I'm getting parts together for a Galilean beam expander (above) using a concave negative lens and a large PCX or plano-convex lens but there is one thing I don't quite understand which is the exact placement of the negative lens. Someone please check me on this:
My understanding is that a negative lens has a focal point for a virtual image in front of the lens (towards and in between itself and the PCX lens). From the above diagram I found on the Newport web site, it appears I just add the two focal points together and that is the distance between the two lenses for optimum magnification. Is it that simple? Maybe another way of doing this is to place the negative lens far enough away from the PCX or output lens so that the larger lens is neither under or over illuminated by the laser light diverging through the first lens, making sure the available light does not over or under shoot its diameter? If this is the case, no need to measure if you do it that way, you would just need to know the approximate focal lengths and move the lens around until you had it right.
I imagine you could under illuminate the output lens, or have the spot of light 1/2 the size of the lens and it would work fine, just that you would not have near the possible expansion that you could otherwise have. The above diagram does not show most of the laser light falling upon the entire surface of the PCX lens, if the spot should be close to the diameter of that lens for maximum expansion, then this drawing is somewhat misleading to me.
If all of my assumptions are correct, a zoom beam expander of this type is simply a negative lens which can move in or out enough so that the PCX lens (with a much longer focal length) is entirely illuminated (or has a spot of light upon its surface big enough to cover the whole lens) and when wanting a tighter or smaller output beam, the negative lens is pulled back so the spot of light only partially covers it and thus less magnification of the beam size.
If I'm wrong about any of this someone please show me the light, so to speak
THANKS for reading my post/questions!