Foucult Test for Spherical Symmetry


The main requirements for this test are the same as for the quick test for radius of curvature. Only you need to make off axis measurements at the desired center of curvature. To do this you must be able to measure distances at right angles to the mirror's central axis out to at least the mirror's radius of 5", on both sides of the mirror's central axis. A pair of steel 12" rulers were available and proved very useful.

For this test, you place the rulers at right angles to the yard stick at half the distance out from the mirror to the measured center of curvature. One ruler is placed on one side of the central yard stick, and the other ruler is placed on the other side of the yard stick. The formation resembles a cross. The rulers are now located in the mirror's focal plane and measure distances away from the mirror's central axis along the mirror's focal plane, on either side of the central axis.

With a little care, you can mount the candle at a known distance away from the central axis, so that the candle is also in the mirror's focal plane.

The image of the candle should come to a focal point in the same focal plane, at the same distance out from the mirror's central axis on the opposite side of that axis. Knowing this, you place a Razor Edge just a little further out along the focal plane where you expect the focal point of the image to be, and place your eye behind the expected focal point.

Now you carefully move the Razor Edge in along the focal plane towards the central axis, and observe what happens as the razor edge cuts through your focal point.

The lens should darken evenly all over, and appear flat if the mirror is perfectly spherical. Also, moving the knife edge slightly across this point should not cause a moving shadow across the face of the mirror.

If the mirror is not spherical, the mirror will not darken evenly all over, will not appear flat, and a shadow of the razor's edge will move across the face of the mirror.