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Lesson 10 of 10Light & Geometric Optics
Unit 4 · Lesson 10 of 10

The Eye, Vision Correction and Optical Devices

How the eye forms an image and focuses, why nearsightedness and farsightedness happen and how lenses and laser surgery correct them, and how cameras, microscopes, telescopes and binoculars combine lenses, mirrors and prisms.

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Key things to remember

  1. 1The eye forms a real, inverted, smaller image on the retina; the cornea does most of the focusing and the lens fine-tunes it.
  2. 2Accommodation: the eye changes the shape of its lens to focus; a camera moves its lens instead.
  3. 3Myopia (focus in front of the retina) is corrected with a diverging lens; hyperopia (focus behind) with a converging lens.
  4. 4Lens power: in dioptres with in metres; negative power means a diverging lens.
  5. 5Microscope total magnification = objective magnification × eyepiece magnification.
  6. 6The largest telescopes are reflectors; binoculars use prisms and total internal reflection to make the image upright.

Your eye is a converging-lens camera made of living tissue. It forms a real, inverted image on a light-sensitive screen, adjusts how much light gets in, and refocuses in a fraction of a second when you look up from your phone to the far side of the room. Every optical device in this lesson, from eyeglasses to the cameras in space telescopes, is built from the mirrors, lenses and prisms you have already studied.

corneapupilirislensretinaoptic nerveParts of the eyeNormal visionparallel rays from a far objectfocus exactly on the retinaMyopia (nearsightedness): far objects look blurryuncorrectedcorrecteddiverging lensfocus falls in front of the retina(eyeball too long or lens too strong)diverging lens spreads the rays first;focus moves back onto the retinaHyperopia (farsightedness): near objects look blurryuncorrectedcorrectedconverging lensfocus falls behind the retina(eyeball too short or lens too weak)converging lens bends the rays inward;focus moves forward onto the retina
Fig 1Parts of the eye (cornea, iris, pupil, lens, retina, optic nerve) and three panels: normal vision focuses on the retina; in myopia light focuses in front of the retina and a diverging lens corrects it; in hyperopia light focuses behind the retina and a converging lens corrects it.
PartJobCamera equivalent
CorneaClear front surface; does most of the bending of light (about two-thirds)Front element of the lens
IrisColoured muscle ring that changes the size of the pupilDiaphragm (aperture control)
PupilThe opening that lets light in; widens in dim light, narrows in bright lightAperture
LensFlexible converging lens that fine-tunes the focusFocusing lens
RetinaLayer of light-sensitive cells (rods for dim light, cones for colour) where the image formsImage sensor
Optic nerveCarries signals from the retina to the brainCable to the processor

The image on your retina is real, inverted and much smaller than the object; your brain interprets it the right way up. Because the distance from lens to retina is fixed, the eye focuses on objects at different distances by changing the shape of its lens, a process called accommodation. Ciliary muscles let the lens become fatter (shorter focal length) for close objects and pull it thinner (longer focal length) for distant ones. A camera does the same job differently, by moving its lens closer to or farther from the sensor.

Vision problems and their corrections

ConditionWhat is wrongWhere light focusesCorrection
Myopia (nearsightedness): near is clear, far is blurryEyeball too long, or cornea too strongly curvedIn front of the retinaDiverging lens (negative power) spreads the rays first
Hyperopia (farsightedness): far is clear, near is blurryEyeball too short, or lens too weakBehind the retinaConverging lens (positive power) adds extra bending
Presbyopia: trouble focusing up close with age, usually noticeable from the early to mid-40sThe lens stiffens and cannot accommodateBehind the retina for near objectsConverging reading glasses, bifocals or progressive lenses
Astigmatism: blurry at all distancesCornea curved unevenly, more in one directionNot to a single pointLenses curved differently in different directions
Reading a prescription: lens power
Eyeglass prescriptions give the lens power , with in metres, in units of dioptres (D). A power of means a diverging lens with , which corrects myopia. A positive power means a converging lens for hyperopia or presbyopia. Larger powers mean stronger lenses.

Laser eye surgery reshapes the cornea itself so that glasses are no longer needed. In LASIK, a thin flap is cut in the front of the cornea and folded back, an ultraviolet laser removes microscopic amounts of tissue to change its curve, and the flap is laid back down. To fix myopia the centre of the cornea is flattened, weakening its converging power; for hyperopia it is made steeper. Contact lenses work like glasses but sit directly on the cornea.

Optical devices

  • Camera: a converging lens forms a real, inverted, smaller image of a distant scene on a sensor, just like the converging-lens case with the object beyond 2F. The aperture controls the light, and the lens moves to focus.
  • Microscope: an objective lens with a short focal length forms a real, inverted, enlarged image of the specimen inside the tube; the eyepiece acts as a magnifying glass on that image, giving a larger virtual image. Total magnification = objective × eyepiece, so a objective with a eyepiece gives .
  • Refracting telescope: a large objective lens with a long focal length collects light from a distant object and forms a real image near its focal point; the eyepiece magnifies that image.
  • Reflecting telescope: a large concave mirror replaces the objective lens. Big mirrors can be supported from behind and do not split colours the way lenses do, so all of the world's largest telescopes are reflectors.
  • Binoculars: a pair of short refracting telescopes. Inside, glass prisms use total internal reflection to flip the inverted image upright and fold the long light path into a compact case.
principal axisconverging lens2FFF′2F′objectreal image1 parallel to the axis → refracts through F′2 through the optical centre → goes straight3 through F → refracts parallel to the axisImage: real, inverted, smaller, between F′ and 2F′ (rays really meet there)
Fig 2The same converging-lens diagram describes a camera or the eye: an object beyond 2F produces a real, inverted, smaller image on the far side, where the sensor or retina sits.
A Canadian behind digital imaging
Willard Boyle, born in Amherst, Nova Scotia, co-invented the charge-coupled device (CCD) with George Smith at Bell Labs in 1969. A CCD turns the light falling on a grid of tiny pixels into electrical signals, and it made the first digital cameras, scanners and space telescope cameras possible (most phone cameras today use a newer CMOS sensor). Boyle and Smith shared the 2009 Nobel Prize in Physics. Canada also built the Fine Guidance Sensor and the NIRISS science instrument for the James Webb Space Telescope.
  • Optometrist: examines eyes, tests vision and prescribes glasses and contact lenses (a university Doctor of Optometry degree; Ontario's program is at the University of Waterloo).
  • Ophthalmologist: a medical doctor who specializes in eye disease and eye surgery, including laser surgery.
  • Optician: fits and dispenses eyeglasses and contact lenses from a prescription.
  • Optical engineer: designs lenses, cameras, laser systems and fibre-optic networks.
  • Photographer: chooses lenses, apertures and focus to control exactly how light reaches the sensor.

Worked examples

Reveal one step at a time and try to beat it to the next line.

Example 1
A prescription reads . What type of lens is it, what is its focal length, and what condition does it correct?
Example 2
Model the eye as a single lens from the retina. What focal length does the eye need to focus (a) a very distant object and (b) a book away?
Example 3
A microscope has a eyepiece and a objective. A cell is wide. How wide does it appear, and is the image upright or inverted?

Where marks get lost

  • Correcting nearsightedness with a converging lens. Myopic eyes already converge light too strongly, so a diverging lens is needed.
  • Thinking the lens of the eye does most of the focusing. The cornea does about two-thirds of it; the lens fine-tunes.
  • Saying the eye focuses by moving its lens like a camera. The eye changes the lens's shape (accommodation).
  • Adding the objective and eyepiece magnifications. Total magnification is their product: and give , not .
  • Using centimetres in . Dioptres require the focal length in metres.

Flashcards 10

Accommodation
Myopia
Hyperopia
Presbyopia
+ 6 more

Practice

1
A student can read the board up close but sees distant signs as blurry. Which condition and correction match?
2
Match each part of the eye to the camera part that does the same job.
Retina
Pupil
Iris
Optic nerve
3
An eyeglass lens has a focal length of . What is its power in dioptres? Give 1 decimal place.
D
4
A prescription is . What is the focal length of the lens, in cm? Include the sign.
cm
5
A microscope has a eyepiece and a objective. What is the total magnification?
×
6
Model the eye as a lens in front of the retina. What focal length, in cm, does it need to focus on an object away? Give 2 decimal places.
cm
7
Which describes the image formed on the retina?
8
Sort the parts of the eye in the order light passes through or reaches them.
  1. 1Optic nerve
  2. 2Retina
  3. 3Lens
  4. 4Cornea
  5. 5Pupil
9
Why do binoculars contain glass prisms?
10
What is the name of the eye's process of changing the shape of its lens to focus on objects at different distances?

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