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Beam Expander
Physics Lenses System and Laser Problem?
Two positive lenses are to be used as a laser beam expander. An axial 1.0 mm diameter beam enters the short focal length positive lens, which is followed by a somewhat longer focal length positive lens, from which it emerges with a diameter of 8.0 mm. Given that the first lens has a 50.0 mm focal length, determine the focal length of the second lens and the separation between the lenses.
I've been struggling with this problem and can't find a solution that makes sense.
Your help will be greatly appreciated.
Thank you
Now this I can help with - I build these things!
The rule is that the ratio of the focal lengths is equal to the ratio of the beam expansion. That is, f1/f2 = d1/d2.
You can verify this through some simple ray tracing... if you sketch a collimated beam hitting a lens, it focuses at f1 away. In order to recollimate the beam, the second lens has to be positioned f2 away from this focus. The two triangles formed are similar, and hence the ratio of the beam diameters equals the ratio of the focal lengths. The two lenses are therefore a distance f1+f2 apart.
For your particular problem, the ratio of diameters is 8 - therefore the second lens has a focal length of 8*50mm = 400mm, and the distance between the two is 450mm.
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remote control and laser light beam expander (on and off again)ريموت كنترول
What is a Beam Expander?
Used in optics...how does it work and why do you need it?
Thanks!
It's basically a little telescope (usually Galilean), but you shine a laser beam in backward through the "eyepiece" and it comes out the "objective" larger in diameter, but still collimated. You can focus it to a small spot at some distance, though, by adjusting the lens separation ("focus"). It expands the beam by the same factor as its magnification when used as a telescope.
According to diffraction theory, the greater you expand the beam, the smaller the spot it can be focused to at a given distance. So, one common application is to make a small intense spot at a distance. Another is if you need the large beam to begin with for illuminating a large object. You can also run the beam through the other way to contract it, so that it can then be processed with smaller optics.
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