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Chapter 2: Image Formation and Applications of Lenses

Applications of lenses: the eye, the camera, the magnifying glass

The eye, a natural optical system

The eye can be modeled as a converging lens (the crystalline lens, together with the cornea) that forms an image on a fixed screen: the retina. Unlike a camera, the eye cannot move its "sensor": it is the focal length of the crystalline lens that varies through accommodation (contraction of the ciliary muscles), so that the image always stays in focus on the retina, whether the object is near or far.

The camera

A camera uses a converging lens (the lens/objective) that forms a real, inverted image on a sensor. Here, it is the distance between the lens and the sensor (the focusing) that varies, not the focal length of the lens itself.

The magnifying glass

The magnifying glass is a simple converging lens used when the object is placed between the optical center and the object focal point (OA < f'). In this configuration, the image formed is virtual, upright, and enlarged: the eye, placed just after the lens, sees it as if the object were bigger.

Summary table

Instrument Lens type Typical object position Nature of the image
Eye converging (variable) variable, focal length adjusted real, on the retina
Camera converging generally beyond 2f' real, inverted, on the sensor
Magnifying glass converging between O and f' virtual, upright, enlarged

Classic pitfall

Do not say that the eye "moves its retina" to focus: it is the focal length of the crystalline lens that changes (accommodation), not the position of the retina, unlike the camera, where it is the position of the sensor/film relative to the lens that is adjusted.