on chirped pulse amplification, the technique that earned Canadian physicist Donna Strickland (University of Waterloo) a share of the 2018 Nobel Prize in Physics.
  • Seeing light we can't see: thermal (infrared) cameras detect the infrared radiation that warm objects give off. Firefighters use them to find people in smoke-filled rooms, search-and-rescue teams use them at night, and energy auditors use them to find where a house is losing heat in winter. Image-intensifier night-vision devices amplify the tiny amount of light available at night.
  • Inuit snow goggles: for many generations, Inuit have carved snow goggles from materials such as wood, bone or antler, with narrow slits to look through. They cut down the intense light reflected from snow and ice and help prevent snow blindness, a painful sunburn of the cornea caused by ultraviolet light. Inuit makers continue to carve them today, and modern sunglasses and ski goggles with UV protection do the same job.
CriterionEyeglassesContact lensesLaser surgery
Effectivenesscorrects most problems wellcorrects most problems well; wider field of viewoften removes need for distance glasses; result may change with age
Safety and risksvery safeinfection risk if misusedsurgery risks: dry eye, halos, rare complications
Costlow to moderate, repeatedongoing cost of lenses and solutionshigh one-time cost
Conveniencefog up, can breakdaily care neededno daily care afterwards
Who can use italmost everyonemost people; need to handle lensesadults with a stable prescription and suitable corneas
A sample evaluation organizer. A full evaluation would cite reliable sources for each point.

Judging your sources (A1.9)

When researching a vision technology, ask who wrote it and why. A laser-surgery clinic's website may highlight benefits and play down risks, because it is selling a service. Compare it with sources that have no product to sell, such as government health agencies, professional associations of optometrists and ophthalmologists, and peer-reviewed research. Note the date: technology changes quickly.

Careers in vision and optics

  • Optometrist: examines eyes, diagnoses vision problems and prescribes glasses and contact lenses. Requires several years of university study, including a Doctor of Optometry (OD) program (four years at the University of Waterloo, after at least three years of university science). In Canada, optometry is taught at the University of Waterloo (in English) and the Université de Montréal (in French).
  • Ophthalmologist: a medical doctor who specializes in eye diseases and eye surgery, including laser surgery. Requires medical school and several more years of specialized residency training.
  • Optician: fits and dispenses eyeglasses and contact lenses from a prescription. In Ontario, opticians complete a college program and are regulated by a professional college.
  • Others: vision scientists, photonics and laser technicians, optical engineers who design cameras and sensors.
Just for fun

Why did the eyeball go to school?

To get its pupils in order. (And the teacher had excellent vision for the class.)

Hands-on activity

Explore your own eyes

You need: an index card, a pen, a ruler, a book with small print, a piece of aluminium foil and a pin (with a grown-up).

  1. Find your blind spot. On the card, draw a small + and, 8 cm to its right, a dot. Close your left eye and look at the + with your right eye. Start with the card at arm's length and slowly bring it towards your face. At a certain distance the dot disappears: its image has landed on your blind spot, where the optic nerve leaves the eye.
  2. Measure your near point. Hold the book at arm's length and slowly bring it closer until the print just starts to blur. Measure the distance from your eye. (Young people's near point is often 10 cm to 25 cm; it grows with age.) Compare with a grown-up's near point.
  3. Pinhole vision. With a grown-up, poke a tiny hole in the foil with the pin. If anyone in your home is nearsighted, have them remove their glasses and look at a distant sign through the pinhole. Is it sharper? A pinhole lets through only rays close to the centre, so blur is reduced (but the image is dimmer).
  4. Write a short explanation of each observation using the vocabulary of this lesson.

What to look for: the dot vanishes at about 20 cm to 30 cm; adults usually have a farther near point than teens; the pinhole makes distant objects clearer but darker.

Safety (grown-up note): Use the pin carefully and never put anything near the eye itself. Never look at the Sun through a pinhole.

Your turn

1

Which part of the eye does most of the focusing?

2

Describe the image formed on the retina using SALT.

3

What is accommodation?

4

A person cannot see distant objects clearly. Name the condition and the type of corrective lens.

5

Find the focal length of a +4.0 D lens.

6

Explain how laser eye surgery corrects vision.

More practice: warm-up

1

What controls the size of the pupil?

2

Which receptors detect colour?

3

What is the unit of lens power?

4

Is a −3.0 D lens converging or diverging?

5

Why is there a blind spot?

More practice: on your own

1

A lens has f = −0.25 m. Find its power and state what condition it would correct.

2

Explain why many people over 45 need reading glasses even if they never needed glasses before.

3

Explain how a thermal camera lets firefighters see a person in a smoke-filled room.

4

Give one benefit and one risk of contact lenses compared with eyeglasses.

5

How do Inuit snow goggles protect the eyes? Name the condition they help prevent.

Challenge

1

A nearsighted student can see clearly only up to 2.0 m away (her far point). A diverging lens must make distant objects appear at 2.0 m: in other words, it must form a virtual image at 2.0 m of an object very far away. What focal length and power does she need? (Ignore the small distance between the glasses and the eye.)

2

Evaluate laser eye surgery for a 16-year-old who wants to stop wearing glasses. Use at least three criteria.

3

A website about a new eye-drop that "cures nearsightedness in a week" has no author, no references and sells the product. Assess its reliability and suggest what you would do next.

Check your understanding

Quiz

1.

The image formed on the retina is:

2.

Nearsightedness is corrected with a:

3.

What is the focal length of a +2.5 D lens?

4.

Which part of the eye changes shape to focus on near objects?

5.

Laser eye surgery corrects vision by:

6.

A thermal camera detects:

For parents and teachers

Big idea: Expectation E1.1 asks students to analyse a technology related to human perception of light and evaluate its effectiveness. The eye is a converging-lens system; glasses, contacts and surgery all change where the image lands. Students also practise judging sources (A1.9) and learning about careers (A2.1).

Common difficulties:

  • Mixing up myopia and hyperopia. Myopia = "my-near": you see near things clearly. Diverging lenses (negative prescriptions) correct it.
  • Dioptres. P = 1/f only works with f in metres.
  • Evaluating vs describing. An evaluation must use criteria and reach a justified judgement.

How to help: If anyone at home wears glasses, look at the prescription together and work out the focal length of each lens. Do the blind-spot test together. If your teen is curious about careers, optometrists are often happy to answer questions during an eye exam. In Ontario, OHIP covers a yearly eye exam for people aged 19 and under.