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Simple Optical Properties of Lenses and Mirrors

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In this section, we look at some of the properties of ideal lenses and mirrors.  The level is pretty simple throughout; little more than basic trigonometry is assumed.  None the less some of the results get rather complex.

In this section, we're going to assume that lenses and mirrors form images, and then look at some of the details of the image formation.  Elsewhere, we proved that parabolic mirrors bring light to a focus.  A proof that a parabolic lens brings light to a focus would be a bit more complex, as lenses are not quite so simple as mirrors, but geometrically very similar.  In no case do we attempt to prove that parabolic mirrors or lenses actually form perfect images -- as, in fact, they don't.  We discuss this in a little more detail when we consider ideal lenses and mirrors.

A discussion of what we mean by an "ideal" lens or mirror, along with some notes on how they differ from real lenses and mirrors. Ideal Lenses and Mirrors
A discussion of images formed by lenses and mirrors:  whether they're real or virtual, how large they are, and where they're formed.Lens and Mirror Images
We determine the brightness of the image formed in a simple camera.  This result is needed for some other things we'll do later.Camera Image
Brightness
It's impossible to build a telescope, pair of binoculars, or other optical instrument out of simple mirrors and lenses which makes extended objects appear brighter.  In other words, nebulae will always appear dim when viewed through an ordinary telescope.Visual
Image Brightness


Page created on 9/23/07.  Updated on 9/26/07.