Why doesn't a biconvex lens cancel itself out and not change the light beam?

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theonlywalks
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When you have a biconvex, i.e. two convex lens' back to back, doesn't the light beam just come out straight?

Since one convex lens is back to back with another, essentially it is a convex lens, followed by a concave lens. The light would first hit the convex lens, and the light would converge. Then the light would hit the concave lens, and the light would diverge.

This is what happens when the light ray hits each of these independently, yet for some reason when they are back to back (i.e. a biconvex lens) the light gets super converged.

I would think that the light would converge, then it would diverge, and thus be back to what it was originally.

If you take a convex lens and it converges the light coming onto it, then if you flip the lens so the light is coming in the opposite side, the light would diverge would it not?
 
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theonlywalks said:
When you have a biconvex, i.e. two convex lens' back to back, doesn't the light beam just come out straight?

Since one convex lens is back to back with another, essentially it is a convex lens, followed by a concave lens. The light would first hit the convex lens, and the light would converge. Then the light would hit the concave lens, and the light would diverge.
etc
You only have to look at any simple lens / ray path diagram to see that you can't possibly be right. What 'cancelling out effect' is there? If you turn right then turn right again, you don't end up going straight!
If in doubt look at Google / Wikkers