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Focal length equation from Radii of Curvature and refractive index of lens

 
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Mar2-12, 07:58 AM   #1
 

Focal length equation from Radii of Curvature and refractive index of lens


Hi all,

I'm looking for an equation which will give me the focal length of a biconvex lens given that we know both Radii of curvature, the thickness of the lens and the refractive index inside and outside.

An equation is given on wikipedia here http://en.wikipedia.org/wiki/Focal_length as



I need something I can reference though and I can't see this equation anywhere else I look. Also I need a more general version of the equation which involves the refractive index of the substance surrounding the lens.
Could anyone point me to a derivation of this formula or lead me in the right direction?

I also need to find a legitimate source for the back focal distance shown on the same page of wikipedia:



Thanks all!

EDIT: Found what I was looking for, just needed a bit more snooping!
http://physics.tamuk.edu/~suson/html/4323/thick.html
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Mar2-12, 09:23 AM   #2
 
Mentor
Any decent optics textbook (e.g. Hecht) should have that equation, in a chapter on thick lenses.
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biconvex, focal length, lens, optics
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