Effective Focal Length of Multiple Lenses


by RWard29
Tags: effective, focal, length, lenses, multiple
RWard29
RWard29 is offline
#1
Oct14-11, 12:51 PM
P: 2
In my Optics book (Hecht, 4th edition) the author discusses how, when dealing with a multiple lens system (say, with n many lenses), one can think of the system as a single lens system, with an effective focal length given by:

1/f(effective) = 1/f1 + 1/f2 + ... + 1/fn

My question is this: Where is the resulting "effective" lens located, with respect to the original source (or with respect to the original lenses)? I am dealing with a simple two lens system, and I've tried placing the lens at the midpoint between the original two, and at the location of lens 1, but neither gives the correct answer.
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RWard29
RWard29 is offline
#2
Oct14-11, 01:15 PM
P: 2
Nevermind. I just answered my own question; I read what I wanted to see, not what was actually there. The formula I quoted applies only to thin lenses which are in contact with each-other, in which case the position of said "effective" lens is already well-defined.


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