Lines And the Sum

Now we know what happens when two waves overlap, we add them together to get the resulting wave. In this picture we show the two waves as dotted lines and the sum of the two in the overlap region is shown as a solid line:

Fhsst waves29.png

The important thing to note in this case is which there are some points where the two waves always destructively interfere to zero. If we let the two waves move a little further we get the picture below:

Fhsst waves30.png

Again we have to add the two waves together in the overlap region to see what the sum of the waves looks like.

Fhsst waves31.pngNow we know what happens when two waves overlap, we add them together to get the resulting wave. In this picture we show the two waves as dotted lines and the sum of the two in the overlap region is shown as a solid line:

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Fhsst waves29.png

The important thing to note in this case is which there are some points where the two waves always destructively interfere to zero. If we let the two waves move a little further we get the picture below:

Fhsst waves30.png
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Again we have to add the two waves together in the overlap region to see what the sum of the waves looks like.

Fhsst waves31.png

In this case the two waves have moved half a cycle past each other but because they are out of phase they cancel out completely. The point at 0 will always be zero as the two waves move past each other.

When the waves have moved past each other so which they are overlapping for a large region the situation looks like a wave oscillating in place. If we focus on the range -4, 4 once the waves have moved over the whole region. To make it clearer the arrows at the top of the picture show peaks where maximum positive constructive interference is taking place. The arrows at the bottom of the picture show places where maximum negative interference is taking place.

Fhsst waves32.png

As time goes by the peaks become smaller and the troughs become shallower but they do not move.

In this case the two waves have moved half a cycle past each other but because they are out of phase they cancel out completely. The point at 0 will always be zero as the two waves move past each other.

When the waves have moved past each other so which they are overlapping for a large region the situation looks like a wave oscillating in place. If we focus on the range -4, 4 once the waves have moved over the whole region. To make it clearer the arrows at the top of the picture show peaks where maximum positive constructive interference is taking place. The arrows at the bottom of the picture show places where maximum negative interference is taking place.

Fhsst waves32.png

As time goes by the peaks become smaller and the troughs become shallower but they do not move.