Optics 1 And you.

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Presentation transcript:

Optics 1 And you

Simplify the lens Upper and lower prism, with a cube in the middle. Light rays enter the prisms and are refracted. And rays straight through the cube as well. This area of intersection is known as the focal point (f)

A thick lens will have a shorter focal point As well as a shift (offset) in the rays moving through the cube at an angle focal length Note the rays enter and leave the cube at the same angle – but offset by this much

So we will always assume We are dealing with a thin lenses with little offset distortion

Lens demo here!!!

Lens Diagram do = 2f Draw: A lens with an x axis going through it A point in the middle of the lens, at 3cm and 6 cm on either side (on x axis) Label as follows: note: do and di are 2x focal length A line 1.5 cm up at do A line 1.5 cm down at di Label ho (object) and hi (image) Ray 1 parallel to x axis, ray 2 through f, and ray 3 through the center lens. ho = 1.5cm high Focus = 3cm di = 6cm focus = 3cm do = 6cm hi

The fun math part hi / ho = (di – f) / f (di – f) / f = di / do di / do = hi / ho Lens equation: 1/do + 1/di = 1/f f di = 6cm ho focus = 3cm do = 6cm hi

The Signs f is + with converging lens do is + when obj. and light are on same side of lens (almost always) di is + when image on opp. Side of lens from object ho is + always (so hi is negative here) M (magnification) = hi / ho = -di /do ho = 1.5cm high Focus = 3cm di = 6cm focus = 3cm do = 6cm hi

Second lens diagram do = 1.5f f = 3 cm , ho = 1.5 cm When you are finished, measure di Then use the lens equation to calculate what di should be di = 9 cm

Did your diagram look like this?

Now please diagram do = f f = 3 cm, ho = 1.5 cm

Did yours look like this?? No intersection = no image!!!!!!!!!!!!!!

Now diagram do = .8f make this one large – start in the middle of the page f = 3 cm, ho = 1 cm

Notice intersection is on object side of lens = magnification

? di in this situation? Lens equation: 1/do + 1/di = 1/f * note di will be negative here (not on opposite side of lens di = - 12 cm

Convex and concave Converging diverging spoon, car mirror f f