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Introductory Physics Volume Two

Introductory Physics Volume Two

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8.6 Thin Lens Equation 167<br />

back in an hour the sun will have moved up in the sky, and the rays will<br />

no longer be parallel to the optical axis. The rays will still converge at<br />

a point but it will not be the focal point of the lens. The new focus<br />

will be in the focal plane, a plane parallel to the plane of the lens and<br />

one focal length away from the lens.<br />

Focal Plane<br />

Optical Axis<br />

Notice that the ray that passes through the center of the lens is not<br />

deflected. This is a particularly nice ray for doing constructions of<br />

images, as we will see. In this case it allows us to find the location of<br />

the focus, since the focus is at the intersection of this straight line and<br />

the focal plane. Once we have found the focus, using the central ray,<br />

we can draw the other rays, because they must pass though the focus<br />

also.<br />

We can also reverse these diagrams: Light that comes from a point<br />

in the focal plane and strikes the lens leaves the lens parallel to the ray<br />

that passes through the center of the lens.<br />

We have seen what happens to groups of rays that are parallel to<br />

each other. Let us now see what happens to groups of rays that diverge<br />

from a point that is not in the focal plane. Suppose that you have light<br />

radiating from a point. The point is indicated by the fat arrow on<br />

the left, in the following diagram. We follow the light from this point<br />

source to it’s focus.

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